Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
14th Edition
ISBN: 9780134677972
Author: Barnett
Publisher: PEARSON
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Textbook Question
Chapter 10.3, Problem 24E
Find the mean and standard deviation for each of the sample data sets given in Problems 21-28.
Use the suggestions in the remarks following Examples 1 and 2 to perform some of the computations.
Stock analysis. The price-earnings ratios of
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3) Let R be a set of real number and d:R2 R R such that
d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W
Use a graph of f to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. Complete parts (a) and (b).
x-a
f(x)=
1 - cos (4x-4)
3(x-1)²
; a = 1
a. Use a graphing utility to graph f. Select the correct graph below..
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B.
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Use the graphing utility to estimate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
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○ A. The limit appears to be approximately ☐ .
(Round to the nearest tenth as needed.)
B. The limit does not exist.
b. Evaluate f(x) for values of x near 1 to support your conjecture.
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1.001
1.01
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Does the table from the previous step support your conjecture?
A. No, it does not. The function f(x) approaches a different value in the table of values than in the graph, after the approached values are rounded to the…
x²-19x+90
Let f(x) =
.
Complete parts (a) through (c) below.
x-a
a. For what values of a, if any, does lim f(x) equal a finite number? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x→a+
○ A.
a=
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There are no values of a for which the limit equals a finite number.
b. For what values of a, if any, does lim f(x) = ∞o? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
A.
(Type integers or simplified fractions)
C. There are no values of a that satisfy lim f(x) = ∞.
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x-a
c. For what values of a, if any, does lim f(x) = -∞0? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
A. Either a
(Type integers or simplified fractions)
B.
Chapter 10 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Ch. 10.1 - (A) Using Figure 3, estimate the median annual...Ch. 10.1 - (A) Using Figure 6 estimate the revenue and costs...Ch. 10.1 - Repeat Example 1 for the following intervals: (A)...Ch. 10.1 - The weights (in pounds) were recorded for 20...Ch. 10.1 - (A) Construct a frequency table and histogram for...Ch. 10.1 - (A) Construct a frequency table and histogram for...Ch. 10.1 - Gross domestic product. Graph the data in the...Ch. 10.1 - Corporation revenues. Graph the data in the...Ch. 10.1 - Gold production. Use the double bar graph on world...Ch. 10.1 - Gasoline prices .Graph the data in the following...
Ch. 10.1 - Postal service. Graph the data in the following...Ch. 10.1 - Postal service. Refer to Problem 9. If the data...Ch. 10.1 - Federal income. Graph the data in the following...Ch. 10.1 - Gasoline prices. In April 2017 the average price...Ch. 10.1 - Starting salaries. The starting salaries (in...Ch. 10.1 - Commute times. Thirty-two people were chosen at...Ch. 10.1 - Common stocks. The following table shows...Ch. 10.1 - Mouse weights. One hundred healthy mice were...Ch. 10.1 - Population growth. Graph the data in the following...Ch. 10.1 - Aims epidemic. One way to gauge the toll of the...Ch. 10.1 - Nutrition. Graph the data in the following table...Ch. 10.1 - Greenhouse gases. The U.S. Environmental...Ch. 10.1 - Nutrition. Graph the nutritional information in...Ch. 10.1 - Nutrition. Refer to Problem 21. Suppose that you...Ch. 10.1 - Education. For statistical studies, U.S. states...Ch. 10.1 - Study abroad. Would a pie graph be more effective...Ch. 10.1 - Median age. Use the broken-line graph shown to...Ch. 10.1 - State prisoners. In 1980 in the United States, 6...Ch. 10.1 - Grade point Averages. One hundred seniors were...Ch. 10.2 - For many sets of measurements the median lies...Ch. 10.2 - Find the mean for the sample measurements...Ch. 10.2 - Compute the mean for the grouped sample data...Ch. 10.2 - Add the salary $100,000 to those in Example 3 and...Ch. 10.2 - Find the median for the grouped data in the...Ch. 10.2 - Compute the mode(s), median, and mean for each...Ch. 10.2 - In Problems 1-4, find the mean of the data set....Ch. 10.2 - In Problems 1-4, find the mean of the data set....Ch. 10.2 - In Problems 1-4, find the mean of the data set....Ch. 10.2 - In Problems 1-4, find the mean of the data set....Ch. 10.2 - In Problems 5-8, find the indicated sum. (If...Ch. 10.2 - In Problems 5-8, find the indicated sum. (If...Ch. 10.2 - In Problems 5-8, find the indicated sum. (If...Ch. 10.2 - In Problems 5-8, find the indicated sum. (If...Ch. 10.2 - Find the mean, median, and mode for the sets of...Ch. 10.2 - Find the mean, median, and mode for the sets of...Ch. 10.2 - Find the mean, median, and/or mode, whichever are...Ch. 10.2 - Find the mean, median, and/or mode, whichever are...Ch. 10.2 - Find the mean for the sets of grouped data in...Ch. 10.2 - Find the mean for the sets of grouped data in...Ch. 10.2 - Which single measure of central tendency-mean,...Ch. 10.2 - Which single measure of central tendency mean,...Ch. 10.2 - A data set is formed by recording the results of...Ch. 10.2 - A data set is formed by recording the sums on 200...Ch. 10.2 - (A) Construct a set of four numbers that has mean...Ch. 10.2 - (A) Construct a set of five numbers that has mean...Ch. 10.2 - Price earnings ratios. Find the mean, median, and...Ch. 10.2 - Gasoline tax. Find the mean, median, and mode for...Ch. 10.2 - Light bulb lifetime. Find the mean and median for...Ch. 10.2 - Price earnings ratios. Find the mean and median...Ch. 10.2 - Student loan debt. Find the mean median, and mode...Ch. 10.2 - Tourism Find the mean, median, and mode for the...Ch. 10.2 - Mouse weights. Find the mean and median for the...Ch. 10.2 - Blood cholesterol levels. Find the mean and median...Ch. 10.2 - Immigration Find the mean, median, and mode for...Ch. 10.2 - Grade point averages. Find the mean and median for...Ch. 10.2 - Entrance examination scores. Compute the median...Ch. 10.2 - Presidents. Find the mean and median for the...Ch. 10.3 - (A) When is the sample standard deviation of a set...Ch. 10.3 - Find the standard deviation for the sample...Ch. 10.3 - Find the standard deviation for the grouped sample...Ch. 10.3 - Prob. 1ECh. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - In Problems 1-8, find the indicated sum. (If...Ch. 10.3 - (A) Find set of the ungrouped mean and sample...Ch. 10.3 - (A) Find the mean and standard deviation of the...Ch. 10.3 - In Problems 11 and 12, find the standard deviation...Ch. 10.3 - In Problems 11 and 12, find the standard deviation...Ch. 10.3 - In Problems 13-18, discuss the validity of each...Ch. 10.3 - In Problems 13-18, discuss the validity of each...Ch. 10.3 - In Problems 13-18, discuss the validity of each...Ch. 10.3 - In Problems 13-18, discuss the validity of each...Ch. 10.3 - In Problems 13-18, discuss the validity of each...Ch. 10.3 - In Problems 13-18, discuss the validity of each...Ch. 10.3 - A data set is formed by recording the sums in 100...Ch. 10.3 - A data set is formed by recording the results of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.3 - Find the mean and standard deviation for each of...Ch. 10.4 - Find p and q for a single roll of a fair die,...Ch. 10.4 - In Example 2, find the probability of the outcome...Ch. 10.4 - Using the same die experiment as in Example 3,...Ch. 10.4 - Use the binomial formula to expand q+p4.Ch. 10.4 - Repeat Example 5, where the binomial experiment...Ch. 10.4 - Compute the mean and standard deviation for the...Ch. 10.4 - Repeat Example 7 for four patients. The...Ch. 10.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 10.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 10.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 10.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 10.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 10.4 - Evaluate nCxpxqnx for the values of n,x, and p...Ch. 10.4 - In Problems 7-12, a fair coin is tossed four...Ch. 10.4 - In Problems 7-12, a fair coin is tossed four...Ch. 10.4 - In Problems 7-12, a fair coin is tossed four...Ch. 10.4 - In Problems 7-12, a fair coin is tossed four...Ch. 10.4 - In Problems 7-12, a fair coin is tossed four...Ch. 10.4 - In Problems 7-12, a fair coin is tossed four...Ch. 10.4 - In Problems 13-18 construct a histogram for the...Ch. 10.4 - In Problems 13-18 construct a histogram for the...Ch. 10.4 - In Problems 13-18 construct a histogram for the...Ch. 10.4 - In Problems 13-18 construct a histogram for the...Ch. 10.4 - In Problems 13-18 construct a histogram for the...Ch. 10.4 - In Problems 13-18 construct a histogram for the...Ch. 10.4 - In Problems 19-24, round answers to four decimal...Ch. 10.4 - In Problems 19-24, round answers to four decimal...Ch. 10.4 - In Problems 19-24, round answers to four decimal...Ch. 10.4 - In Problems 19-24, round answers to four decimal...Ch. 10.4 - In Problems 19-24, round answers to four decimal...Ch. 10.4 - In Problems 19-24, round answers to four decimal...Ch. 10.4 - If a baseball player has a batting average of 350...Ch. 10.4 - If a true-false test with 10 questions is given,...Ch. 10.4 - A multiple-choice test consists of 10 questions,...Ch. 10.4 - If 60 of the electorate supports the mayor, what...Ch. 10.4 - Construct a histogram for each of the binomial...Ch. 10.4 - Construct a histogram for each of the binomial...Ch. 10.4 - Construct a histogram for each of the binomial...Ch. 10.4 - Construct a histogram for each of the binomial...Ch. 10.4 - A random variable represents the number of...Ch. 10.4 - A random variable represents the number of...Ch. 10.4 - In Problems 35 and 36 a coin is loaded so that the...Ch. 10.4 - In Problems 35 and 36 a coin is loaded so that the...Ch. 10.4 - Find conditions on p that guarantee the histogram...Ch. 10.4 - Consider two binomial distributions for 1,000...Ch. 10.4 - A random variable represents the number of heads...Ch. 10.4 - A random variable represents the number of times a...Ch. 10.4 - Management training each year a company selects a...Ch. 10.4 - Employee turnover. If the probability of a new...Ch. 10.4 - Quality control A manufacturing process produces,...Ch. 10.4 - Guarantees. A manufacturing process produces, on...Ch. 10.4 - Quality control. A manufacturing process produces,...Ch. 10.4 - Management training. Each year a company selects 5...Ch. 10.4 - Medical diagnosis A tuberculosis patient is given...Ch. 10.4 - Harmful drug side effect. A pharmaceutical...Ch. 10.4 - Genetics. The probability that brown-eyed parents,...Ch. 10.4 - Gene mutation the probability of gene mutation...Ch. 10.4 - Epidemics. If the probability of a person...Ch. 10.4 - Drug side effect the probability that a given drug...Ch. 10.4 - Testing A multiple-choice test is given with 5...Ch. 10.4 - Opinion polls. An opinion poll based on a small...Ch. 10.4 - Testing. A multiple-choice test is given with 5...Ch. 10.4 - Sociology. The probability that a marriage will...Ch. 10.4 - Sociology. If the probability is .55 that a...Ch. 10.5 - What percentage of the light bulbs in Example 1...Ch. 10.5 - Refer to Example 1. What is the probability that a...Ch. 10.5 - In Example 3, Use the normal curve to approximate...Ch. 10.5 - Suppose in Example 4 that the manufacturing...Ch. 10.5 - In Problems 1-6, use Appendix C to find the area...Ch. 10.5 - In Problems 1-6, use Appendix C to find the area...Ch. 10.5 - In Problems 1-6, use Appendix C to find the area...Ch. 10.5 - In Problems 1-6, use Appendix C to find the area...Ch. 10.5 - In Problems 1-6, use Appendix C to find the area...Ch. 10.5 - In Problems 1-6, use Appendix C to find the area...Ch. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - Prob. 10ECh. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - In Problems 7-14, use Appendix C to find the area...Ch. 10.5 - In Problems 15-20, given a normal distribution...Ch. 10.5 - In Problems 15-20, given a normal distribution...Ch. 10.5 - In Problems 15-20, given a normal distribution...Ch. 10.5 - In Problems 15-20, given a normal distribution...Ch. 10.5 - In Problems 15-20, given a normal distribution...Ch. 10.5 - In Problems 15-20, given a normal distribution...Ch. 10.5 - In Problems 21.26, given a normal distribution...Ch. 10.5 - In Problems 21.26, given a normal distribution...Ch. 10.5 - In Problems 21.26, given a normal distribution...Ch. 10.5 - In Problems 21.26, given a normal distribution...Ch. 10.5 - In Problems 21.26, given a normal distribution...Ch. 10.5 - In Problems 21.26, given a normal distribution...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - Consider the normal distribution with mean 60 and...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - In Problems 27-34, consider the normal...Ch. 10.5 - In Problems 35-40, discuss the validity of each...Ch. 10.5 - In Problems 35-40, discuss the validity of each...Ch. 10.5 - In Problems 35-40, discuss the validity of each...Ch. 10.5 - In Problems 35-40, discuss the validity of each...Ch. 10.5 - In Problems 35-40, discuss the validity of each...Ch. 10.5 - In Problems 35-40, discuss the validity of each...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - In Problems 41-48, use the rule-of-thumb test to...Ch. 10.5 - The probability of success in a Bernoulli trial is...Ch. 10.5 - For a binomial distribution with n=100, explain...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - A binomial experiment consists of 500 trials. The...Ch. 10.5 - To graph Problems 59-62, use a graphing calculator...Ch. 10.5 - To graph Problems 59-62, use a graphing calculator...Ch. 10.5 - To graph Problems 59-62, use a graphing calculator...Ch. 10.5 - To graph Problems 59-62, use a graphing calculator...Ch. 10.5 - (A) If 120 scores are chosen from a normal...Ch. 10.5 - (A) If 250 scores are chosen from a normal...Ch. 10.5 - Sales Salespeople for a solar technology company...Ch. 10.5 - Guarantees. The average lifetime for a car battery...Ch. 10.5 - Quality control. A manufacturing process produces...Ch. 10.5 - Quality control. An automated manufacturing...Ch. 10.5 - Marketing claims. A company claims that 60 of the...Ch. 10.5 - Labor relation A union representative 60 claims of...Ch. 10.5 - Medicine. The average healing time of a certain...Ch. 10.5 - Agriculture. The average height of a hay crop is...Ch. 10.5 - Genetics. In a family with 2 children, the...Ch. 10.5 - Genetics. In Problem 73, what is the approximate...Ch. 10.5 - Testing. Scholastic Aptitude Tests (SATs) are...Ch. 10.5 - Politics. Candidate Harkins claims that she will...Ch. 10.5 - Grading on a curve. An instructor grades on a...Ch. 10.5 - Psychology. A test devised to measure...Ch. 10 - Use a bar graph and a broken-line graph to graph...Ch. 10 - Use a pie graph to graph the data on educational...Ch. 10 - (A) Draw a histogram for the binomial distribution...Ch. 10 - For the set of sample measurements...Ch. 10 - If a normal distribution has a mean of 100 and a...Ch. 10 - Given the sample of 25 quiz scores listed in the...Ch. 10 - For the set of grouped sample data given in the...Ch. 10 - (A) Construct a histogram for the binomial...Ch. 10 - What are the mean and standard deviation for a...Ch. 10 - In Problems 10 and 11, discuss the validity of...Ch. 10 - In Problems 10 and 11, discuss the validity of...Ch. 10 - If the probability of success in a single trial of...Ch. 10 - Given a normal distribution with mean 50 and...Ch. 10 - A data set is formed by recording the sums of 100...Ch. 10 - For the sample quiz scores in Problem 6, find the...Ch. 10 - A fair die is rolled five times. What is the...Ch. 10 - Two dice are rolled three times. What is the...Ch. 10 - Ten students take an exam worth 100 points. (A)...Ch. 10 - In the last presidential election, 39 of a city’s...Ch. 10 - A random variable represents the number of wins in...Ch. 10 - Retail sales. The daily number of bad checks...Ch. 10 - Preference survey. Find the mean, median, and/or...Ch. 10 - Plant safety. The weekly record of reported...Ch. 10 - Personnel screening.The scores on a screening test...Ch. 10 - Market research A newspaper publisher claims that...Ch. 10 - Health care. A small town has three doctors on...
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