Precalculus
17th Edition
ISBN: 9780077538286
Author: Julie Miller
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 11.7, Problem 44PE
Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are
If a plant with two yellow genes
Suppose that one parent pea plant has genotype
a. Make a chart showing the possible genotypes of the offspring.
b. What is the probability that a given offspring will have green peas?
c. What is the probability that a given offspring will have yellow peas?
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Students have asked these similar questions
Scientist Gregor Mendel (1822-1884) is often called the "father of modern genetics" and is famous for his work involving
the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are Y for yellow and y
for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The Y gene is dominant,
and therefore a plant with genes YY will have yellow peas, a plant with genes Yy or yY will have yellow peas, and a plant
with genes yy will have green peas.
If a plant with two yellow genes (YY) is crossed with a plant with two green genes (yy), the result is four hybrid offspring
with genotypes Yy. The offspring will be yellow, but will carry the recessive green gene.
Parent 2
У
Yy Yy
Yy Yy
y
Parent 1
Suppose that both parent pea plants are hybrids with genotype Yy.
a. Make a chart showing the possible genotypes of the offspring.
b. What is the probability that a given offspring will have green peas?
c. What is the…
Some traits of plants and animals depend on inheritance of a single gene. This is called Mendelian inheritance, after Gregor Mendel (1822-1884). Each of us has an ABO blood type, which describes whether two characteristics called A and B are present. Every human being has two blood type alleles (gene forms), one inherited from our mother and one from our father. Each of these alleles can be A, B, or O. Which two we inherit determines our blood type. Here is a table that shows what our blood type is for each combination of two alleles.
Alleles inherited
Blood type
A and A
A
A and B
AB
A and O
A
B and B
B
B and O
B
O and O
O
We inherit each of a parent's two alleles with probability 0.5. We inherit independently from our mother and father.
What is the probability that both children have different blood types?
Sickle cell anemia is an inherited disease in which red blood cells become distorted and
deprived of oxygen. A person with two sickle cell genes will have the disease, but a
person with only one sickle cell gene will have a mild, nonfatal anemia called sickle
cell trait. If we use s to represent
a sickle cell gene, and S a healthy gene, the
table shows the four possibilities for the
children of one healthy, SS parent, and one
parent with sicke cell trait, Ss. Find the
probability that these parents give birth to a
child who has sickle cell anemia.
S
Healthy
First Parent S
Second Parent
(with Sickle
Cell Trait)
S
SS
SS
The probability that the parents give birth to a child who has sickle cell anemia =
(Type an integer or a simplified fraction.)
S
Ss
Ss
Chapter 11 Solutions
Precalculus
Ch. 11.1 - Write the first four terms of the sequence defined...Ch. 11.1 - Prob. 2SPCh. 11.1 - Evaluate. a. 9!2!7! b. n1!n!Ch. 11.1 - Prob. 4SPCh. 11.1 - Prob. 5SPCh. 11.1 - Prob. 6SPCh. 11.1 - Prob. 7SPCh. 11.1 - Prob. 1PECh. 11.1 - Prob. 2PECh. 11.1 - Prob. 3PE
Ch. 11.1 - For n1 , the expression represents the product of...Ch. 11.1 - Prob. 5PECh. 11.1 - Prob. 6PECh. 11.1 - Prob. 7PECh. 11.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 11.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 11.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 11.1 - Prob. 11PECh. 11.1 - Prob. 12PECh. 11.1 - Prob. 13PECh. 11.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 11.1 - Prob. 15PECh. 11.1 - If the nth term of a sequence is 1n+11n , which...Ch. 11.1 - Prob. 17PECh. 11.1 - For Exercises 17-20, the nth term of a sequence is...Ch. 11.1 - Prob. 19PECh. 11.1 - For Exercises 17-20, the nth term of a sequence is...Ch. 11.1 - Prob. 21PECh. 11.1 - For Exercises 21-24, match the sequence or...Ch. 11.1 - Prob. 23PECh. 11.1 - Prob. 24PECh. 11.1 - For Exercises 25-30, write the first five terms of...Ch. 11.1 - For Exercises 25-30, write the first five terms of...Ch. 11.1 - Prob. 27PECh. 11.1 - For Exercises 25-30, write the first five terms of...Ch. 11.1 - Prob. 29PECh. 11.1 - Prob. 30PECh. 11.1 - Prob. 31PECh. 11.1 - The number in the sequence defined by a1=1,a2=3 ,...Ch. 11.1 - Prob. 33PECh. 11.1 - Prob. 34PECh. 11.1 - Prob. 35PECh. 11.1 - Prob. 36PECh. 11.1 - Prob. 37PECh. 11.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 11.1 - Prob. 39PECh. 11.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 11.1 - Prob. 41PECh. 11.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 11.1 - Prob. 43PECh. 11.1 - Prob. 44PECh. 11.1 - Prob. 45PECh. 11.1 - For Exercises 45-48. the nth term of a sequence is...Ch. 11.1 - Prob. 47PECh. 11.1 - Prob. 48PECh. 11.1 - Prob. 49PECh. 11.1 - Prob. 50PECh. 11.1 - Prob. 51PECh. 11.1 - For Exercises 49-56, find the nth term an of a...Ch. 11.1 - Prob. 53PECh. 11.1 - Prob. 54PECh. 11.1 - Prob. 55PECh. 11.1 - Prob. 56PECh. 11.1 - Prob. 57PECh. 11.1 - For Exorcises 57-70, find the sum. (See Example 6)...Ch. 11.1 - Prob. 59PECh. 11.1 - Prob. 60PECh. 11.1 - Prob. 61PECh. 11.1 - For Exorcises 57-70, find the sum. (See Example 6)...Ch. 11.1 - Prob. 63PECh. 11.1 - For Exorcises 57-70, find the sum. (See Example 6)...Ch. 11.1 - Prob. 65PECh. 11.1 - Prob. 66PECh. 11.1 - Prob. 67PECh. 11.1 - Prob. 68PECh. 11.1 - Prob. 69PECh. 11.1 - Prob. 70PECh. 11.1 - Prob. 71PECh. 11.1 - Prob. 72PECh. 11.1 - Prob. 73PECh. 11.1 - Prob. 74PECh. 11.1 - Prob. 75PECh. 11.1 - Prob. 76PECh. 11.1 - Prob. 77PECh. 11.1 - Prob. 78PECh. 11.1 - Prob. 79PECh. 11.1 - Prob. 80PECh. 11.1 - For Exercises 75-86, write the sum using summation...Ch. 11.1 - Prob. 82PECh. 11.1 - Prob. 83PECh. 11.1 - Prob. 84PECh. 11.1 - Prob. 85PECh. 11.1 - For Exercises 75-86, write the sum using summation...Ch. 11.1 - Prob. 87PECh. 11.1 - Prob. 88PECh. 11.1 - Prob. 89PECh. 11.1 - Prob. 90PECh. 11.1 - Prob. 91PECh. 11.1 - For Exercise 91-94, sue the sums i=150i2=42,925...Ch. 11.1 - Prob. 93PECh. 11.1 - Prob. 94PECh. 11.1 - For Exercises 95-98, determine whether the...Ch. 11.1 - Prob. 96PECh. 11.1 - For Exercises 95-98, determine whether the...Ch. 11.1 - For Exercises 95-98, determine whether the...Ch. 11.1 - Prob. 99PECh. 11.1 - Prob. 100PECh. 11.1 - Prob. 101PECh. 11.1 - Prob. 102PECh. 11.1 - Given a sequence a1,a2,a3,,an , the arithmetic...Ch. 11.1 - Given a sequence a1,a2,a3,,an , the arithmetic...Ch. 11.1 - Prob. 105PECh. 11.1 - Prob. 106PECh. 11.1 - Prob. 107PECh. 11.1 - Prob. 108PECh. 11.1 - Prob. 109PECh. 11.1 - Prob. 110PECh. 11.1 - Prob. 111PECh. 11.1 - Prob. 112PECh. 11.1 - Prob. 113PECh. 11.1 - Prob. 114PECh. 11.1 - Prob. 115PECh. 11.1 - Prob. 116PECh. 11.1 - Prob. 117PECh. 11.1 - Using calculus, we can show that the series...Ch. 11.2 - Determine whether the sequence is arithmetic. If...Ch. 11.2 - a. Write the first four terms of an arithmetic...Ch. 11.2 - Prob. 3SPCh. 11.2 - Prob. 4SPCh. 11.2 - Find the number of terms of the finite arithmetic...Ch. 11.2 - For an arithmetic sequence, a11=65 and a25=149 ....Ch. 11.2 - Find the sum of the first 50 terms of the sequence...Ch. 11.2 - Find the sum. i=1804i+3Ch. 11.2 - Prob. 9SPCh. 11.2 - An sequence is a sequence in which each term after...Ch. 11.2 - Prob. 2PECh. 11.2 - Given an arithmetic sequence with first term a1...Ch. 11.2 - Prob. 4PECh. 11.2 - The sum of the first n terms of a sequence is...Ch. 11.2 - Prob. 6PECh. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 7-14, determine whether the sequence...Ch. 11.2 - For Exercises 15-18, a. Write the first five terms...Ch. 11.2 - For Exercises 15-18, a. Write the first five terms...Ch. 11.2 - For Exercises 15-18, a. Write the first five terms...Ch. 11.2 - For Exercises 15-18, a. Write the first five terms...Ch. 11.2 - For Exercises 19-24. a. Write a nonrecursive...Ch. 11.2 - For Exercises 19-24. a. Write a nonrecursive...Ch. 11.2 - For Exercises 19-24. a. Write a nonrecursive...Ch. 11.2 - For Exercises 19-24. a. Write a nonrecursive...Ch. 11.2 - For Exercises 19-24. a. Write a nonrecursive...Ch. 11.2 - For Exercises 19-24. a. Write a nonrecursive...Ch. 11.2 - Jim has 8 unread emails in his inbox before going...Ch. 11.2 - Sandy has a personal trainer who encourages her to...Ch. 11.2 - A new drug and alcohol rehabilitation program...Ch. 11.2 - A student studying to be a veterinarian’s...Ch. 11.2 - Suppose that an object starts with an initial...Ch. 11.2 - Prob. 30PECh. 11.2 - Find the 8th term of an arithmetic sequence with...Ch. 11.2 - Find the 19th term of an arithmetic sequence with...Ch. 11.2 - Find the 35th term of an arithmetic sequence with...Ch. 11.2 - Find the 46th term of an arithmetic sequence with...Ch. 11.2 - For Exercises 35-38, find the number of terms of...Ch. 11.2 - For Exercises 35-38, find the number of terms of...Ch. 11.2 - For Exercises 35-38, find the number of terms of...Ch. 11.2 - For Exercises 35-38, find the number of terms of...Ch. 11.2 - Prob. 39PECh. 11.2 - Prob. 40PECh. 11.2 - Prob. 41PECh. 11.2 - Prob. 42PECh. 11.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 11.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 11.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 11.2 - Prob. 46PECh. 11.2 - Prob. 47PECh. 11.2 - If the third and fourth terms of an arithmetic...Ch. 11.2 - Prob. 49PECh. 11.2 - Prob. 50PECh. 11.2 - Prob. 51PECh. 11.2 - Find the sum of the first 60 terms of the...Ch. 11.2 - Find the sum, 5+4.5+4+3.5++30.5Ch. 11.2 - Prob. 54PECh. 11.2 - Prob. 55PECh. 11.2 - Prob. 56PECh. 11.2 - Prob. 57PECh. 11.2 - For Exercises 55-64, find the sum. (See Example 8)...Ch. 11.2 - Prob. 59PECh. 11.2 - For Exercises 55-64, find the sum. (See Example 8)...Ch. 11.2 - Prob. 61PECh. 11.2 - Prob. 62PECh. 11.2 - Prob. 63PECh. 11.2 - Prob. 64PECh. 11.2 - Prob. 65PECh. 11.2 - Jose must choose between two job offers. The first...Ch. 11.2 - Prob. 67PECh. 11.2 - Prob. 68PECh. 11.2 - The students at Prairiewood Elementary plan to...Ch. 11.2 - Prob. 70PECh. 11.2 - Prob. 71PECh. 11.2 - Prob. 72PECh. 11.2 - Prob. 73PECh. 11.2 - Prob. 74PECh. 11.2 - Compute the sum of the first 50 positive integers...Ch. 11.2 - Prob. 76PECh. 11.2 - Prob. 77PECh. 11.2 - Prob. 78PECh. 11.2 - Prob. 79PECh. 11.2 - Prob. 80PECh. 11.2 - Prob. 81PECh. 11.2 - The arithmetic mean (average) to two numbers c and...Ch. 11.2 - Prob. 83PECh. 11.2 - Prob. 84PECh. 11.2 - Determine the nth term of the arithmetic sequence...Ch. 11.2 - Prob. 86PECh. 11.3 - Determine whether the sequence is geometric. If...Ch. 11.3 - Prob. 2SPCh. 11.3 - Write the nth terms of the geometric sequence....Ch. 11.3 - Find the sixth term of a geometric sequence an...Ch. 11.3 - Prob. 5SPCh. 11.3 - Prob. 6SPCh. 11.3 - Find the sum of the finite geometric series....Ch. 11.3 - Find the sum if possible. a. i=1434i1 b....Ch. 11.3 - Prob. 9SPCh. 11.3 - Prob. 10SPCh. 11.3 - Suppose that an employee contributes $100 to an...Ch. 11.3 - A sequence is a sequence in which each term after...Ch. 11.3 - The nth term of a geometric sequence with first...Ch. 11.3 - Prob. 3PECh. 11.3 - The sum Sn of the first n terms of a geometric...Ch. 11.3 - Prob. 5PECh. 11.3 - Prob. 6PECh. 11.3 - A sequence of payments made at equal intervals...Ch. 11.3 - Suppose that an infinite series a1+a2+a3++an...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 9-18, determine whether the sequence...Ch. 11.3 - For Exercises 19-24, write the first five terms of...Ch. 11.3 - Prob. 20PECh. 11.3 - Prob. 21PECh. 11.3 - For Exercises 19-24, write the first five terms of...Ch. 11.3 - Prob. 23PECh. 11.3 - Prob. 24PECh. 11.3 - Prob. 25PECh. 11.3 - For Exercises 25-30, write a formula for the nth...Ch. 11.3 - For Exercises 25-30, write a formula for the nth...Ch. 11.3 - Prob. 28PECh. 11.3 - Prob. 29PECh. 11.3 - For Exercises 25-30, write a formula for the nth...Ch. 11.3 - A farmer depreciates a 100,000 tractor. He...Ch. 11.3 - A Coulter Counter is a device used to count the...Ch. 11.3 - Doctors in a certain city report 24 confirmed...Ch. 11.3 - After a 5-yr slump in the real estate market,...Ch. 11.3 - Prob. 35PECh. 11.3 - For Exercises 35-42, find the indicated term of a...Ch. 11.3 - Prob. 37PECh. 11.3 - Prob. 38PECh. 11.3 - Prob. 39PECh. 11.3 - For Exercises 35-42, find the indicated term of a...Ch. 11.3 - Prob. 41PECh. 11.3 - Prob. 42PECh. 11.3 - If the second and third terms of a geometric...Ch. 11.3 - Prob. 44PECh. 11.3 - Prob. 45PECh. 11.3 - Prob. 46PECh. 11.3 - For Exercises 45-48, find a1 , and r for a...Ch. 11.3 - For Exercises 45-48, find a1 , and r for a...Ch. 11.3 - Prob. 49PECh. 11.3 - Prob. 50PECh. 11.3 - Prob. 51PECh. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - Prob. 54PECh. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - Prob. 57PECh. 11.3 - Prob. 58PECh. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - Prob. 62PECh. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - Prob. 67PECh. 11.3 - Prob. 68PECh. 11.3 - For Exercises 49-72, find the sum of the geometric...Ch. 11.3 - Prob. 70PECh. 11.3 - Prob. 71PECh. 11.3 - Prob. 72PECh. 11.3 - Prob. 73PECh. 11.3 - For Exercises 73-80, write the repeating decimal...Ch. 11.3 - Prob. 75PECh. 11.3 - For Exercises 73-80, write the repeating decimal...Ch. 11.3 - Prob. 77PECh. 11.3 - For Exercises 73-80, write the repeating decimal...Ch. 11.3 - Prob. 79PECh. 11.3 - Prob. 80PECh. 11.3 - Bike Week in Daytona Beach brings an estimated...Ch. 11.3 - An individual with questionable integrity prints...Ch. 11.3 - Rafael received an inheritance of 18,000 . He...Ch. 11.3 - A tax rebate returns 100 million to individuals in...Ch. 11.3 - Prob. 85PECh. 11.3 - Prob. 86PECh. 11.3 - Prob. 87PECh. 11.3 - a. An employee invests 500 per month in an...Ch. 11.3 - Prob. 89PECh. 11.3 - Prob. 90PECh. 11.3 - Prob. 91PECh. 11.3 - Prob. 92PECh. 11.3 - Prob. 93PECh. 11.3 - Prob. 94PECh. 11.3 - Prob. 95PECh. 11.3 - The initial swing (one way) of a pendulum makes an...Ch. 11.3 - Prob. 97PECh. 11.3 - Prob. 98PECh. 11.3 - Suppose that an individual is paid 0.01 on day 1...Ch. 11.3 - The vibration of sound is measured in cycles per...Ch. 11.3 - The yearly salary for job A is $60,000 initially...Ch. 11.3 - Prob. 102PECh. 11.3 - If a fair coin is flipped n times, the number of...Ch. 11.3 - Prob. 104PECh. 11.3 - Prob. 105PECh. 11.3 - Explain why a finite number of terms is not...Ch. 11.3 - Prob. 107PECh. 11.3 - Show that x,x+2,x+4,x+6, is not a geometric...Ch. 11.3 - Prob. 109PECh. 11.3 - If a1,a2,a3, is an geometric sequence with common...Ch. 11.3 - Suppose that a1,a2,a3, is an arithmetic sequence...Ch. 11.3 - Prob. 112PECh. 11.3 - Determine whether the sequence ln1,ln2,ln4,ln8, is...Ch. 11.3 - For Exercises 1-10, determine if the nth term of...Ch. 11.3 - For Exercises 1-10, determine if the nth term of...Ch. 11.3 - For Exercises 1-10, determine if the nth term of...Ch. 11.3 - Prob. 4PRECh. 11.3 - For Exercises 1-10, determine if the nth term of...Ch. 11.3 - For Exercises 1-10, determine if the nth term of...Ch. 11.3 - For Exercises 1-10, determine if the nth term of...Ch. 11.3 - Prob. 8PRECh. 11.3 - Prob. 9PRECh. 11.3 - Prob. 10PRECh. 11.3 - Prob. 11PRECh. 11.3 - Prob. 12PRECh. 11.3 - For Exercises 11-28, evaluate the sum if possible....Ch. 11.3 - Prob. 14PRECh. 11.3 - Prob. 15PRECh. 11.3 - Prob. 16PRECh. 11.3 - Prob. 17PRECh. 11.3 - For Exercises 11-28, evaluate the sum if possible....Ch. 11.3 - For Exercises 11-28, evaluate the sum if possible....Ch. 11.3 - Prob. 20PRECh. 11.3 - Prob. 21PRECh. 11.3 - Prob. 22PRECh. 11.3 - Prob. 23PRECh. 11.3 - Prob. 24PRECh. 11.3 - For Exercises 11-28, evaluate the sum if possible....Ch. 11.3 - Prob. 26PRECh. 11.3 - Prob. 27PRECh. 11.3 - For Exercises 11-28, evaluate the sum if possible....Ch. 11.4 - Use mathematical induction to prove...Ch. 11.4 - Prob. 2SPCh. 11.4 - Prob. 3SPCh. 11.4 - Prob. 4SPCh. 11.4 - Let Pn be a statement involving the positive...Ch. 11.4 - The statement that Pk is true is called the ...Ch. 11.4 - Prob. 3PECh. 11.4 - For Exercises 3-16, use mathematical induction to...Ch. 11.4 - Prob. 5PECh. 11.4 - Prob. 6PECh. 11.4 - Prob. 7PECh. 11.4 - Prob. 8PECh. 11.4 - Prob. 9PECh. 11.4 - Prob. 10PECh. 11.4 - Prob. 11PECh. 11.4 - For Exercises 3-16, use mathematical induction to...Ch. 11.4 - Prob. 13PECh. 11.4 - Prob. 14PECh. 11.4 - Prob. 15PECh. 11.4 - Prob. 16PECh. 11.4 - For Exercises 17-24, use mathematical induction to...Ch. 11.4 - Prob. 18PECh. 11.4 - Prob. 19PECh. 11.4 - Prob. 20PECh. 11.4 - Prob. 21PECh. 11.4 - Prob. 22PECh. 11.4 - For Exercises 17-24, use mathematical induction to...Ch. 11.4 - Prob. 24PECh. 11.4 - Prob. 25PECh. 11.4 - Prob. 26PECh. 11.4 - Prob. 27PECh. 11.4 - Prob. 28PECh. 11.4 - Prob. 29PECh. 11.4 - Prob. 30PECh. 11.4 - For Exercises 29-32, use mathematical induction to...Ch. 11.4 - Prob. 32PECh. 11.4 - For Exercises 33-36, use mathematical induction to...Ch. 11.4 - For Exercises 33-36, use mathematical induction to...Ch. 11.4 - For Exercises 33-36, use mathematical induction to...Ch. 11.4 - For Exercises 33-36, use mathematical induction to...Ch. 11.4 - Prob. 37PECh. 11.4 - Prob. 38PECh. 11.4 - Prob. 39PECh. 11.4 - Prob. 40PECh. 11.4 - Prob. 41PECh. 11.4 - Prob. 42PECh. 11.4 - Exercises 43-44, use the Fibonacci sequence...Ch. 11.4 - Exercises 43-44, use the Fibonacci sequence...Ch. 11.5 - Expand. a+b7Ch. 11.5 - Prob. 2SPCh. 11.5 - Expand by using the binomial theorem. 4y+54Ch. 11.5 - Prob. 4SPCh. 11.5 - Find the seventh term of 3c+d59 .Ch. 11.5 - The expression a3+3a2b+3ab2+b3 is called the...Ch. 11.5 - Prob. 2PECh. 11.5 - Consider a+bn , where n is a whole number. What is...Ch. 11.5 - Consider a+bn , where n is a whole number. The...Ch. 11.5 - For positive integers n and kkn+ , the kth term of...Ch. 11.5 - Given a+b17 , the 12th term is given by ab .Ch. 11.5 - Prob. 7PECh. 11.5 - a. Write the first four rows of Pascal’s...Ch. 11.5 - Prob. 9PECh. 11.5 - For Exercises 9-10, evaluate the given...Ch. 11.5 - For Exercises 11-14, evaluate the expression. 133Ch. 11.5 - For Exercises 11-14, evaluate the expression. 1715Ch. 11.5 - For Exercises 11-14, evaluate the expression. 115Ch. 11.5 - Prob. 14PECh. 11.5 - For Exercises 15-28, expand the binomial by using...Ch. 11.5 - Prob. 16PECh. 11.5 - For Exercises 15-28, expand the binomial by using...Ch. 11.5 - Prob. 18PECh. 11.5 - Prob. 19PECh. 11.5 - For Exercises 15-28, expand the binomial by using...Ch. 11.5 - Prob. 21PECh. 11.5 - Prob. 22PECh. 11.5 - For Exercises 15-28, expand the binomial by using...Ch. 11.5 - Prob. 24PECh. 11.5 - For Exercises 15-28, expand the binomial by using...Ch. 11.5 - Prob. 26PECh. 11.5 - Prob. 27PECh. 11.5 - Prob. 28PECh. 11.5 - Prob. 29PECh. 11.5 - For Exorcises 29-40, find the indicated term of...Ch. 11.5 - For Exorcises 29-40, find the indicated term of...Ch. 11.5 - Prob. 32PECh. 11.5 - For Exorcises 29-40, find the indicated term of...Ch. 11.5 - For Exorcises 29-40, find the indicated term of...Ch. 11.5 - For Exorcises 29-40, find the indicated term of...Ch. 11.5 - Prob. 36PECh. 11.5 - Prob. 37PECh. 11.5 - Prob. 38PECh. 11.5 - Prob. 39PECh. 11.5 - Prob. 40PECh. 11.5 - Expand exex4 .Ch. 11.5 - Prob. 42PECh. 11.5 - Prob. 43PECh. 11.5 - Prob. 44PECh. 11.5 - Prob. 45PECh. 11.5 - Prob. 46PECh. 11.5 - Simplify. x+y3xy3Ch. 11.5 - Prob. 48PECh. 11.5 - Prob. 49PECh. 11.5 - Prob. 50PECh. 11.5 - For Exercises 49-52, simplify the difference...Ch. 11.5 - For Exercises 49-52, simplify the difference...Ch. 11.5 - For Exercises 53-56, use the binomial theorem to...Ch. 11.5 - Prob. 54PECh. 11.5 - Prob. 55PECh. 11.5 - Prob. 56PECh. 11.5 - Prob. 57PECh. 11.5 - Prob. 58PECh. 11.5 - a. Write the sequence corresponding to the sum of...Ch. 11.5 - Prob. 60PECh. 11.5 - Prob. 61PECh. 11.5 - Prob. 62PECh. 11.5 - Prob. 63PECh. 11.5 - Prob. 64PECh. 11.5 - Prob. 65PECh. 11.5 - Using techniques from calculus, we can show that...Ch. 11.6 - A pizza can be made from either thick or thin...Ch. 11.6 - A code for an alarm system is made up of two...Ch. 11.6 - A quiz has four true/false questions and six...Ch. 11.6 - a. In how many ways can 7 different books be...Ch. 11.6 - Determine the number of ways that 2 students from...Ch. 11.6 - A judge at the County Fair must give blue, red,...Ch. 11.6 - Suppose that 20 people enter a raffle. a. In how...Ch. 11.6 - The California lottery game “Fantasy 5 �...Ch. 11.6 - The coach of a co-ed softball team must select 4...Ch. 11.6 - The fundamental of indicates that if one event...Ch. 11.6 - If n items are arranged in order, then each...Ch. 11.6 - The number of ways that n distinguishable items...Ch. 11.6 - Consider a set of n elements of which one element...Ch. 11.6 - Suppose that n represents the number of distinct...Ch. 11.6 - Suppose that n represents the number of elements...Ch. 11.6 - The number of permutations of n elements taken r...Ch. 11.6 - The number of combinations of n elements taken r...Ch. 11.6 - For Exercises 9-14, consider the set of integers...Ch. 11.6 - For Exercises 9-14, consider the set of integers...Ch. 11.6 - For Exercises 9-14, consider the set of integers...Ch. 11.6 - For Exercises 9-14, consider the set of integers...Ch. 11.6 - For Exercises 9-14, consider the set of integers...Ch. 11.6 - For Exercises 9-14, consider the set of integers...Ch. 11.6 - Prob. 15PECh. 11.6 - Debbie travels several times a year for her job....Ch. 11.6 - A license plate has 3 letters followed by 3...Ch. 11.6 - A security company requires its employees to have...Ch. 11.6 - The call letters for a radio station must begin...Ch. 11.6 - An employee identification code for a hospital...Ch. 11.6 - An online survey is used to monitor customer...Ch. 11.6 - A test consists of 3 multiple-choice questions,...Ch. 11.6 - On a computer, 1 bit is a single binary digit and...Ch. 11.6 - Older models of garage door remote controls have a...Ch. 11.6 - a. In how many ways can the letters in the word...Ch. 11.6 - a. In how many ways can the letters in the word...Ch. 11.6 - In how many ways can the word WRONG be misspelled?Ch. 11.6 - In how many ways can the word EXACTLY be...Ch. 11.6 - A delivery truck must make 4 stops at locations...Ch. 11.6 - In how many ways can 6 people in a family be lined...Ch. 11.6 - For Exercises 31-36, evaluate nPr . 6P4Ch. 11.6 - For Exercises 31-36, evaluate nPr . 8P5Ch. 11.6 - For Exercises 31-36, evaluate nPr . 12P2Ch. 11.6 - For Exercises 31-36, evaluate nPr . 11P3Ch. 11.6 - For Exercises 31-36, evaluate nPr . 9P9Ch. 11.6 - For Exercises 31-36, evaluate nPr . 5P5Ch. 11.6 - Evaluate 20P3 and interpret its meaning.Ch. 11.6 - Evaluate 15P6 and interpret its meaning.Ch. 11.6 - Prob. 39PECh. 11.6 - For Exercises 39-44, evaluate nCr . 8C5Ch. 11.6 - For Exercises 39-44, evaluate nCr . 12C2Ch. 11.6 - Prob. 42PECh. 11.6 - Prob. 43PECh. 11.6 - For Exercises 39-44, evaluate nCr . 5C5Ch. 11.6 - Evaluate 20C3 and interpret its meaning.Ch. 11.6 - Evaluate 15C6 and interpret its meaning.Ch. 11.6 - Given A,B,C , a. List all the permutations of two...Ch. 11.6 - Given W,X,Y,Z , a. List all the permutations of...Ch. 11.6 - Suppose that 9 horses run a race. How many first-,...Ch. 11.6 - In how many ways can a judge award blue, red, and...Ch. 11.6 - a. In a drama class, 5 students are to be selected...Ch. 11.6 - a. There are 100 members of the U.S. Senate....Ch. 11.6 - A chess tournament has 16 players. Every player...Ch. 11.6 - Suppose that a tennis tournament has 64 players....Ch. 11.6 - In the Minnesota Lotto game “Gopher 5 � a...Ch. 11.6 - In the New York state lottery game “Lotto� a...Ch. 11.6 - At a ballroom dance lesson, the instructor chooses...Ch. 11.6 - A committee of 4 men and 4 women is to be made...Ch. 11.6 - In a “Pick-4 � game, a player wins a prize for...Ch. 11.6 - In a “Numbers� game, a player wins a prize for...Ch. 11.6 - Liza is a basketball coach and must select 5...Ch. 11.6 - Jean has a list of 8 books that she knows she must...Ch. 11.6 - In how many ways can a manager assign 5 employees...Ch. 11.6 - In how many ways can a class of 12 kindergarten...Ch. 11.6 - Twenty batteries have been sitting in a drawer for...Ch. 11.6 - There are 30 seeds in a package. Five seeds are...Ch. 11.6 - A “combination� lock is opened by correctly...Ch. 11.6 - A palindrome is an arrangement of letters that...Ch. 11.6 - A line segment connecting any two nonadjacent...Ch. 11.6 - A line segment connecting any two nonadjacent...Ch. 11.6 - A line segment connecting any two nonadjacent...Ch. 11.6 - A line segment connecting any two nonadjacent...Ch. 11.6 - For Exercises 73-78, consider the set of numbers...Ch. 11.6 - For Exercises 73-78, consider the set of numbers...Ch. 11.6 - For Exercises 73-78, consider the set of numbers...Ch. 11.6 - For Exercises 73-78, consider the set of numbers...Ch. 11.6 - For Exercises 73-78, consider the set of numbers...Ch. 11.6 - For Exercises 73-78, consider the set of numbers...Ch. 11.6 - In Exercise 103 from Section 11.3 , we learned...Ch. 11.6 - Social Security numbers assigned in the United...Ch. 11.6 - Airlines often oversell seats on an airplane. This...Ch. 11.6 - In how many ways can a platoon leader select 4...Ch. 11.6 - A car can comfortably hold a family of five. If...Ch. 11.6 - A television station must play twelve 30-sec...Ch. 11.6 - Consider a horse race with 8 horses. Explain how...Ch. 11.6 - Explain why the number of combinations of n items...Ch. 11.6 - Three biology books, 4 math books, and 2 physics...Ch. 11.6 - A softball team has 9 players consisting of 3...Ch. 11.7 - A sock drawer has 6 blue socks, 2 white socks, and...Ch. 11.7 - On a given spin of an American roulette wheel,...Ch. 11.7 - Suppose that two dice are rolled. Determine the...Ch. 11.7 - Suppose that a committee of three people is to be...Ch. 11.7 - Suppose that of approximately 4,224,100...Ch. 11.7 - Suppose that one card is drawn at random from a...Ch. 11.7 - Refer to the data given in Example 7 . If one...Ch. 11.7 - Suppose that a family plans to have five children....Ch. 11.7 - Suppose the probability that a person will catch a...Ch. 11.7 - The of an experiment is the set of all possible...Ch. 11.7 - An is a subset of the sample space of an...Ch. 11.7 - If PE=0 , then E is called an event. If PE=1 ,...Ch. 11.7 - The notation E represents the of event E ....Ch. 11.7 - Two events in a sample space are if they do not...Ch. 11.7 - If two events A and B are not mutually exclusive,...Ch. 11.7 - If two events A and B are mutually exclusive, then...Ch. 11.7 - For two independent events A and B,PAandB= .Ch. 11.7 - Which of the values can represent the probability...Ch. 11.7 - Which of the values can represent the probability...Ch. 11.7 - For Exercises 11-16, match the probability with a...Ch. 11.7 - For Exercises 11-16, match the probability with a...Ch. 11.7 - For Exercises 11-16, match the probability with a...Ch. 11.7 - For Exercises 11-16, match the probability with a...Ch. 11.7 - For Exercises 11-16, match the probability with a...Ch. 11.7 - For Exercises 11-16, match the probability with a...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - For Exercises 17-24, consider an experiment where...Ch. 11.7 - A course in early civilization has 6 freshmen, 8...Ch. 11.7 - Suppose that a box contains 4 chocolate chip...Ch. 11.7 - For Exercises 27-28, consider an American roulette...Ch. 11.7 - For Exercises 27-28, consider an American roulette...Ch. 11.7 - If PE=0.842 , what is the value of PE ?Ch. 11.7 - If PE=0.431 , what is the value of PA ?Ch. 11.7 - According to the Centers for Disease Control, the...Ch. 11.7 - A baseball player with a batting average of 0.291...Ch. 11.7 - For Exercises 33-36, consider the sample space...Ch. 11.7 - For Exercises 33-36, consider the sample space...Ch. 11.7 - For Exercises 33-36, consider the sample space...Ch. 11.7 - For Exercises 33-36, consider the sample space...Ch. 11.7 - After a nationally televised trial, a poll of...Ch. 11.7 - If a couple plans to have three children, the...Ch. 11.7 - Suppose that a jury pool consists of 18 women and...Ch. 11.7 - Suppose that 20 good batteries and 6 defective...Ch. 11.7 - In the Illinois state lottery game “Little...Ch. 11.7 - In the New York state lottery game “Lotto,� a...Ch. 11.7 - Scientist Gregor Mendel (1822-1884) is often...Ch. 11.7 - Scientist Gregor Mendel (1822-1884) is often...Ch. 11.7 - At a hospital specializing in treating heart...Ch. 11.7 - China has the largest population of any country...Ch. 11.7 - For a certain district, a random sample of...Ch. 11.7 - The final exam grades for a sample of students in...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 49-58, consider the sample space for...Ch. 11.7 - For Exercises 59-66, use the data in the table...Ch. 11.7 - For Exercises 59-66, use the data in the table...Ch. 11.7 - For Exercises 59-66, use the data in the table...Ch. 11.7 - For Exercises 59-66, use the data in the table...Ch. 11.7 - For Exercises 59-66, use the data in the table...Ch. 11.7 - Prob. 64PECh. 11.7 - Prob. 65PECh. 11.7 - Prob. 66PECh. 11.7 - Prob. 67PECh. 11.7 - If a code for an alarm is a 4-digit sequence,...Ch. 11.7 - Prob. 69PECh. 11.7 - Prob. 70PECh. 11.7 - In the 2010 Wimbledon Championships, John Isner...Ch. 11.7 - Prob. 72PECh. 11.7 - Prob. 73PECh. 11.7 - A quiz has 6 multiple-choice questions and each...Ch. 11.7 - The blood type of an individual is classified...Ch. 11.7 - Prob. 76PECh. 11.7 - Prob. 77PECh. 11.7 - Prob. 78PECh. 11.7 - Prob. 79PECh. 11.7 - Prob. 80PECh. 11.7 - Prob. 81PECh. 11.7 - Prob. 82PECh. 11.7 - A slot machine in a casino has three wheels that...Ch. 11.7 - Prob. 84PECh. 11.7 - Prob. 85PECh. 11.7 - For Exercises 86-88, a. Shade the area bounded by...Ch. 11.7 - Prob. 87PECh. 11.7 - Prob. 88PECh. 11.7 - Prob. 89PECh. 11.7 - Prob. 90PECh. 11.7 - Prob. 91PECh. 11.7 - Prob. 92PECh. 11.7 - Suppose that a box of DVDs contains 10 action...Ch. 11.7 - Prob. 94PECh. 11.7 - Prob. 95PECh. 11.7 - Prob. 96PECh. 11 - For Exercises 1-2, simplify the expression. 8!3!5!Ch. 11 - Prob. 2RECh. 11 - For Exercises 3-4, write the first five terms of...Ch. 11 - For Exercises 3-4, write the first five terms of...Ch. 11 - Given the sequence defined by bn=1n1n , which...Ch. 11 - Given bn=n+43n , find b45 .Ch. 11 - a. Write the first five terms of the sequence...Ch. 11 - Write the sum 443+4547+ using summation notation...Ch. 11 - For Exercises 9-11, find the sum. i=382iCh. 11 - For Exercises 9-11, find the sum. i=13410Ch. 11 - For Exercises 9-11, find the sum. i=1601i+1Ch. 11 - Write an expression for the apparent nth term an...Ch. 11 - For Exercises 13-14, write the sum using summation...Ch. 11 - Prob. 14RECh. 11 - Rewrite the series as an equivalent series with...Ch. 11 - Determine if the statement is true or false....Ch. 11 - Suppose that a single cell of bacteria divides...Ch. 11 - For Exercises 18-20, determine whether the...Ch. 11 - For Exercises 18-20, determine whether the...Ch. 11 - For Exercises 18-20, determine whether the...Ch. 11 - Determine the first five terms of the arithmetic...Ch. 11 - a. Write an expression for the nth term of the...Ch. 11 - Find the 23rd term of an arithmetic sequence with...Ch. 11 - Given an arithmetic sequence with a15=86 and...Ch. 11 - Find the number of terms of the arithmetic...Ch. 11 - A sales person working for a heating and...Ch. 11 - Find the sum of the first 35 terms of the...Ch. 11 - For Exercises 28-30, find the sum. 3+10+17+24++437Ch. 11 - For Exercises 28-30, find the sum. n=13625nCh. 11 - For Exercises 28-30, find the sum. i=1685+12iCh. 11 - How long will it take to pay off a debt of 3960 if...Ch. 11 - For Exercises 32-34, determine whether the...Ch. 11 - For Exercises 32-34, determine whether the...Ch. 11 - For Exercises 32-34, determine whether the...Ch. 11 - Write the first five terms of a geometric sequence...Ch. 11 - Write a formula for the nth term of the geometric...Ch. 11 - For Exercises 37-39, find the indicated term of a...Ch. 11 - For Exercises 37-39, find the indicated term of a...Ch. 11 - For Exercises 37-39, find the indicated term of a...Ch. 11 - Find a1 and r for a geometric sequence given that...Ch. 11 - For Exercises 41-46, find the sum of the geometric...Ch. 11 - For Exercises 41-46, find the sum of the geometric...Ch. 11 - For Exercises 41-46, find the sum of the geometric...Ch. 11 - For Exercises 41-46, find the sum of the geometric...Ch. 11 - For Exercises 41-46, find the sum of the geometric...Ch. 11 - For Exercises 41-46, find the sum of the geometric...Ch. 11 - Write 0.87 as a fraction.Ch. 11 - An estimated 150,000 people attended the Coconut...Ch. 11 - For Exercise 49-50, find the value of an ordinary...Ch. 11 - For Exercise 49-50, find the value of an ordinary...Ch. 11 - a. At age 28 , an employee begins investing 100...Ch. 11 - Prob. 52RECh. 11 - For Exercises 53-56, use mathematical induction to...Ch. 11 - For Exercises 53-56, use mathematical induction to...Ch. 11 - For Exercises 53-56, use mathematical induction to...Ch. 11 - For Exercises 53-56, use mathematical induction to...Ch. 11 - Use mathematical induction to show that 4nn+2! for...Ch. 11 - Prob. 58RECh. 11 - Evaluate the given expression. Compare the results...Ch. 11 - For Exercises 60-64, expand the binomial by using...Ch. 11 - For Exercises 60-64, expand the binomial by using...Ch. 11 - For Exercises 60-64, expand the binomial by using...Ch. 11 - For Exercises 60-64, expand the binomial by using...Ch. 11 - For Exercises 60-64, expand the binomial by using...Ch. 11 - For Exercises 65-67, find the indicated term of...Ch. 11 - For Exercises 65-67, find the indicated term of...Ch. 11 - For Exercises 65-67, find the indicated term of...Ch. 11 - Given fx=4x3+2x , find the difference quotient.Ch. 11 - Use the binomial theorem to find the value of...Ch. 11 - Gaynelle can travel one of 3 roads from her home...Ch. 11 - A disc jockey has 7 songs that he must play in a...Ch. 11 - In how many ways can the letters in the word...Ch. 11 - In how many ways can the word SPACE be misspelled?Ch. 11 - A quiz consists of 6 true/false questions and 4...Ch. 11 - A 3-digit code is to be made from the set of...Ch. 11 - Evaluate 21P4 and interpret its meaning.Ch. 11 - Evaluate 24C4 and interpret its meaning.Ch. 11 - Evaluate 10P3 and 10C3 and compare the results.Ch. 11 - In how many ways can a statistician select a...Ch. 11 - How many triangles can be made if the vertices are...Ch. 11 - The Daytona 500 auto race has 40 cars that...Ch. 11 - Suppose that a drama class has 22 students. a. In...Ch. 11 - To meet the graduation requirements, a student...Ch. 11 - Which of the following can represent the...Ch. 11 - If the probability of an event is 0.0042 , is the...Ch. 11 - If the probability of an event is 8790 , is the...Ch. 11 - If PE=0.73 , what is the probability of PE ?Ch. 11 - Suppose that a box containing music CDs has 4 with...Ch. 11 - Suppose that two fair dice are rolled. Determine...Ch. 11 - For a recent season, the batting average for...Ch. 11 - Suppose that 15 lightbulbs are in a cabinet and...Ch. 11 - Suppose that a lottery game has the player select...Ch. 11 - For a recent year, the Centers for Disease Control...Ch. 11 - For Exercises 94-99, use the data in the table...Ch. 11 - For Exercises 94-99, use the data in the table...Ch. 11 - For Exercises 94-99, use the data in the table...Ch. 11 - For Exercises 94-99, use the data in the table...Ch. 11 - For Exercises 94-99, use the data in the table...Ch. 11 - For Exercises 94-99, use the data in the table...Ch. 11 - For Exercises 100-103, refer to the sample space...Ch. 11 - For Exercises 100-103, refer to the sample space...Ch. 11 - For Exercises 100-103, refer to the sample space...Ch. 11 - For Exercises 100-103, refer to the sample space...Ch. 11 - Write the first six terms of the sequence defined...Ch. 11 - Simplify. 3n+1!3n1!Ch. 11 - For Exercises 3-5, a. Determine whether the...Ch. 11 - For Exercises 3-5, a. Determine whether the...Ch. 11 - For Exercises 3-5, a. Determine whether the...Ch. 11 - Write the first four terms of the geometric...Ch. 11 - Write the first five terms of the arithmetic...Ch. 11 - Find the 78th term of an arithmetic sequence with...Ch. 11 - Find the 6th term of an arithmetic sequence with...Ch. 11 - Find the number of terms in the arithmetic...Ch. 11 - Find the number of terms in the geometric...Ch. 11 - Given an arithmetic sequence with a12=21 and...Ch. 11 - Given an arithmetic sequence with a3=20 and a8=640...Ch. 11 - For Exercises 14-18, evaluate the sum if possible....Ch. 11 - For Exercises 14-18, evaluate the sum if possible....Ch. 11 - For Exercises 14-18, evaluate the sum if possible....Ch. 11 - For Exercises 14-18, evaluate the sum if possible....Ch. 11 - For Exercises 14-18, evaluate the sum if possible....Ch. 11 - Suppose that a county fair has an estimated 50,000...Ch. 11 - An employee invests 400 per month in an ordinary...Ch. 11 - Lakeisha wants to put down new tile in her home....Ch. 11 - How many days will it take Johan to read a 920...Ch. 11 - For Exercises 23-25, use mathematical induction to...Ch. 11 - For Exercises 23-25, use mathematical induction to...Ch. 11 - For Exercises 23-25, use mathematical induction to...Ch. 11 - For Exercises 26-27, expand the binomial by using...Ch. 11 - For Exercises 26-27, expand the binomial by using...Ch. 11 - For Exercises 28-29, find the indicated term of...Ch. 11 - For Exercises 28-29, find the indicated term of...Ch. 11 - Evaluate 13P5 and 13C5 .Ch. 11 - Explain the difference between a permutation and a...Ch. 11 - A musician plans to perform 9 selections. In how...Ch. 11 - How many outfits can be made from 4 pairs of...Ch. 11 - In how many ways can the word HIPPOPOTAMUS be...Ch. 11 - Suppose that a jury pool consists of 30 women and...Ch. 11 - A review sheet for a history test has 10 essay...Ch. 11 - After a service call by a plumber, the company...Ch. 11 - Suppose that 50 people buy raffle tickets. a. In...Ch. 11 - For a recent year, approximately 36,000 people...Ch. 11 - A cable company advertises short wait times for...Ch. 11 - If two fair dice are thrown, find the probability...Ch. 11 - Suppose that two cards are drawn from a standard...Ch. 11 - For a recent year, 31.9 of Americans living below...Ch. 11 - For Exercises 44-47, use the data in the table...Ch. 11 - For Exercises 44-47, use the data in the table...Ch. 11 - For Exercises 44-47, use the data in the table...Ch. 11 - For Exercises 44-47, use the data in the table...Ch. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - Prob. 3CRECh. 11 - Prob. 4CRECh. 11 - a. Write an expression for the distance between t...Ch. 11 - Simplify without using a calculator....Ch. 11 - For Exercises 7-10, simplify the expression. 274/3Ch. 11 - For Exercises 7-10, simplify the expression....Ch. 11 - For Exercises 7-10, simplify the expression....Ch. 11 - For Exercises 7-10, simplify the expression. i127Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - For Exercises 11-18, solve the equation or...Ch. 11 - Given fx=2x35x228x+15 , a. Find all the zeros of...Ch. 11 - An object is launched from a height of 4ft at an...Ch. 11 - Solve the triangle with sides of length...Ch. 11 - For Exercises 22-25, graph the equation. y29x216=1Ch. 11 - For Exercises 22-25, graph the equation....Ch. 11 - For Exercises 22-25, graph the equation. y=log2x+3Ch. 11 - For Exercises 22-25, graph the equation....Ch. 11 - Explain how the graph of fx=2x1+3 is related to...Ch. 11 - Prob. 27CRECh. 11 - Given gx=5x1 , a. Is g a one-to-one function? b....Ch. 11 - Given fx=x3x27x+15 , a. Is 2+i a zero of fx ? b....Ch. 11 - Given rx=3x2+2x25x14 , a. Determine the vertical...Ch. 11 - The population of a city was 320,000 in the year...Ch. 11 - Write the expression in terms of logx,logy , and...Ch. 11 - Simplify. log2116Ch. 11 - Given 43,4 in rectangular coordinates, find two...Ch. 11 - For Exercises 35-37, solve the system of...Ch. 11 - For Exercises 35-37, solve the system of...Ch. 11 - For Exercises 35-37, solve the system of...Ch. 11 - Use Gaussian elimination or Gauss-Jordan...Ch. 11 - Use Cramer's rule to solve the system....Ch. 11 - Graph the solution set. x2+y216yx2+4Ch. 11 - For Exercises 41-46, refer to the matrices given...Ch. 11 - For Exercises 41-46, refer to the matrices given...Ch. 11 - For Exercises 41-46, refer to the matrices given...Ch. 11 - For Exercises 41-46, refer to the matrices given...Ch. 11 - For Exercises 41-46, refer to the matrices given...Ch. 11 - For Exercises 41-46, refer to the matrices given...Ch. 11 - Given A=121013102 , find A1 .Ch. 11 - Use the inverse matrix from Exercise 47 to solve...Ch. 11 - Given y+22=8x1 , a. Determine the vertex of the...Ch. 11 - Determine whether the sequence is arithmetic or...Ch. 11 - Find the 500th term of an arithmetic sequence with...Ch. 11 - For Exercises 52-53, find the sum. k=1745k+3Ch. 11 - For Exercises 52-53, find the sum. i=1862i1Ch. 11 - Find the sum if possible. 6+2+23+29+Ch. 11 - Evaluate the expressions. a. 8! b. 1211 c. 15P3Ch. 11 - Expand the binomial. 3xy25Ch. 11 - Simplify. 3n1!2!3n+1!Ch. 11 - In how many ways can 5 children be arranged in a...Ch. 11 - Suppose that four people are to be randomly...Ch. 11 - If one card is selected from a standard deck of...
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1arrow_forwardThe viruses causing problems in strawberry plants are mainly spread by one insect, the strawberry aphid. Carly believes that as aphids feed on leaves, they transmit viruses that can cause a rapid decrease in plant growth. She decides to verify whether or not the number of strawberry aphids found on a plant could be linked to its growth. She therefore randomly chooses 5 strawberry plants at the same stage of development in a virus-infested garden. For each individual plant, she first collects all the aphids present on the plant and weighs them, and then weighs the entire plant to have a measure of plant growth. She obtains the following data. (Attach on side) Is Carly correct in thinking that when the number of aphids on a plant is larger, the growth of the plant is affected (i.e., its weight is smaller)? Apply the appropriate statistical method with a test of significance at α = 0.05.arrow_forwardThe coat color of black bears depends on a gene with two alleles. Allele B is dominant and confers black coat, whereas allele b is recessive and homozygous bears have white coats (albino black bears, I know it sounds weird but it is true). As we know from genetics each bear has two alleles and the coat colors are as follows: BB-black; Bb-black; bb-white. A researcher obtained the following data for the genotypes (BB, Bb or bb) of black bears: Genotype Number of bears BB 42 Bb 24 bb 21 You are performing the following hypothesis test: H0: The genotypes of the bears follow a binomial distribution, with a probability of receiving the b allele equal to the observed proportion of the b allele in the population. HA: The genotypes of the bears do not follow a binomial distribution What is the expected frequency of bears with genotype BB, Bb, and bb? Give the absolute expected frequency (number of bears) not the fraction/proportion of BB bearsarrow_forward
- The coat color of black bears depends on a gene with two alleles. Allele B is dominant and confers black coat, whereas allele b is recessive and homozygous bears have white coats (albino black bears, I know it sounds weird but it is true). As we know from genetics each bear has two alleles and the coat colors are as follows: BB-black; Bb-black; bb-white. A researcher obtained the following data for the genotypes (BB, Bb or bb) of black bears: Genotype Number of bears BB 42 Bb 24 bb 21 You are performing the following hypothesis test: H0: The genotypes of the bears follow a binomial distribution, with a probability of receiving the b allele equal to the observed proportion of the b allele in the population. HA: The genotypes of the bears do not follow a binomial distribution Q1 What is the fraction of b alleles in the population? Remember each bear has two alleles! Q2 What is the expected frequency of bears with genotype BB, Bb, and bb? Give the absolute expected…arrow_forwardIn an experiment examining human memory, two groups of participants are used. One group is allowed 5 minutes to study a list of 40 words and the second group is given 10 minutes of study time for the same list of words. Then, both groups are given a memory test, and the researcher records the number of words correctly recalled by each participant. For this experiment, identify the independent variable and the dependent variable.arrow_forwardYou have crossed pea plants that are homozygous recessive for two traits: flower color and pea shape - white flowers and wrinkled peas with a pea plant that is heterozygous for both traits, and therefore expressing purple flowers and round seeds. Pis purple flowers, and pis white flowers. R is round seeds, and r is wrinkled seeds. So your cross is pprr X PpRr. If the genes are unlinked, and undergoing independent assortment, you would expect to see a type of problem is available as a narrated power point in the resources page of this module. 1:1 ratio of plants with both dominant traits and plants with both recessive traits in the offspring "Hint - review FOIL method to resolve possible gametes. A walkthrough of this 9:3:3:1 ratio of plants with purple flowers and round seeds, plants with purple flowers and wrinkled seeds, plants with white flowers and round seeds, and plants with white flowers and wrinkled seeds O1:1:1:1 ratio of plants with purple flowers and round seeds, plants with…arrow_forward
- Example 2.9 Suppose that a particular trait of a person (such as eye color or left handedness) is classified on the basis of one pair of genes and suppose that d represents a dominant gene and r a recessive gene. Thus a person with dd genes is pure dominance, one with rr is pure recessive, and one with rd is hybrid. The pure dominance and the hybrid are alike in appearance. Chil- dren receive one gene from each parent. If, with respect to a particular trait, two hybrid parents have a total of four children, what is the probability that exactly three of the four children have the outward appearance of the dominant gene?arrow_forward3.Luijckx et al (2012) discovered that resistance to the bacterial parasite Pasteuria ramose is genetically variable in the common freshwater crustacean, Daphnia magna. To investigate the genetic basis of this variation, they crossed a completely resistant lineage to a completely susceptible lineage. All the F1 offspring were resistant. These offspring, when mature, were then crossed to each other to produce an F2 generation. If resistance is the result of only a single gene with two forms (alleles) then resistant and susceptible F offspring should occur in a 3:1 ratio. Of 71 F2’s tested, 57 were resistant and 14 were susceptible. a.With these data, calculate the range of most plausible-values for the proportion of resistant offspring. Does the plausible range include the proportion predicted if resistance is determined by a single gene? b.Give two other values for proportion that are also consistent with the data. c.Test the genetic hypothesis. Are the results compatible with the…arrow_forwardX-Linked Genetic Disease Men have XY (or YX) chromosomes and women have XX chromosomes. X-linked recessive genetic diseases (such as juvenile retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is good. In the following, represent a defective X chromosome with lowercase x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. a. If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a son will inherit the disease? b. If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a daughter will inherit the disease? c. If a mother has one defective x chromosome and one good X chromosome and the father has good XY chromosomes, what is the probability that a son will inherit the…arrow_forward
- A crop researcher investigated the phenotypes that resulted from crossing two different types of cucumber plants. There are 4 possible resulting phenotypes (numbered 1, 2, 3, 4 in the data table below). Mendel's laws of genetic inheritance ('the model') suggest that the proportions should be 9/16, 3/16, 3/16 and 1/16 for phenotypes 1, 2, 3, 4 respectively. The classification of a sample of 1400 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model) Give the degrees of freedom that would be used in a test of whether or not the crossing results in a population that follows Mendel's laws of inheritance. Degrees of freedom = The test is carried out at significance level α = 0.05 using the method described in the lecture notes. If the decision is to not reject the null hypothesis, what is the appropriate conclusion for the test? Select the appropriate conclusion from the list below. There is sufficient evidence at α = 0.05 that…arrow_forward3. Suppose that we have a factor that records the three possible answers of the respondents in a survey, Yes/No/Undecided. We would like to use this factor as one predictor to explain a response y . Consider the method of coding the factor as two indicator variables: 21 = 1 if answer = 0 if answer -1 if answer = Undecided = Yes, No, 22 = 0 if 1 if -1 if Yes, answer = answer = No, answer = Undecided and use a model of the form Yi = Bo + B₁z1i + B₂ Z2i + Ei For a model of this form, Calculate the E(y) for the respondents who answer Yes, No and Undecided respectively?arrow_forwardScenario: A researcher wants to study the effects of childhood stress, genetics, and their interaction for predicting aggression in adults. The researcher recruited 40 subjects, 20 reported they had no childhood stress and 20 reported they experienced severe childhood stress. The researcher is specifically interested in looking at the MAOA gene, because different versions of this gene are linked to aggression. The researcher conducts a genetic test and finds that half of subjects in each group have a gene for low MAOA activity and the other half have the gene for high MAOA activity. The researchers have the subjects self-rate their aggressive behavior over the last 6 months. 1. Given the scenario above, what are the null and alternative hypotheses? 2. Experimental design:a. What are the independent and dependent variables in this study? b. How many levels of each independent variable are there? c. What type of factorial ANOVA is this?arrow_forward
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