COLLEGE ALGEBRA CUSTOM TEXT WITH ALEKS 3
2nd Edition
ISBN: 9781260695335
Author: Miller
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.7, Problem 75PE
The blood type of an individual is classified according to the presence of certain antigens, substances that cause the immune system to produce antibodies. These antigens are denoted by A, 8, and Rh. If an individual's blood contains either the A or B antigen, these letters are listed in the blood type. If neither A nor B is present, then the teller 0 is used. U the Rh antigen is present, the blood is said to be Rh positive (Rh+): otherwise, the blood is Rh negative (Rh-). Under this system, a person with AB+ blood has all three antigens, and group O- is absent all three antigens.
The distribution of blood types for people living in the United States is given in the table. (Source: Stanford School of Medicine, http://bloodcenter.stanford.edu) Refer to the table for Exercises 75-82. Round to 3 decimal places when necessary.
| Type | Probability |
|---|---|
|
|
0.374 |
|
|
0.066 |
|
|
0.357 |
|
|
0.063 |
|
|
0.085 |
|
|
0.034 |
|
|
0.006 |
a. If an individual is randomly selected from the population. find the probability that the individual will have the Rh factor.
b. If three people are selected are random, find the probability that they all have the Rh factor.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
learn.edgenuity
: C&C VIP
Unit Test
Unit Test Review Active
1
2
3
4
Which statement is true about the graph of the equation y = csc¯¹(x)?
There is a horizontal asymptote at y = 0.
उद
There is a horizontal asymptote at y = 2.
There is a vertical asymptote at x = 0.
O There is a vertical asymptote at x=-
R
Mark this and return
C
Save and Exit
emi
ے ملزمة احمد
Q (a) Let f be a linear map from a space X into a space Y and (X1,X2,...,xn) basis for X, show that fis one-to-
one iff (f(x1),f(x2),...,f(x) } linearly independent.
(b) Let X= {ao+ax₁+a2x2+...+anxn, a;ER} be a vector space over R, write with prove a hyperspace and a
hyperplane of X.
مبر خد احمد
Q₂ (a) Let M be a subspace of a vector space X, and A= {fex/ f(x)=0, x E M ), show that whether A is
convex set or not, affine set or not.
Write with prove an
application of Hahn-Banach theorem.
Show that every singleton set in a normed space X is closed and any finite set in X is closed (14M)
Let M be a proper subspace of a finite dimension vector space X over a field F show that
whether: (1) If S is a base for M then S base for X or not, (2) If T base for X then base for M
or not.
(b) Let X-P₂(x) be a vector space over polynomials a field of real numbers R, write with L
prove convex subset of X and hyperspace of X.
Q₂/ (a) Let X-R³ be a vector space over a over a field of real numbers R and
A=((a,b,o), a,bE R), A is a subspace of X, let g be a function from A into R such that
gla,b,o)-a, gEA, find fe X such that g(t)=f(t), tEA.
(b) Let M be a non-empty subset of a space X, show that M is a hyperplane of X iff there
Xiff there
exists fE X/10) and tE F such that M=(xE X/ f(x)=t).
(c) Show that the relation equivalent is an equivalence relation on set of norms on a space
X.
Chapter 8 Solutions
COLLEGE ALGEBRA CUSTOM TEXT WITH ALEKS 3
Ch. 8.1 - Skill Practice Write the first four terms of the...Ch. 8.1 - Skill Practice
2. Write the first five terms of...Ch. 8.1 - Prob. 3SPCh. 8.1 - Prob. 4SPCh. 8.1 - Prob. 5SPCh. 8.1 - Prob. 6SPCh. 8.1 - Skill Practice Write each sum using summation...Ch. 8.1 - 1. An infinite ______________ is a function whose...Ch. 8.1 - 2. An _________ sequence is a sequence in which...Ch. 8.1 - Prob. 3PE
Ch. 8.1 - Prob. 4PECh. 8.1 - Prob. 5PECh. 8.1 - Prob. 6PECh. 8.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 8.1 - Prob. 8PECh. 8.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 8.1 - Prob. 10PECh. 8.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 8.1 - Prob. 12PECh. 8.1 - For Exercises 7-14, the nth term of a sequence is...Ch. 8.1 - Prob. 14PECh. 8.1 - If the n th term of a sequence is (1)nn2, which...Ch. 8.1 - Prob. 16PECh. 8.1 - For Exercises 17-20, the nth term of a sequence is...Ch. 8.1 - Prob. 18PECh. 8.1 - For Exercises 17-20, the n th term of a sequence...Ch. 8.1 - Prob. 20PECh. 8.1 - Prob. 21PECh. 8.1 - Prob. 22PECh. 8.1 - Prob. 23PECh. 8.1 - Prob. 24PECh. 8.1 - For Exercises 25-30, write the first five terms of...Ch. 8.1 - Prob. 26PECh. 8.1 - For Exercises 25-30, write the first five terms of...Ch. 8.1 - Prob. 28PECh. 8.1 - For Exercises 25-30, write the first five terms of...Ch. 8.1 - Prob. 30PECh. 8.1 - 31. a. Write the first 10 terms of the Fibonacci...Ch. 8.1 - Prob. 32PECh. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - Prob. 34PECh. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - Prob. 36PECh. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - Prob. 40PECh. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - Prob. 42PECh. 8.1 - For Exercises 33-44, evaluate the expression. (See...Ch. 8.1 - Prob. 44PECh. 8.1 - For Exercises 45-48, the n th term of a sequence...Ch. 8.1 - Prob. 46PECh. 8.1 - For Exercises 45-48, the n th term of a sequence...Ch. 8.1 - Prob. 48PECh. 8.1 - For Exercises 49-56, find the n th term an of a...Ch. 8.1 - Prob. 50PECh. 8.1 - For Exercises 49-56, find the n th term an of a...Ch. 8.1 - Prob. 52PECh. 8.1 - For Exercises 49-56, find the n th term an of a...Ch. 8.1 - Prob. 54PECh. 8.1 - For Exercises 49-56, find the n th term an of a...Ch. 8.1 - Prob. 56PECh. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - Prob. 58PECh. 8.1 - For Exercises 57-70, find the sum. (See Example...Ch. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - Prob. 62PECh. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - For Exercises 57-70, find the sum. (See Example...Ch. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - Prob. 66PECh. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - Prob. 68PECh. 8.1 - For Exercises 57-70, find the sum. (See Example...Ch. 8.1 - For Exercises 57-70, find the sum. (See Example 6)...Ch. 8.1 - a. Evaluate i=1n(1)i if n is even. b. Evaluate...Ch. 8.1 - Prob. 72PECh. 8.1 - Given the sequence defined by an=n22n, find the...Ch. 8.1 - 74. Given the sequence defined by , find the...Ch. 8.1 - For Exercises 75-86, write the sum using summation...Ch. 8.1 - Prob. 76PECh. 8.1 - For Exercises 75-86, write the sum using summation...Ch. 8.1 - Prob. 78PECh. 8.1 - For Exercises 75-86, write the sum using summation...Ch. 8.1 - Prob. 80PECh. 8.1 - For Exercises 75-86, write the sum using summation...Ch. 8.1 - Prob. 82PECh. 8.1 - For Exercises 75-86, write the sum using summation...Ch. 8.1 - Prob. 84PECh. 8.1 - For Exercises 75-86, write the sum using summation...Ch. 8.1 - Prob. 86PECh. 8.1 - Prob. 87PECh. 8.1 - Prob. 88PECh. 8.1 - 89. Prove that .
Ch. 8.1 - Prob. 90PECh. 8.1 - Prob. 91PECh. 8.1 - Prob. 92PECh. 8.1 - Prob. 93PECh. 8.1 - Prob. 94PECh. 8.1 - Prob. 95PECh. 8.1 - Prob. 96PECh. 8.1 - For Exercises 95–98, determine whether the...Ch. 8.1 - Prob. 98PECh. 8.1 - Prob. 99PECh. 8.1 - 100. A retirement account initially has $500,000...Ch. 8.1 - Prob. 101PECh. 8.1 - Prob. 102PECh. 8.1 - Prob. 103PECh. 8.1 - Prob. 104PECh. 8.1 - Prob. 105PECh. 8.1 - Prob. 106PECh. 8.1 - Prob. 107PECh. 8.1 - Prob. 108PECh. 8.1 - Prob. 109PECh. 8.1 - Prob. 110PECh. 8.1 - Prob. 111PECh. 8.1 - Prob. 112PECh. 8.1 - Prob. 113PECh. 8.1 - Prob. 114PECh. 8.1 - Prob. 115PECh. 8.1 - For Exercises 115-116, use a graphing utility to...Ch. 8.1 - Using calculus, we can show that the series...Ch. 8.1 - 118. Using calculus, we can show that the series ...Ch. 8.2 - Skill Practice
1. Determine whether the sequence...Ch. 8.2 - Prob. 2SPCh. 8.2 - Prob. 3SPCh. 8.2 - Prob. 4SPCh. 8.2 - Prob. 5SPCh. 8.2 - Prob. 6SPCh. 8.2 - Prob. 7SPCh. 8.2 - Prob. 8SPCh. 8.2 - Prob. 9SPCh. 8.2 - Prob. 1PECh. 8.2 - Prob. 2PECh. 8.2 - Prob. 3PECh. 8.2 - Prob. 4PECh. 8.2 - Prob. 5PECh. 8.2 - Prob. 6PECh. 8.2 - For Exercises 7-14, determine whether the sequence...Ch. 8.2 - Prob. 8PECh. 8.2 - For Exercises 7-14, determine whether the sequence...Ch. 8.2 - Prob. 10PECh. 8.2 - For Exercises 7-14, determine whether the sequence...Ch. 8.2 - Prob. 12PECh. 8.2 - For Exercises 7-14, determine whether the sequence...Ch. 8.2 - Prob. 14PECh. 8.2 - For Exercises 15-18,
a. Write the first five terms...Ch. 8.2 - Prob. 16PECh. 8.2 - For Exercises 15-18, a. Write the first five terms...Ch. 8.2 - Prob. 18PECh. 8.2 - For Exercises 19-24, a. Write a nonrecursive...Ch. 8.2 - Prob. 20PECh. 8.2 - For Exercises 19-24, a. Write a nonrecursive...Ch. 8.2 - Prob. 22PECh. 8.2 - For Exercises 19-24, a. Write a nonrecursive...Ch. 8.2 - Prob. 24PECh. 8.2 - 25. Jim has 8 unread emails in his inbox before...Ch. 8.2 - Prob. 26PECh. 8.2 - A new drug and alcohol rehabilitation program...Ch. 8.2 - Prob. 28PECh. 8.2 - Suppose that an object starts with an initial...Ch. 8.2 - Prob. 30PECh. 8.2 - Find the 8th term of an arithmetic sequence with...Ch. 8.2 - Prob. 32PECh. 8.2 - Find the 35th term of an arithmetic sequence with...Ch. 8.2 - Prob. 34PECh. 8.2 - For Exercises 35-38, find the number of terms of...Ch. 8.2 - Prob. 36PECh. 8.2 - For Exercises 35-38, find the number of terms of...Ch. 8.2 - For Exercises 35-38, find the number of terms of...Ch. 8.2 - 39. Given an arithmetic sequence with and , find ...Ch. 8.2 - Prob. 40PECh. 8.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 8.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 8.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 8.2 - Prob. 44PECh. 8.2 - For Exercises 41-46, two terms of an arithmetic...Ch. 8.2 - Prob. 46PECh. 8.2 - If the third and fourth terms of an arithmetic...Ch. 8.2 - Prob. 48PECh. 8.2 - For Exercises 49-50, find the sum. 4 + 7 + 10 + 13...Ch. 8.2 - Prob. 50PECh. 8.2 - Find the sum of the first 40 terms of the...Ch. 8.2 - Prob. 52PECh. 8.2 - Find the sum. 5+4.5+4+3.5++(30.5)Ch. 8.2 - Prob. 54PECh. 8.2 - For Exercises 55-64, find the sum. (See Example...Ch. 8.2 - For Exercises 55-64, find the sum. (See Example 8)...Ch. 8.2 - For Exercises 55-64, find the sum. (See Example...Ch. 8.2 - Prob. 58PECh. 8.2 - For Exercises 55-64, find the sum. (See Example...Ch. 8.2 - For Exercises 55-64, find the sum. (See Example 8)...Ch. 8.2 - Prob. 61PECh. 8.2 - Prob. 62PECh. 8.2 - Prob. 63PECh. 8.2 - Prob. 64PECh. 8.2 - 65. Suzanne must choose between two job offers....Ch. 8.2 - Prob. 66PECh. 8.2 - 67. An object in free fall is dropped from a tall...Ch. 8.2 - A ball rolling down an inclined plane rolls 4 in....Ch. 8.2 - The students at Prairiewood Elementary plan to...Ch. 8.2 - 70. A theater has 32 rows. The first row has 18...Ch. 8.2 - 71. Refer to the graph of the sequence...Ch. 8.2 - Prob. 72PECh. 8.2 - Prob. 73PECh. 8.2 - Prob. 74PECh. 8.2 - Prob. 75PECh. 8.2 - 76. Compute the sum of the first 60 positive...Ch. 8.2 - Prob. 77PECh. 8.2 - Prob. 78PECh. 8.2 - Prob. 79PECh. 8.2 - Prob. 80PECh. 8.2 - Prob. 81PECh. 8.2 - Prob. 82PECh. 8.2 - Prob. 83PECh. 8.2 - Prob. 84PECh. 8.2 - Prob. 85PECh. 8.2 - Prob. 86PECh. 8.3 - Skill Practice Determine whether the sequence is...Ch. 8.3 - Prob. 2SPCh. 8.3 - Prob. 3SPCh. 8.3 - Prob. 4SPCh. 8.3 - Prob. 5SPCh. 8.3 - Prob. 6SPCh. 8.3 - Prob. 7SPCh. 8.3 - Prob. 8SPCh. 8.3 - Prob. 9SPCh. 8.3 - Prob. 10SPCh. 8.3 - Prob. 11SPCh. 8.3 - Prob. 1PECh. 8.3 - Prob. 2PECh. 8.3 - Prob. 3PECh. 8.3 - Prob. 4PECh. 8.3 - 5. Given a geometric sequence with , the value of...Ch. 8.3 - Prob. 6PECh. 8.3 - Prob. 7PECh. 8.3 - Prob. 8PECh. 8.3 - For Exercises 918, determine whether the sequence...Ch. 8.3 - Prob. 10PECh. 8.3 - For Exercises 9–18, determine whether the sequence...Ch. 8.3 - Prob. 12PECh. 8.3 - For Exercises 9–18, determine whether the sequence...Ch. 8.3 - Prob. 14PECh. 8.3 - For Exercises 9–18, determine whether the sequence...Ch. 8.3 - Prob. 16PECh. 8.3 - For Exercises 918, determine whether the sequence...Ch. 8.3 - Prob. 18PECh. 8.3 - For Exercises 19-24, write the first five terms of...Ch. 8.3 - Prob. 20PECh. 8.3 - For Exercises 19-24, write the first five terms of...Ch. 8.3 - Prob. 22PECh. 8.3 - For Exercises 19-24, write the first five terms of...Ch. 8.3 - For Exercises 19-24, write the first five terms of...Ch. 8.3 - For Exercises 25-30, write a formula for the nth...Ch. 8.3 - For Exercises 25-30, write a formula for the n th...Ch. 8.3 - For Exercises 25-30, write a formula for the nth...Ch. 8.3 - Prob. 28PECh. 8.3 - For Exercises 25-30, write a formula for the nth...Ch. 8.3 - Prob. 30PECh. 8.3 - 31. A farmer depreciates a $100,000 tractor. He...Ch. 8.3 - Prob. 32PECh. 8.3 - 33. Doctors in a certain city report 24 confirmed...Ch. 8.3 - 34. After a 5-yr slump in the real estate market,...Ch. 8.3 - For Exercises 35-42, find the indicated term of a...Ch. 8.3 - Prob. 36PECh. 8.3 - For Exercises 35-42, find the indicated term of a...Ch. 8.3 - Prob. 38PECh. 8.3 - For Exercises 35-42, find the indicated term of a...Ch. 8.3 - Prob. 40PECh. 8.3 - For Exercises 35-42, find the indicated term of a...Ch. 8.3 - For Exercises 35-42, find the indicated term of a...Ch. 8.3 - 43. If the second and third terms of a geometric...Ch. 8.3 - Prob. 44PECh. 8.3 - For Exercises 45-48, find and r for a geometric...Ch. 8.3 - Prob. 46PECh. 8.3 - For Exercises 45-48, find a1 and r for a geometric...Ch. 8.3 - Prob. 48PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 50PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 52PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 54PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 56PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 58PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 62PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 66PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 68PECh. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - For Exercises 49-72, find the sum of the geometric...Ch. 8.3 - Prob. 72PECh. 8.3 - Prob. 73PECh. 8.3 - Prob. 74PECh. 8.3 - Prob. 75PECh. 8.3 - Prob. 76PECh. 8.3 - Prob. 77PECh. 8.3 - Prob. 78PECh. 8.3 - Prob. 79PECh. 8.3 - Prob. 80PECh. 8.3 - Prob. 81PECh. 8.3 - Prob. 82PECh. 8.3 - Prob. 83PECh. 8.3 - Prob. 84PECh. 8.3 - Prob. 85PECh. 8.3 - Prob. 86PECh. 8.3 - Prob. 87PECh. 8.3 - Prob. 88PECh. 8.3 - Prob. 89PECh. 8.3 - Prob. 90PECh. 8.3 - Prob. 91PECh. 8.3 - Prob. 92PECh. 8.3 - Prob. 93PECh. 8.3 - Prob. 94PECh. 8.3 - Prob. 95PECh. 8.3 - The initial swing (one way) of a pendulum makes an...Ch. 8.3 - Prob. 97PECh. 8.3 - Prob. 98PECh. 8.3 - Suppose that an individual is paid $0.01 on day 1...Ch. 8.3 - Prob. 100PECh. 8.3 - Prob. 101PECh. 8.3 - a. Jacob has a job that pays $48,000 the first...Ch. 8.3 - Prob. 103PECh. 8.3 - Prob. 104PECh. 8.3 - Prob. 105PECh. 8.3 - Prob. 106PECh. 8.3 - 107. A geometric sequence has a common ratio r....Ch. 8.3 - Prob. 108PECh. 8.3 - Prob. 109PECh. 8.3 - Suppose that a1,a2,a3, is an arithmetic sequence...Ch. 8.3 - Prob. 111PECh. 8.3 - Prob. 112PECh. 8.3 - Prob. 113PECh. 8.3 - Prob. 1PRECh. 8.3 - Prob. 2PRECh. 8.3 - Prob. 3PRECh. 8.3 - For Exercises 1-10, determine if the nth term of...Ch. 8.3 - For Exercises 1-10, determine if the nth term of...Ch. 8.3 - Prob. 6PRECh. 8.3 - Prob. 7PRECh. 8.3 - Prob. 8PRECh. 8.3 - Prob. 9PRECh. 8.3 - Prob. 10PRECh. 8.3 - Prob. 11PRECh. 8.3 - Prob. 12PRECh. 8.3 - For Exercises 11-28, evaluate the sum if...Ch. 8.3 - For Exercises 11-28, evaluate the sum if possible....Ch. 8.3 - Prob. 15PRECh. 8.3 - Prob. 16PRECh. 8.3 - Prob. 17PRECh. 8.3 - Prob. 18PRECh. 8.3 - Prob. 19PRECh. 8.3 - Prob. 20PRECh. 8.3 - Prob. 21PRECh. 8.3 - Prob. 22PRECh. 8.3 - For Exercises 11-28, evaluate the sum if...Ch. 8.3 - Prob. 24PRECh. 8.3 - Prob. 25PRECh. 8.3 - Prob. 26PRECh. 8.3 - Prob. 27PRECh. 8.3 - For Exercises 11-28, evaluate the sum if...Ch. 8.4 - Prob. 1SPCh. 8.4 - Prob. 2SPCh. 8.4 - Prob. 3SPCh. 8.4 - Prob. 4SPCh. 8.4 - Let Pn be a statement involving the positive...Ch. 8.4 - Prob. 2PECh. 8.4 - Prob. 3PECh. 8.4 - For Exercises 3-16, use mathematical induction to...Ch. 8.4 - Prob. 5PECh. 8.4 - Prob. 6PECh. 8.4 - Prob. 7PECh. 8.4 - Prob. 8PECh. 8.4 - Prob. 9PECh. 8.4 - Prob. 10PECh. 8.4 - Prob. 11PECh. 8.4 - Prob. 12PECh. 8.4 - Prob. 13PECh. 8.4 - Prob. 14PECh. 8.4 - Prob. 15PECh. 8.4 - Prob. 16PECh. 8.4 - Prob. 17PECh. 8.4 - For Exercises 17-24, use mathematical induction to...Ch. 8.4 - Prob. 19PECh. 8.4 - For Exercises 17-24, use mathematical induction to...Ch. 8.4 - Prob. 21PECh. 8.4 - Prob. 22PECh. 8.4 - Prob. 23PECh. 8.4 - Prob. 24PECh. 8.4 - Prob. 25PECh. 8.4 - Prob. 26PECh. 8.4 - Prob. 27PECh. 8.4 - Prob. 28PECh. 8.4 - Prob. 29PECh. 8.4 - Prob. 30PECh. 8.4 - Prob. 31PECh. 8.4 - Prob. 32PECh. 8.4 - Prob. 33PECh. 8.4 - Prob. 34PECh. 8.4 - Prob. 35PECh. 8.4 - Prob. 36PECh. 8.4 - We have used mathematical induction to prove that...Ch. 8.4 - Prob. 38PECh. 8.4 - Prob. 39PECh. 8.4 - Prob. 40PECh. 8.4 - Prob. 41PECh. 8.4 - Prob. 42PECh. 8.4 - For Exercises 43-44, use the Fibonacci sequence ....Ch. 8.4 - Prob. 44PECh. 8.5 - Skill Practice
1. Expand.
Ch. 8.5 - Prob. 2SPCh. 8.5 - Prob. 3SPCh. 8.5 - Prob. 4SPCh. 8.5 - Prob. 5SPCh. 8.5 - Prob. 1PECh. 8.5 - Prob. 2PECh. 8.5 - Prob. 3PECh. 8.5 - Prob. 4PECh. 8.5 - Prob. 5PECh. 8.5 - Prob. 6PECh. 8.5 - 7. a. Write the first five rows of Pascal's...Ch. 8.5 - a. Write the first four rows of Pascal's triangle....Ch. 8.5 - Prob. 9PECh. 8.5 - Prob. 10PECh. 8.5 - Prob. 11PECh. 8.5 - Prob. 12PECh. 8.5 - Prob. 13PECh. 8.5 - Prob. 14PECh. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - Prob. 16PECh. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - Prob. 18PECh. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - Prob. 22PECh. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - Prob. 24PECh. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - Prob. 26PECh. 8.5 - For Exercises 15-28, expand the binomial by using...Ch. 8.5 - Prob. 28PECh. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - Prob. 32PECh. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - Prob. 34PECh. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - Prob. 36PECh. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - Prob. 38PECh. 8.5 - For Exercises 29-40, find the indicated term of...Ch. 8.5 - Prob. 40PECh. 8.5 - Prob. 41PECh. 8.5 - Prob. 42PECh. 8.5 - Prob. 43PECh. 8.5 - Prob. 44PECh. 8.5 - Prob. 45PECh. 8.5 - Prob. 46PECh. 8.5 - Prob. 47PECh. 8.5 - Simplify. (x+1)3(x1)3Ch. 8.5 - Prob. 49PECh. 8.5 - Prob. 50PECh. 8.5 - Prob. 51PECh. 8.5 - Prob. 52PECh. 8.5 - Prob. 53PECh. 8.5 - Prob. 54PECh. 8.5 - Prob. 55PECh. 8.5 - Prob. 56PECh. 8.5 - Prob. 57PECh. 8.5 - Prob. 58PECh. 8.5 - Prob. 59PECh. 8.5 - Explain why (133) is undefined.Ch. 8.5 - Prob. 61PECh. 8.5 - Prob. 62PECh. 8.5 - Prob. 63PECh. 8.5 - Stirling's formula (named after Scottish...Ch. 8.5 - Prob. 65PECh. 8.5 - Prob. 66PECh. 8.6 - Prob. 1SPCh. 8.6 - Skill Practice A code for an alarm system is made...Ch. 8.6 - Prob. 3SPCh. 8.6 - Skill Practice
4. a. In how many ways can 7...Ch. 8.6 - Prob. 5SPCh. 8.6 - Prob. 6SPCh. 8.6 - Skill Practice
7. Suppose that 20 people enter a...Ch. 8.6 - Skill Practice
8. The California lottery game...Ch. 8.6 - Prob. 9SPCh. 8.6 - Prob. 1PECh. 8.6 - If n items are arranged in order, then each...Ch. 8.6 - Prob. 3PECh. 8.6 - Prob. 4PECh. 8.6 - Prob. 5PECh. 8.6 - Prob. 6PECh. 8.6 - Prob. 7PECh. 8.6 - Prob. 8PECh. 8.6 - Prob. 9PECh. 8.6 - Prob. 10PECh. 8.6 - Prob. 11PECh. 8.6 - Prob. 12PECh. 8.6 - Prob. 13PECh. 8.6 - Prob. 14PECh. 8.6 - Prob. 15PECh. 8.6 - Prob. 16PECh. 8.6 - Prob. 17PECh. 8.6 - Prob. 18PECh. 8.6 - Prob. 19PECh. 8.6 - 20. An employee identification code for a hospital...Ch. 8.6 - Prob. 21PECh. 8.6 - Prob. 22PECh. 8.6 - Prob. 23PECh. 8.6 - Prob. 24PECh. 8.6 - Prob. 25PECh. 8.6 - Prob. 26PECh. 8.6 - Prob. 27PECh. 8.6 - Prob. 28PECh. 8.6 - Prob. 29PECh. 8.6 - Prob. 30PECh. 8.6 - Prob. 31PECh. 8.6 - Prob. 32PECh. 8.6 - Prob. 33PECh. 8.6 - Prob. 34PECh. 8.6 - Prob. 35PECh. 8.6 - Prob. 36PECh. 8.6 - Prob. 37PECh. 8.6 - Prob. 38PECh. 8.6 - Prob. 39PECh. 8.6 - Prob. 40PECh. 8.6 - Prob. 41PECh. 8.6 - Prob. 42PECh. 8.6 - Prob. 43PECh. 8.6 - Prob. 44PECh. 8.6 - Prob. 45PECh. 8.6 - Prob. 46PECh. 8.6 - Prob. 47PECh. 8.6 - Prob. 48PECh. 8.6 - Prob. 49PECh. 8.6 - Prob. 50PECh. 8.6 - Prob. 51PECh. 8.6 - Prob. 52PECh. 8.6 - Prob. 53PECh. 8.6 - Prob. 54PECh. 8.6 - Prob. 55PECh. 8.6 - Prob. 56PECh. 8.6 - At a ballroom dance lesson, the instructor chooses...Ch. 8.6 - Prob. 58PECh. 8.6 - Prob. 59PECh. 8.6 - Prob. 60PECh. 8.6 - Prob. 61PECh. 8.6 - Prob. 62PECh. 8.6 - Prob. 63PECh. 8.6 - Prob. 64PECh. 8.6 - 65. Twenty batteries have been sitting in a drawer...Ch. 8.6 - Prob. 66PECh. 8.6 - Prob. 67PECh. 8.6 - Prob. 68PECh. 8.6 - Prob. 69PECh. 8.6 - Prob. 70PECh. 8.6 - Prob. 71PECh. 8.6 - Prob. 72PECh. 8.6 - Prob. 73PECh. 8.6 - Prob. 74PECh. 8.6 - Prob. 75PECh. 8.6 - Prob. 76PECh. 8.6 - Prob. 77PECh. 8.6 - Prob. 78PECh. 8.6 - In Exercise 103 from Section 8.3, we learned that...Ch. 8.6 - Prob. 80PECh. 8.6 - Prob. 81PECh. 8.6 - Prob. 82PECh. 8.6 - Prob. 83PECh. 8.6 - A television station must play twelve 30-sec...Ch. 8.6 - Prob. 85PECh. 8.6 - Prob. 86PECh. 8.6 - Prob. 87PECh. 8.6 - Prob. 88PECh. 8.7 - Prob. 1SPCh. 8.7 - Prob. 2SPCh. 8.7 - Prob. 3SPCh. 8.7 - Prob. 4SPCh. 8.7 - Skill Practice
5. Suppose that of approximately...Ch. 8.7 - Prob. 6SPCh. 8.7 - Skill Practice
7. Refer to the data given in...Ch. 8.7 - Skill Practice
8. Suppose that a family plans to...Ch. 8.7 - Prob. 9SPCh. 8.7 - Prob. 1PECh. 8.7 - Prob. 2PECh. 8.7 - Prob. 3PECh. 8.7 - Prob. 4PECh. 8.7 - 5. Two events in a sample space are ________ if...Ch. 8.7 - If two events A and B are not mutually exclusive,...Ch. 8.7 - Prob. 7PECh. 8.7 - Prob. 8PECh. 8.7 - 9. Which of the values can represent the...Ch. 8.7 - Prob. 10PECh. 8.7 - Prob. 11PECh. 8.7 - Prob. 12PECh. 8.7 - Prob. 13PECh. 8.7 - Prob. 14PECh. 8.7 - Prob. 15PECh. 8.7 - Prob. 16PECh. 8.7 - Prob. 17PECh. 8.7 - Prob. 18PECh. 8.7 - Prob. 19PECh. 8.7 - Prob. 20PECh. 8.7 - Prob. 21PECh. 8.7 - Prob. 22PECh. 8.7 - Prob. 23PECh. 8.7 - Prob. 24PECh. 8.7 - 25. A course in early civilization bas 6 freshmen,...Ch. 8.7 - Prob. 26PECh. 8.7 - For Exercises 27-28, consider an American roulette...Ch. 8.7 - Prob. 28PECh. 8.7 - Prob. 29PECh. 8.7 - Prob. 30PECh. 8.7 - 31. According to the Centers for Disease Control,...Ch. 8.7 - Prob. 32PECh. 8.7 - Prob. 33PECh. 8.7 - Prob. 34PECh. 8.7 - Prob. 35PECh. 8.7 - Prob. 36PECh. 8.7 - Prob. 37PECh. 8.7 - Prob. 38PECh. 8.7 - 39. Suppose that a jury pool consists of 18 women...Ch. 8.7 - Suppose that 20 good batteries and 6 defective...Ch. 8.7 - Prob. 41PECh. 8.7 - Prob. 42PECh. 8.7 - Scientist Gregor Mendel (1822-1884) is often...Ch. 8.7 - Prob. 44PECh. 8.7 - Prob. 45PECh. 8.7 - Prob. 46PECh. 8.7 - Prob. 47PECh. 8.7 - Prob. 48PECh. 8.7 - Prob. 49PECh. 8.7 - Prob. 50PECh. 8.7 - Prob. 51PECh. 8.7 - Prob. 52PECh. 8.7 - Prob. 53PECh. 8.7 - Prob. 54PECh. 8.7 - Prob. 55PECh. 8.7 - Prob. 56PECh. 8.7 - Prob. 57PECh. 8.7 - Prob. 58PECh. 8.7 - Prob. 59PECh. 8.7 - Prob. 60PECh. 8.7 - Prob. 61PECh. 8.7 - Prob. 62PECh. 8.7 - Prob. 63PECh. 8.7 - Prob. 64PECh. 8.7 - Prob. 65PECh. 8.7 - Prob. 66PECh. 8.7 - Prob. 67PECh. 8.7 - Prob. 68PECh. 8.7 - Prob. 69PECh. 8.7 - Prob. 70PECh. 8.7 - Prob. 71PECh. 8.7 - Prob. 72PECh. 8.7 - A test has 10 questions, Five questions arc...Ch. 8.7 - 74. A quit has 6 multiple-choice questions and...Ch. 8.7 - The blood type of an individual is classified...Ch. 8.7 - Prob. 76PECh. 8.7 - Prob. 77PECh. 8.7 - Prob. 78PECh. 8.7 - Doctors know that certain restrictions apply when...Ch. 8.7 - Doctors know that certain restrictions apply when...Ch. 8.7 - Prob. 81PECh. 8.7 - Prob. 82PECh. 8.7 - Prob. 83PECh. 8.7 - 84. Airlines often overbook flights because a...Ch. 8.7 - Prob. 85PECh. 8.7 - Prob. 86PECh. 8.7 - Prob. 87PECh. 8.7 - For Exercises 86-88, a. Shade the area bounded by...Ch. 8.7 - Prob. 89PECh. 8.7 - Prob. 90PECh. 8.7 - Give an example of two events that are not...Ch. 8.7 - Prob. 92PECh. 8.7 - Prob. 93PECh. 8.7 - Prob. 94PECh. 8.7 - Prob. 95PECh. 8.7 - Prob. 96PECh. 8 - For Exercises 1-2, simplify the expression.
1.
Ch. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - 51. a. At age 28, an employee begins investing...Ch. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - For Exercises 53-56, use mathematical induction to...Ch. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - For Exercises 60-64, expand the binomial by using...Ch. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Gaynelle can travel one of 3 roads from her home...Ch. 8 - 71. A disc jockey has 7 songs that he must play in...Ch. 8 - Prob. 72RECh. 8 - In how many ways can the word SPACE be misspelled?Ch. 8 - 74. A quiz consists of 6 true/false questions and...Ch. 8 - A 3-digit code is to be made from the set of...Ch. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RECh. 8 - Prob. 83RECh. 8 - Prob. 84RECh. 8 - Prob. 85RECh. 8 - Prob. 86RECh. 8 - Prob. 87RECh. 8 - 88. Suppose that a box containing music CDs has 4...Ch. 8 - Suppose that two fair dice are rolled. Determine...Ch. 8 - Prob. 90RECh. 8 - Suppose that 15 lightbulbs are in a cabinet and...Ch. 8 - Prob. 92RECh. 8 - 93. For a recent year, the Centers for Disease...Ch. 8 - Prob. 94RECh. 8 - For Exercises 94-99, use the data in the table...Ch. 8 - Prob. 96RECh. 8 - For Exercises 94-99, use the data in the table...Ch. 8 - Prob. 98RECh. 8 - Prob. 99RECh. 8 - For Exercises 100-103, refer to the sample space...Ch. 8 - For Exercises 100-103, refer to the sample space...Ch. 8 - Prob. 102RECh. 8 - For Exercises 100-103, refer to the sample space...Ch. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - For Exercises 3-5,
a. Determine whether the...Ch. 8 - Prob. 4TCh. 8 - For Exercises 3-5,
a. Determine whether the...Ch. 8 - Prob. 6TCh. 8 - Write the first five terms of the arithmetic...Ch. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - 19. Suppose that a county fair has an estimated...Ch. 8 - An employee invests $400 per month in an ordinary...Ch. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Prob. 24TCh. 8 - Prob. 25TCh. 8 - Prob. 26TCh. 8 - Prob. 27TCh. 8 - Prob. 28TCh. 8 - Prob. 29TCh. 8 - Prob. 30TCh. 8 - Prob. 31TCh. 8 - Prob. 32TCh. 8 - Prob. 33TCh. 8 - Prob. 34TCh. 8 - Suppose that a jury pool consists of 30 women and...Ch. 8 - Prob. 36TCh. 8 - After a service call by a plumber, the company...Ch. 8 - Prob. 38TCh. 8 - Prob. 39TCh. 8 - Prob. 40TCh. 8 - Prob. 41TCh. 8 - Prob. 42TCh. 8 - Prob. 43TCh. 8 - Prob. 44TCh. 8 - Prob. 45TCh. 8 - Prob. 46TCh. 8 - Prob. 47TCh. 8 - Prob. 1CRECh. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Prob. 5CRECh. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRECh. 8 - Prob. 11CRECh. 8 - Prob. 12CRECh. 8 - Prob. 13CRECh. 8 - Prob. 14CRECh. 8 - Prob. 15CRECh. 8 - Prob. 16CRECh. 8 - Prob. 17CRECh. 8 - Prob. 18CRECh. 8 - Prob. 19CRECh. 8 - Prob. 20CRECh. 8 - Prob. 21CRECh. 8 - Prob. 22CRECh. 8 - Prob. 23CRECh. 8 - Prob. 24CRECh. 8 - Prob. 25CRECh. 8 - Prob. 26CRECh. 8 - Prob. 27CRECh. 8 - Prob. 28CRECh. 8 - Prob. 29CRECh. 8 - Prob. 30CRECh. 8 - Prob. 31CRECh. 8 - Prob. 32CRECh. 8 - Prob. 33CRECh. 8 - Prob. 34CRECh. 8 - Prob. 35CRECh. 8 - Prob. 36CRECh. 8 - Prob. 37CRECh. 8 - Prob. 38CRECh. 8 - Prob. 39CRECh. 8 - Prob. 40CRECh. 8 - Prob. 41CRECh. 8 - Prob. 42CRECh. 8 - Prob. 43CRECh. 8 - Prob. 44CRECh. 8 - Prob. 45CRECh. 8 - Prob. 46CRECh. 8 - 47. Given , find .
Ch. 8 - Prob. 48CRECh. 8 - Prob. 49CRECh. 8 - Prob. 50CRECh. 8 - Prob. 51CRECh. 8 - Prob. 52CRECh. 8 - Prob. 53CRECh. 8 - Prob. 54CRECh. 8 - Prob. 55CRECh. 8 - Prob. 56CRECh. 8 - Prob. 57CRECh. 8 - Prob. 58CRECh. 8 - Prob. 59CRECh. 8 - Prob. 60CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Q/(a)Let X be a finite dimension vector space over a field F and S₁,S2CX such that S₁SS2. Show that whether (1) if S, is a base for X then base for X or not (2) if S2 is a base for X then S, is a base for X or not (b) Show that every subspace of vector space is convex and affine set but the conevrse need not to be true. allet M be a non-empty subset of a vector space X over a field F and x,EX. Show that M is a hyperspace iff xo+ M is a hyperplane and xo€ xo+M. bState Hahn-Banach theorem and write with prove an application about it. Show that every singleten subset and finite subset of a normed space is closed. Oxfallet f he a function from a normad roace YI Show tha ir continuour aty.GYiffarrow_forward7 3 2 x+11x+24 9 2 5 x+11x+24arrow_forward2 4 + 4x 2x 8 || 12arrow_forward
- 1 5 1 2 3 1 6 7 -4 -3 -2 -1 0 1 2 3 -1 4 Which point is not included in the solution cot for the inequality? 5arrow_forwardWhich graph represents the solution of y > x2 + 2?arrow_forwardA boat's value over time, x, is given as the function f(x) = 400(b)x. Which graph shows the boat's value decreasing at a rate of 25% per year?arrow_forward
- A boat's value over time, x, is given as the function f(x) = 400(b)x. Graph the boat's value decreasing at a rate of 25% per year?arrow_forwardDescribe the y-intercept and end behavior of the following graph: 0 2 4 -2 -4 -6arrow_forwardComputing Ending Inventory under Dollar-Value LIFO Wheels Inc. accounts for inventory using the dollar-value LIFO method. The following information is available for Year 1 through Year 3 (listed chronologically). Year Ending Inventory at FIFO Price Index Year 1 Year 2 Year 3 $6,000 1.00 9,600 1.10 12,000 1.13 Compute ending inventory under the dollar-value LIFO method for Year 1, Year 2, and Year 3. • Note: Round your answers to the nearest whole dollar.arrow_forward
- Upland Co.'s inventory records showed the following data accounted for in a perpetual inventory system. Unit Date June 1 Units Cost Inventory (beg.) 700 $8.00 June 3 Purchases 1,400 8.40 June 7 Sales (at $16 per unit) 980 952 9.00 June 20 Purchases June 22 Sales (at $16 per unit) 1,540 What is (a) ending inventory on June 30, and (b) cost of goods sold for June, using the FIFO inventory method? •Note: Do not use negative signs with any of your answers. •Note: List the inventory units in chronological order based on their purchase date with beginning inventory, if any, listed first.arrow_forwardExplain how solve 4x + 3 = 7 using the change of base formula logy: logy. Include the solution for x in your answer. Round your answer to the nearest thousandth. log barrow_forward5. Consider the following vectors 0.1 3.2 -0-0-0 = 5.4 6.0 = z= 3 0.1 For each of exercises a-e, either compute the desired quantity by hand with work shown or explain why the desired quantity is not defined. (a) 10x (b) 10-27 (c) J+Z (d) (x, y) (e) (x, z)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY