A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
12th Edition
ISBN: 9780133865479
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 4.2, Problem 19MC
To determine
Whether the number greater than 3, can be written as sum of two prime numbers.
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Suppose the number of people who register to attend the Tucson Festival of Books can be modeled by P(t) = k(1.1),
where t is the number of days since the registration window opened. Assume k is a positive constant.
Which of the following represents how long it will take in days for the number of people who register to double?
t =
In(1.1)
In(2)
In(2)
t =
In(1.1)
In(1.1)
t =
t =
t =
In(2) - In(k)
In(2)
In(k) + In(1.1)
In(2) - In(k)
In(1.1)
For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
blank
c. What is the probability that a…
West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff.
Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.
Excel File: data05-19.xls
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value
Variance
clients per year
squared clients per year
Chapter 4 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
Ch. 4.1 - Reasoning Prove the following statements, assuming...Ch. 4.1 - A customer wants to mail a package. The postal...Ch. 4.1 - Is the areain cm2 of each of the following...Ch. 4.1 - Prob. 5MCCh. 4.1 - A number in which each digit except 0 appears...Ch. 4.1 - Prob. 7MCCh. 4.1 - Three tiles marked x, yandz need three different...Ch. 4.1 - Prob. 10MCCh. 4.1 - Prob. 11MCCh. 4.1 - Prob. 12MC
Ch. 4.1 - Prob. 13MCCh. 4.1 - Amy claims 10 is both even and odd because it is...Ch. 4.1 - Jane claimed that a number is divisible by 4 if...Ch. 4.1 - Your seventh-grade class has just completed a unit...Ch. 4.1 - Prob. 17MCCh. 4.1 - Prob. 18MCCh. 4.1 - Andy has three cards, A, B, and C. Each card has...Ch. 4.1 - Prob. 2NAEPCh. 4.1A - If you multiply an even number by 2 and add 1, is...Ch. 4.1A - Classify each of the following statements as true...Ch. 4.1A - Without using a calculator, test each of the...Ch. 4.1A - Using divisibility test, solve each of the...Ch. 4.1A - Find all possible single digits that can be placed...Ch. 4.1A - Find in the following blanks with the greatest...Ch. 4.1A - Prob. 7ACh. 4.1A - Without using Calculator, classify each of the...Ch. 4.1A - Classify each of the following statements as true...Ch. 4.1A - Find a whole number solution that makes each of...Ch. 4.1A - Classify each of the following statements as true...Ch. 4.1A - An archery target consists of five concentric...Ch. 4.1A - To find the remainder when a number is divided by...Ch. 4.1A - If 45|n, what other whole numbers divide n? Why?Ch. 4.1A - Devise a test for divisibility by 16.Ch. 4.1A - A test for checking arithmetic calculations is...Ch. 4.1A - A palindrome is a number that reads the same...Ch. 4.1A - Prove the test for divisibility by 9 for any...Ch. 4.1B - If you multiply an odd number by 2 and add 1, is...Ch. 4.1B - Classify each of the following statements as true...Ch. 4.1B - Without using a calculator, test each of the...Ch. 4.1B - Using divisibility tests, solve each of the...Ch. 4.1B - Find all possible single digits that can be placed...Ch. 4.1B - Without using a calculator, classify each of the...Ch. 4.1B - Prob. 7ACh. 4.1B - Without using a calculator, classify each of the...Ch. 4.1B - Classify each of the following statements as true...Ch. 4.1B - Answer each of the following questions without...Ch. 4.1B - The bookstore marked some notepads down from 2.00...Ch. 4.1B - Classify each of the following statements as true...Ch. 4.1B - In a football game, a touchdown with an extra...Ch. 4.1B - Classify each of the following statements as true...Ch. 4.1B - Compete the following table where n is the given...Ch. 4.1B - If 28|n, what other whole numbers divide n? Why?Ch. 4.1B - Devise a test for divisibility by 25.Ch. 4.1B - Use the casting out nines approach outlined in...Ch. 4.1B - Prob. 19ACh. 4.1B - Prove the test for divisibility by 9 for any...Ch. 4.2 - Mathematical Connections Explain why the product...Ch. 4.2 - Mathematical Connections Explain why the product...Ch. 4.2 - Mathematical Connections In the Sieve of...Ch. 4.2 - Mathematical Connections Let M=2357+11131719,...Ch. 4.2 - Prob. 5MCCh. 4.2 - Prob. 6MCCh. 4.2 - Prob. 8MCCh. 4.2 - Prob. 9MCCh. 4.2 - Prob. 10MCCh. 4.2 - Mathematical Connections When students asked their...Ch. 4.2 - Mathematical Connections a. In which of the...Ch. 4.2 - Cooperative Learning In the game Catch the...Ch. 4.2 - Prob. 15MCCh. 4.2 - Prob. 16MCCh. 4.2 - Prob. 17MCCh. 4.2 - Prob. 18MCCh. 4.2 - Prob. 19MCCh. 4.2 - Prob. 20MCCh. 4.2 - Prob. 21MCCh. 4.2 - Prob. 22MCCh. 4.2 - Prob. 23MCCh. 4.2 - Prob. 24MCCh. 4.2 - Prob. 1NAEPCh. 4.2 - Prob. 2NAEPCh. 4.2A - a. Fill in the missing numbers in the following...Ch. 4.2A - Prob. 2ACh. 4.2A - Find the prime factorization of the following...Ch. 4.2A - What is the greatest prime that must be considered...Ch. 4.2A - Question. Determine which of the following Number...Ch. 4.2A - Find the least natural number that is divisible by...Ch. 4.2A - Find the least three-digit whole number that has...Ch. 4.2A - Prob. 8ACh. 4.2A - Prob. 9ACh. 4.2A - Explain why 2332253 is not a prime factorization...Ch. 4.2A - Is it possible to find non-zero whole numbers...Ch. 4.2A - If 32n=26355473117, explain why 2357116 is a...Ch. 4.2A - Is 74113 a factor of 75113? Explain why or why...Ch. 4.2A - Prob. 14ACh. 4.2A - Prob. 15ACh. 4.2A - Briah and Emma are on the same swim team for the...Ch. 4.2A - A women with a basket of eggs finds that if she...Ch. 4.2A - A license plate is in two parts, a two-digit...Ch. 4.2A - Prob. 20ACh. 4.2A - A whole number is a perfect number if the sum of...Ch. 4.2B - a. Fill in the missing numbers in the following...Ch. 4.2B - Use a factor tree to find the prime factorization...Ch. 4.2B - Find the prime factorization of the following...Ch. 4.2B - What is the greatest prime that must be considered...Ch. 4.2B - Determine which of the following numbers are...Ch. 4.2B - Find the least natural number that is divisible by...Ch. 4.2B - Find the greatest four-digit whole number that has...Ch. 4.2B - Prob. 8ACh. 4.2B - Find the prime factorization of each of the...Ch. 4.2B - Prob. 10ACh. 4.2B - Is it possible to find non-zero whole numbers...Ch. 4.2B - If 2n=26355473117 explain why 2357116 is a factor...Ch. 4.2B - Prob. 13ACh. 4.2B - Prob. 14ACh. 4.2B - Mr. Todd wants to build a new rectangular patio....Ch. 4.2B - Prob. 16ACh. 4.2B - Jose has fewer than 100 baseball cards. If he puts...Ch. 4.2B - Isabelle, Noelle, and Juliette acquired a pile of...Ch. 4.2B - Prob. 19ACh. 4.2B - A prime such as 7331 is a superprime because any...Ch. 4.2B - A whole number is an abundant number if the sum of...Ch. 4.3 - Can two non-zero whole numbers have a greatest...Ch. 4.3 - Prob. 2MCCh. 4.3 - Prob. 3MCCh. 4.3 - Prob. 4MCCh. 4.3 - Prob. 5MCCh. 4.3 - Prob. 6MCCh. 4.3 - Prob. 7MCCh. 4.3 - Prob. 8MCCh. 4.3 - Prob. 9MCCh. 4.3 - Prob. 10MCCh. 4.3 - Prob. 12MCCh. 4.3 - Prob. 13MCCh. 4.3 - Prob. 14MCCh. 4.3 - Prob. 15MCCh. 4.3 - Prob. 16MCCh. 4.3 - Prob. 17MCCh. 4.3 - Prob. 18MCCh. 4.3 - Prob. 19MCCh. 4.3 - Prob. 20MCCh. 4.3 - Prob. 21MCCh. 4.3 - Prob. 1NAEPCh. 4.3A - Use colored rods to find the GCD and the LCM of 6...Ch. 4.3A - Prob. 2ACh. 4.3A - Find the GCD and the LCM for each of the following...Ch. 4.3A - Prob. 4ACh. 4.3A - Find the LCM for each of the following groups of...Ch. 4.3A - The product of two numbers is 1734 and their GCD...Ch. 4.3A - The GCD of two numbers is 19 and their LCM is 228....Ch. 4.3A - Prob. 8ACh. 4.3A - Classify each of the following statements as true...Ch. 4.3A - To find GCD24, 20, 12, it is possible to find...Ch. 4.3A - Show that 97, 219, 988, 751 and 4 are relatively...Ch. 4.3A - Draw Venn diagrams to show the prime factors for...Ch. 4.3A - Find three pairs (a,b) such that LCM(a,b)=48.Ch. 4.3A - Find all whole numbers x such that GCD(49,x)=1 and...Ch. 4.3A - In Quinns dormitory room, there are three...Ch. 4.3A - A company is running a promotion on Facebook....Ch. 4.3A - If there were to be 9 boys and 6 girls at a party...Ch. 4.3A - Prob. 18ACh. 4.3A - Anna has made 42 chocolate chip cookies and 54...Ch. 4.3A - Prob. 20ACh. 4.3A - Jazz has 72 yd of red ribbon and 42 yd of blue...Ch. 4.3B - Use colored rods to find the GCD and the LCM of 4...Ch. 4.3B - Find the GCD and LCM for each of the following...Ch. 4.3B - Find the GCD and LCM for each of the following...Ch. 4.3B - Find the GCD for each of the following groups of...Ch. 4.3B - Find the LCM for each of the following groups of...Ch. 4.3B - The product of two numbers is 5880 and their GCD...Ch. 4.3B - The GCD of two numbers is 11 and their LCM is 330....Ch. 4.3B - Assume a and b are natural numbers and answer the...Ch. 4.3B - Classify each of the following statements as true...Ch. 4.3B - To find GCD 24, 20, 12, it is possible to find GCD...Ch. 4.3B - Show that 181, 345, 913 and 11 are relatively...Ch. 4.3B - Draw Venn diagrams to show the prime factors for...Ch. 4.3B - Find three pairs (a,b) such that LCM(a,b)=60.Ch. 4.3B - Find all whole numbers x such that GCD(25,x)=1 and...Ch. 4.3B - A light display has colored lights, each of which...Ch. 4.3B - A movie rental store gave a free popcorn to every...Ch. 4.3B - Prob. 17ACh. 4.3B - A college runs two different bus routes starting...Ch. 4.3B - By selling cookies at 24c each, Jose made enough...Ch. 4.3B - Determine how many complete revolutions each gear...Ch. 4.3B - Kobe has collected 300 football card and 264...Ch. 4.CR - Classify each of the following statements as true...Ch. 4.CR - Test each of the following numbers for...Ch. 4.CR - Find the greatest digit to makes each of the...Ch. 4.CR - A student claims that the sum of five consecutive...Ch. 4.CR - Prob. 5CRCh. 4.CR - Prob. 6CRCh. 4.CR - Find all the positive divisors of 144.Ch. 4.CR - Prob. 8CRCh. 4.CR - If 1009 is prime, prove that 1026 is not divisible...Ch. 4.CR - Determine whether each of the following numbers is...Ch. 4.CR - Prob. 11CRCh. 4.CR - Prob. 12CRCh. 4.CR - Find the prime factorization of each of the...Ch. 4.CR - Prob. 14CRCh. 4.CR - Prob. 15CRCh. 4.CR - Find the GCD for each of the following pairs of...Ch. 4.CR - Find the LCM of each of the following gropus of...Ch. 4.CR - Prob. 19CRCh. 4.CR - Prob. 20CRCh. 4.CR - Prob. 21CRCh. 4.CR - Prob. 22CRCh. 4.CR - Two bells ring at 8:00A.M for the remainder of the...Ch. 4.CR - Midas has 120 gold coins and 144 silver coins. He...Ch. 4.CR - Jane and Ramon are running laps on a track. If...Ch. 4.CR - Prob. 26CRCh. 4.CR - Prob. 27CRCh. 4 - NOW TRY THIS For any whole numbers aandb,...Ch. 4 - Prob. 2NTCh. 4 - Prob. 3NTCh. 4 - NOW TRY THIS Colored rods are used in the...Ch. 4 - Prob. 5NTCh. 4 - Prob. 6NTCh. 4 - Prob. 7NT
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