Basic College Mathematics, Books A La Carte Edition, Plus Mylab Math With Pearson Etext -- Access Card Package (6th Edition)
6th Edition
ISBN: 9780134844978
Author: Elayn Martin-Gay
Publisher: PEARSON
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Chapter 5, Problem 18CR
To determine
The value of the expression
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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 5 Solutions
Basic College Mathematics, Books A La Carte Edition, Plus Mylab Math With Pearson Etext -- Access Card Package (6th Edition)
Ch. 5.1 - Prob. 1PCh. 5.1 - Write each ratio using fractional notation.
The...Ch. 5.1 - Write each ratio using fractional notation.
The...Ch. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.1 - Prob. 6PCh. 5.1 - Use the circle graph for Example 7 to write the...Ch. 5.1 - Prob. 8PCh. 5.1 - Prob. 1VRVCh. 5.1 - Prob. 2VRV
Ch. 5.1 - Prob. 3VRVCh. 5.1 - Prob. 4VRVCh. 5.1 - Prob. 5VRVCh. 5.1 - Prob. 6VRVCh. 5.1 - Prob. 7VRVCh. 5.1 - Prob. 8VRVCh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10ECh. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Mixed Practice Write each ratio as a ratio of...Ch. 5.1 - Mixed Practice Write each ratio as a ratio of...Ch. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Mixed Practice Write each ratio as a ratio of...Ch. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 37ECh. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Prob. 64ECh. 5.1 - Prob. 65ECh. 5.1 - Prob. 66ECh. 5.1 - Prob. 67ECh. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - Prob. 70ECh. 5.1 - Prob. 71ECh. 5.1 - Prob. 72ECh. 5.1 - Prob. 73ECh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 1VRVCh. 5.2 - Prob. 2VRVCh. 5.2 - Prob. 3VRVCh. 5.2 - Prob. 4VRVCh. 5.2 - Prob. 5VRVCh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Write each rate as a unit rate. See Examples 4 and...Ch. 5.2 - Write each rate as a unit rate. See Examples 4 and...Ch. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Write each rate as a unit rate. See Examples 4 and...Ch. 5.2 - Write each rate as a unit rate. See Examples 4 and...Ch. 5.2 - Write each rate as a unit rate. See Examples 4 and...Ch. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Find each unit price. See Example 6.
$1.19 for 7...Ch. 5.2 - Find each unit price. See Example 6.
$73.50 for 6...Ch. 5.2 - Objective C Find each unit price. See Example...Ch. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Find each unit price. See Example 6.
Multiply or...Ch. 5.2 - Find each unit price. See Example 6.
Multiply or...Ch. 5.2 - Find each unit price. See Example 6.
Multiply or...Ch. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Prob. 63ECh. 5.2 - Find each unit price. See Example 6.
In your own...Ch. 5.2 - Prob. 65ECh. 5.2 - Find each unit price. See Example 6.
Find an item...Ch. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Is a true proportion?
Ch. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Prob. 5VRVCh. 5.3 - Prob. 6VRVCh. 5.3 - Prob. 7VRVCh. 5.3 - Prob. 8VRVCh. 5.3 - Prob. 9VRVCh. 5.3 - Prob. 10VRVCh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Write each sentence as a proportion. See Example...Ch. 5.3 - Write each sentence as a proportion. See Example...Ch. 5.3 - Write each sentence as a proportion. See Example...Ch. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Write each sentence as a proportion. Then...Ch. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Insert < or > to form a true statement. See...Ch. 5.3 - Insert < or > to form a true statement. See...Ch. 5.3 - Insert < or > to form a true statement. See...Ch. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - Prob. 67ECh. 5.3 - Prob. 68ECh. 5.3 - Prob. 69ECh. 5.3 - Use the numbers in each proportion to write two...Ch. 5.3 - If the proportion is a true proportion, write two...Ch. 5.3 - Write a true proportion.
Ch. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.3 - Prob. 79ECh. 5.3 - Prob. 80ECh. 5.3 - Prob. 81ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 85ECh. 5.3 - Prob. 86ECh. 5.4 - Prob. 1PCh. 5.4 - Prob. 2PCh. 5.4 - Prob. 3PCh. 5.4 - An NBA basketball player averages 45 baskets for...Ch. 5.4 - Prob. 2ECh. 5.4 - It takes a word processor 30 minutes to word...Ch. 5.4 - It takes a word processor 30 minutes to word...Ch. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - A student would like to estimate the height of the...Ch. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - The gas/oil ratio for a certain tractor mower is...Ch. 5.4 - The adult daily dosage for a certain medicine is...Ch. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Prob. 57ECh. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - A board such as the one pictured below will...Ch. 5 - Prob. 1IRCh. 5 - Write each ratio as a ratio of whole numbers using...Ch. 5 - Prob. 3IRCh. 5 - Prob. 4IRCh. 5 - Prob. 5IRCh. 5 - Prob. 6IRCh. 5 - Prob. 7IRCh. 5 - Prob. 8IRCh. 5 - Prob. 9IRCh. 5 - Write each ratio as a ratio of whole numbers using...Ch. 5 - Find the ratio described in each problem.
During...Ch. 5 - Find the ratio described in each problem.
The New...Ch. 5 - Prob. 13IRCh. 5 - Prob. 14IRCh. 5 - Prob. 15IRCh. 5 - Prob. 16IRCh. 5 - Prob. 17IRCh. 5 - Prob. 18IRCh. 5 - Prob. 19IRCh. 5 - Prob. 20IRCh. 5 - Write each rate as a fraction in simplest...Ch. 5 - Write each rate as a fraction in simplest...Ch. 5 - Write each rate as a fraction in simplest form.
63...Ch. 5 - Write each rate as a fraction in simplest form.
85...Ch. 5 - Prob. 25IRCh. 5 - Prob. 26IRCh. 5 - Prob. 27IRCh. 5 - Prob. 28IRCh. 5 - Prob. 29IRCh. 5 - Write each unit price, rounded to the nearest...Ch. 5 - Write each unit price, rounded to the nearest...Ch. 5 - Write each unit price, rounded to the nearest...Ch. 5 - Prob. 1VCCh. 5 - Prob. 2VCCh. 5 - Prob. 3VCCh. 5 - Prob. 4VCCh. 5 - Prob. 5VCCh. 5 - Prob. 6VCCh. 5 - Prob. 7VCCh. 5 - Prob. 8VCCh. 5 - (5.1) Write each ratio as a fraction in simplest...Ch. 5 - (5.1) Write each ratio as a fraction in simplest...Ch. 5 - (5.1) Write each ratio as a fraction in simplest...Ch. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Write each rate as a fraction in simplest form.
8...Ch. 5 - Write each rate as a fraction in simplest form.
6...Ch. 5 - Write each rate as a fraction in simplest form.
15...Ch. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Find each unit price and decide which is the...Ch. 5 - Find each unit price and decide which is the...Ch. 5 - Find each unit price and decide which is the...Ch. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Determine whether each proportion is true.
Ch. 5 - Determine whether each proportion is true.
Ch. 5 - Find the unknown number n in each proportion.
Ch. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Find the unknown number n in each proportion.
Ch. 5 - Find the unknown number n in each proportion.
Ch. 5 - Find the unknown number n in each proportion.
Ch. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 47RECh. 5 - One bag of pesticide covers 4000 square feet of...Ch. 5 - An owner of a Ford Escort can drive 420 miles on...Ch. 5 - Prob. 50RECh. 5 - Prob. 51RECh. 5 - Prob. 52RECh. 5 - Prob. 53RECh. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Write each ratio as a fraction in simplest...Ch. 5 - Write each ratio as a fraction in simplest...Ch. 5 - Write each ratio as a fraction in simplest form.
3...Ch. 5 - Prob. 60RECh. 5 - Prob. 61RECh. 5 - Prob. 62RECh. 5 - Prob. 63RECh. 5 - Prob. 64RECh. 5 - Prob. 65RECh. 5 - Prob. 66RECh. 5 - Prob. 67RECh. 5 - Find each unit price and decide which is the...Ch. 5 - Write each sentence as a proportion.
2 cups of...Ch. 5 - Write each sentence as a proportion.
5 nickels is...Ch. 5 - Prob. 71RECh. 5 - Prob. 72RECh. 5 - Prob. 73RECh. 5 - Prob. 74RECh. 5 - Prob. 75RECh. 5 - Prob. 76RECh. 5 - Prob. 77RECh. 5 - Prob. 78RECh. 5 - An investment of $1200 yields $152 each year.
At...Ch. 5 - An investment of $1200 yields $152 each year.
At...Ch. 5 - Exercises 1 through 8 are Multiple Choice. Choose...Ch. 5 - Prob. 2GRTCh. 5 - Prob. 3GRTCh. 5 - Prob. 4GRTCh. 5 - Prob. 5GRTCh. 5 - Prob. 6GRTCh. 5 - Prob. 7GRTCh. 5 - Prob. 8GRTCh. 5 - Prob. 1TCh. 5 - Write each ratio or rate as a fraction in simplest...Ch. 5 - Write each ratio or rate as a fraction in simplest...Ch. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - Prob. 26TCh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - Prob. 15CRCh. 5 - Prob. 16CRCh. 5 - Prob. 17CRCh. 5 - Prob. 18CRCh. 5 - Prob. 19CRCh. 5 - Prob. 20CRCh. 5 - Prob. 21CRCh. 5 - Prob. 22CRCh. 5 - Prob. 23CRCh. 5 - Prob. 24CRCh. 5 - Subtract:
Ch. 5 - Subtract:
Ch. 5 - Prob. 27CRCh. 5 - Prob. 28CRCh. 5 - Prob. 29CRCh. 5 - Prob. 30CRCh. 5 - Prob. 31CRCh. 5 - Prob. 32CRCh. 5 - Prob. 33CRCh. 5 - Write “seventy-five thousandths” in standard...Ch. 5 -
Round 736.2359 to the nearest tenth.
Ch. 5 - Round 736.2359 to the nearest thousandth.
Ch. 5 - Prob. 37CRCh. 5 - Prob. 38CRCh. 5 - Prob. 39CRCh. 5 - Prob. 40CRCh. 5 - Prob. 41CRCh. 5 - Prob. 42CRCh. 5 - Prob. 43CRCh. 5 - Find the unknown number n.
Ch. 5 - Write the numbers in order from smallest to...Ch. 5 - Write the rate as a unit rate. 700 meters in 5...Ch. 5 - Prob. 47CRCh. 5 - Prob. 48CRCh. 5 - Prob. 49CRCh. 5 - Prob. 50CR
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- 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. c. What is the probability that a person…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardrounded to two decimal places at each calculationarrow_forward
- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardA psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. x f(x) for x = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(x) ≥0 Σf(x) = 1 (5.1) (5.2) Does this probability distribution satisfy equation (5.1)? Select Does this probability distribution satisfy equation (5.2)? Select b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?arrow_forward
- A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardWest 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 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 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 yeararrow_forwardUse Variation of Parameters to solvearrow_forward
- Use the method of washers to find the volume of the solid that is obtained when the region between the graphs f(x) = √√2 and g(x) = secx over the interval ≤x≤ is rotated about the x-axis.arrow_forward5 Use the method of disks to find the volume of the solid that is obtained when the region under the curve y = over the interval [4,17] is rotated about the x-axis.arrow_forward3. Use the method of washers to find the volume of the solid that is obtained when the region between the graphs f(x) = √√2 and g(x) = secx over the interval ≤x≤ is rotated about the x-axis.arrow_forward
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