Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
13th Edition
ISBN: 9780321945525
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 21RE
Retail sales. The daily number of bad checks received by a large department store in a random sample of
(A) Mean
(B) Median
(C) Mode
(D) Standard deviation
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If u use any type of chatgpt, will.downvote.
A function is defined on the interval (-π/2,π/2) by this multipart rule:
if -π/2 < x < 0
f(x) =
a
if x=0
31-tan x
+31-cot x
if 0 < x < π/2
Here, a and b are constants. Find a and b so that the function f(x) is continuous at x=0.
a=
b= 3
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
f(x) = (x + 4x4) 5,
a = -1
lim f(x)
X--1
=
lim
x+4x
X--1
lim
X-1
4
x+4x
5
))"
5
))
by the power law
by the sum law
lim (x) + lim
X--1
4
4x
X-1
-(0,00+(
Find f(-1).
f(-1)=243
lim (x) +
-1 +4
35
4 ([
)
lim (x4)
5
x-1
Thus, by the definition of continuity, f is continuous at a = -1.
by the multiple constant law
by the direct substitution property
Chapter 11 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Ch. 11.1 - Using Figure 3, estimate the median annual income...Ch. 11.1 - Using Figure 6,estimate the revenue and costs in...Ch. 11.1 - Repeat Example 1 for the following intervals: (A)...Ch. 11.1 - The weights (in pounds) were recorded for 20...Ch. 11.1 - (A) Construct a frequency table and histogram for...Ch. 11.1 - (A) Construct a frequency table and histogram for...Ch. 11.1 - The graphing calculator command shown in Figure A...Ch. 11.1 - An experiment consists of rolling a pair of...Ch. 11.1 - Gross domestic product. Graph the data in the...Ch. 11.1 - Corporation revenues. Graph the data in the...
Ch. 11.1 - Gold production. Use the double bar graph on world...Ch. 11.1 - Gasoline prices. Graph the data in the following...Ch. 11.1 - Railroad Freight. Graph the data in the following...Ch. 11.1 - Railroad freight. Refer to Problem 9. If the data...Ch. 11.1 - Federal income. Graph the data in the following...Ch. 11.1 - Gasoline prices. In December 2012, the average...Ch. 11.1 - Starting salaries. The starting salaries (in...Ch. 11.1 - Commute times. Thirty-two people were chosen at...Ch. 11.1 - Common stocks. The following table shows...Ch. 11.1 - Mouse weights. One hundred healthy mice were...Ch. 11.1 - Population growth. Graph the data in the following...Ch. 11.1 - Aims epidemic. One way to gauge the toll of the...Ch. 11.1 - Nutrition. Graph the data in the following table...Ch. 11.1 - Greenhouse gases. The U.S. Department of Energy...Ch. 11.1 - Nutrition. Graph the nutritional information in...Ch. 11.1 - Nutrition. Refer to Problem 21. Suppose that you...Ch. 11.1 - Education. For statistical studies, U.S. states...Ch. 11.1 - Study abroad. Would a pie graph be more effective...Ch. 11.1 - Median age. Use the broken-line graph shown to...Ch. 11.1 - State prisoners. In 1980 in the United States, 6...Ch. 11.1 - Grade point Averages. One hundred seniors were...Ch. 11.2 - For many sets of measurements the median lies...Ch. 11.2 - Find the mean for the sample measurements...Ch. 11.2 - Compute the mean for the grouped sample data...Ch. 11.2 - Add the salary $100,000 to those in Example 3 and...Ch. 11.2 - Find the median for the grouped data in the...Ch. 11.2 - Compute the mode(s), median, and mean for each...Ch. 11.2 - In Problems 1-4, find the mean of the data set....Ch. 11.2 - In Problems 1-4, find the mean of the data set....Ch. 11.2 - In Problems 1-4, find the mean of the data set....Ch. 11.2 - In Problems 1-4, find the mean of the data set....Ch. 11.2 - In Problems 5-8, find the indicated sum. (If...Ch. 11.2 - In Problems 5-8, find the indicated sum. (If...Ch. 11.2 - In Problems 5-8, find the indicated sum. (If...Ch. 11.2 - In Problems 5-8, find the indicated sum. (If...Ch. 11.2 - Find the mean, median, and mode for the sets of...Ch. 11.2 - Find the mean, median, and mode for the sets of...Ch. 11.2 - Find the mean, median, and/or mode, whichever are...Ch. 11.2 - Find the mean, median, and/or mode, whichever are...Ch. 11.2 - Find the mean for the sets of grouped data in...Ch. 11.2 - Find the mean for the sets of grouped data in...Ch. 11.2 - Which single measure of central tendency-mean,...Ch. 11.2 - Which single measure of central tendency mean,...Ch. 11.2 - A data set is formed by recording the results of...Ch. 11.2 - A data set is formed by recording the sums on 200...Ch. 11.2 - (A) Construct a set of four numbers that has mean...Ch. 11.2 - (A) Construct a set of five numbers that has mean...Ch. 11.2 - Price earnings ratios. Find the mean, median, and...Ch. 11.2 - Gasoline tax. Find the mean, median, and mode for...Ch. 11.2 - Light bulb lifetime. Find the mean and median for...Ch. 11.2 - Price earnings ratios. Find the mean and median...Ch. 11.2 - Financial aid. Find the mean, median, and mode for...Ch. 11.2 - Tourism. Find the mean, median, and mode for the...Ch. 11.2 - Mouse weights. Find the mean and median for the...Ch. 11.2 - Blood cholesterol levels. Find the mean and median...Ch. 11.2 - Immigration. Find the mean, median, and mode for...Ch. 11.2 - Grade point averages. Find the mean and median for...Ch. 11.2 - Entrance examination scores. Compute the median...Ch. 11.2 - Presidents. Find the mean and median for the...Ch. 11.3 - (A) When is the sample standard deviation of a set...Ch. 11.3 - Find the standard deviation for the sample...Ch. 11.3 - Find the standard deviation for the grouped sample...Ch. 11.3 - Prob. 1ECh. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - In Problems 1-8, find the indicated sum. (If...Ch. 11.3 - (A) Find set of the ungrouped mean and sample...Ch. 11.3 - (A) Find the mean and standard deviation of the...Ch. 11.3 - In Problems 11 and 12, find the standard deviation...Ch. 11.3 - In Problems 11 and 12, find the standard deviation...Ch. 11.3 - In Problems 13-18, discuss the validity of each...Ch. 11.3 - In Problems 13-18, discuss the validity of each...Ch. 11.3 - In Problems 13-18, discuss the validity of each...Ch. 11.3 - In Problem 1318, discuss the validity of each...Ch. 11.3 - In Problem 1318, discuss the validity of each...Ch. 11.3 - In Problems 13-18, discuss the validity of each...Ch. 11.3 - A data set is formed by recording the sums in 100...Ch. 11.3 - A data set is formed by recording the results of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.3 - Find the mean and standard deviation for each of...Ch. 11.4 - Find p and q for a single roll of a fair die,...Ch. 11.4 - In Example 2, find the probability of the outcome...Ch. 11.4 - Using the same die experiment as in Example 3,...Ch. 11.4 - Use the binomial formula to expand q+p4.Ch. 11.4 - Repeat Example 5, where the binomial experiment...Ch. 11.4 - Compute the mean and standard deviation for the...Ch. 11.4 - Repeat Example 7 for four patients. The...Ch. 11.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 11.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 11.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 11.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 11.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 11.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 11.4 - In Problems 7-12, a fair coin is tossed four...Ch. 11.4 - In Problems 7-12, a fair coin is tossed four...Ch. 11.4 - In Problems 7-12, a fair coin is tossed four...Ch. 11.4 - In Problems 7-12, a fair coin is tossed four...Ch. 11.4 - In Problems 7-12, a fair coin is tossed four...Ch. 11.4 - In Problems 7-12, a fair coin is tossed four...Ch. 11.4 - In Problems 13-18 construct a histogram for the...Ch. 11.4 - In Problems 13-18 construct a histogram for the...Ch. 11.4 - In Problems 13-18 construct a histogram for the...Ch. 11.4 - In Problems 13-18 construct a histogram for the...Ch. 11.4 - In Problems 13-18 construct a histogram for the...Ch. 11.4 - In Problems 13-18 construct a histogram for the...Ch. 11.4 - In Problems 19-24, round answers to four decimal...Ch. 11.4 - In Problems 19-24, round answers to four decimal...Ch. 11.4 - In Problems 19-24, round answers to four decimal...Ch. 11.4 - In Problems 19-24, round answers to four decimal...Ch. 11.4 - In Problems 19-24, round answers to four decimal...Ch. 11.4 - In Problems 19-24, a fair die is rolled three...Ch. 11.4 - If a baseball player has a batting average of 350...Ch. 11.4 - If a true-false test with 10 questions is given,...Ch. 11.4 - A multiple-choice test consists of 10 questions,...Ch. 11.4 - If 60 of the electorate supports the mayor, what...Ch. 11.4 - Construct a histogram for each of the binomial...Ch. 11.4 - Construct a histogram for each of the binomial...Ch. 11.4 - Construct a histogram for each of the binomial...Ch. 11.4 - Construct a histogram for each of the binomial...Ch. 11.4 - A random variable represents the number of...Ch. 11.4 - A random variable represents the number of...Ch. 11.4 - In Problems 35 and 36 a coin is loaded so that the...Ch. 11.4 - In Problems 35 and 36 a coin is loaded so that the...Ch. 11.4 - Find conditions on p that guarantee the histogram...Ch. 11.4 - Consider two binomial distributions for 1,000...Ch. 11.4 - A random variable represents the number of heads...Ch. 11.4 - A random variable represents the number of times a...Ch. 11.4 - Management training each year a company selects a...Ch. 11.4 - Employee turnover. If the probability of a new...Ch. 11.4 - Quality control A manufacturing process produces,...Ch. 11.4 - Guarantees. A manufacturing process produces, on...Ch. 11.4 - Quality control. A manufacturing process produces,...Ch. 11.4 - Management training. Each year a company selects 5...Ch. 11.4 - Medical diagnosis A tuberculosis patient is given...Ch. 11.4 - Harmful drug side effect. A pharmaceutical...Ch. 11.4 - Genetics. The probability that brown-eyed parents,...Ch. 11.4 - Gene mutation the probability of gene mutation...Ch. 11.4 - Epidemics. If the probability of a person...Ch. 11.4 - Drug side effect the probability that a given drug...Ch. 11.4 - Testing A multiple-choice test is given with 5...Ch. 11.4 - Opinion polls. An opinion poll based on a small...Ch. 11.4 - Testing. A multiple-choice test is given with 5...Ch. 11.4 - Sociology. The probability that a marriage will...Ch. 11.4 - Sociology. If the probability is .55 that a...Ch. 11.5 - What percentage of the light bulbs in Example 1...Ch. 11.5 - Refer to Example 1. What is the probability that a...Ch. 11.5 - In Example 3, Use the normal curve to approximate...Ch. 11.5 - Suppose in Example 4 that the manufacturing...Ch. 11.5 - In Problems 1-6, use Appendix C to find the area...Ch. 11.5 - In Problems 1-6, use Appendix C to find the area...Ch. 11.5 - In Problems 1-6, use Appendix C to find the area...Ch. 11.5 - In Problems 1-6, use Appendix C to find the area...Ch. 11.5 - In Problems 1-6, use Appendix C to find the area...Ch. 11.5 - In Problems 1-6, use Appendix C to find the area...Ch. 11.5 - Give a normal distribution with mean 100 and...Ch. 11.5 - Give a normal distribution with mean 100 and...Ch. 11.5 - Give a normal distribution with mean 100 and...Ch. 11.5 - Give a normal distribution with mean 100 and...Ch. 11.5 - Give a normal distribution with mean 100 and...Ch. 11.5 - Give a normal distribution with mean 100 and...Ch. 11.5 - Using the normal distribution described for...Ch. 11.5 - Using the normal distribution described for...Ch. 11.5 - Using the normal distribution described for...Ch. 11.5 - Using the normal distribution described for...Ch. 11.5 - Using the normal distribution described for...Ch. 11.5 - Using the normal distribution described for...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - Consider the normal distribution with mean 60 and...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - In Problems 27-34, consider the normal...Ch. 11.5 - In Problems 35-40, discuss the validity of each...Ch. 11.5 - In Problems 35-40, discuss the validity of each...Ch. 11.5 - In Problems 35-40, discuss the validity of each...Ch. 11.5 - In Problems 35-40, discuss the validity of each...Ch. 11.5 - In Problems 35-40, discuss the validity of each...Ch. 11.5 - In Problems 35-40, discuss the validity of each...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 11.5 - The probability of success in a Bernoulli trial is...Ch. 11.5 - For a binomial distribution with n=100, explain...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - A binomial experiment consists of 500 trials. The...Ch. 11.5 - To graph Problems 59-62, use a graphing calculator...Ch. 11.5 - To graph Problems 59-62, use a graphing calculator...Ch. 11.5 - To graph Problems 59-62, use a graphing calculator...Ch. 11.5 - To graph Problems 59-62, use a graphing calculator...Ch. 11.5 - (A) If 120 scores are chosen from a normal...Ch. 11.5 - (A) If 250 scores are chosen from a normal...Ch. 11.5 - Sales Salespeople for a solar technology company...Ch. 11.5 - Guarantees. The average lifetime for a car battery...Ch. 11.5 - Quality control. A manufacturing process produces...Ch. 11.5 - Quality control. An automated manufacturing...Ch. 11.5 - Marketing claims. A company claims that 60 of the...Ch. 11.5 - Labor relation A union representative 60 claims of...Ch. 11.5 - Medicine. The average healing time of a certain...Ch. 11.5 - Agriculture. The average height of a hay crop is...Ch. 11.5 - Genetics. In a family with 2 children, the...Ch. 11.5 - Genetics. In Problem 73, what is the approximate...Ch. 11.5 - Testing. Scholastic Aptitude Tests (SATs) are...Ch. 11.5 - Politics. Candidate Harkins claims that she will...Ch. 11.5 - Grading on a curve. An instructor grades on a...Ch. 11.5 - Psychology. A test devised to measure...Ch. 11 - Graph the following data using a bar graph and a...Ch. 11 - Graph the data in the following table using two...Ch. 11 - (A) Draw a histogram for the binomial distribution...Ch. 11 - For the set of sample measurements...Ch. 11 - If a normal distribution has a mean of 100 and a...Ch. 11 - Given the sample of 25 quiz scores listed in the...Ch. 11 - For the set of grouped sample data given in the...Ch. 11 - (A) Construct a histogram for the binomial...Ch. 11 - What are the mean and standard deviation for a...Ch. 11 - In Problems 10 and 11, discuss the validity of...Ch. 11 - In Problems 10 and 11, discuss the validity of...Ch. 11 - If the probability of success in a single trial of...Ch. 11 - Given a normal distribution with mean 50 and...Ch. 11 - A data set is formed by recording the sums of 100...Ch. 11 - For the sample quiz scores in Problem 6, find the...Ch. 11 - A fair die is rolled five times. What is the...Ch. 11 - Two dice are rolled three times. What is the...Ch. 11 - Ten students take an exam worth 100 points. (A)...Ch. 11 - In the last presidential election, 39 of a city’s...Ch. 11 - A random variable represents the number of wins in...Ch. 11 - Retail sales. The daily number of bad checks...Ch. 11 - Preference survey. Find the mean, median, and/or...Ch. 11 - Plant safety. The weekly record of reported...Ch. 11 - Personnel screening.The scores on a screening test...Ch. 11 - Market research A newspaper publisher claims that...Ch. 11 - Health care. A small town has three doctors on...
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