Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780321947628
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11.5, Problem 58E
Guarantees. The average lifetime for a car battery is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(4) (8 points)
(a) (2 points) Write down a normal vector n for the plane P given by the equation
x+2y+z+4=0.
(b) (4 points) Find two vectors v, w in the plane P that are not parallel.
(c) (2 points) Using your answers to part (b), write down a parametrization r: R² —
R3 of the plane P.
(2) (8 points) Determine normal vectors for the planes given by the equations x-y+2z = 3
and 2x + z = 3. Then determine a parametrization of the intersection line of the two
planes.
(3) (6 points)
(a) (4 points) Find all vectors u in the yz-plane that have magnitude [u
also are at a 45° angle with the vector j = (0, 1,0).
= 1 and
(b) (2 points) Using the vector u from part (a) that is counterclockwise to j, find an
equation of the plane through (0,0,0) that has u as its normal.
Chapter 11 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (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...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Basis for the Range Rule of Thumb and the Empirical Rule. In Exercises 45–48, find the indicated area under the...
Elementary Statistics (13th Edition)
Solve the inequality 3x27 .
Precalculus
Heights Refer to the dotplot in the previous question. a. What is the height of a woman with a z-score of -1? b...
Introductory Statistics
Evaluate the integrals in Exercises 17–66.
43.
University Calculus: Early Transcendentals (4th Edition)
Mathematical Connections Explain why a number and a numeral are considered different.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- (1) (4 points) Give a parametrization c: R R³ of the line through the points P = (1,0,-1) and Q = (-2, 0, 1).arrow_forward7. Show that for R sufficiently large, the polynomial P(z) in Example 3, Sec. 5, satisfies the inequality |P(z)| R. Suggestion: Observe that there is a positive number R such that the modulus of each quotient in inequality (9), Sec. 5, is less than |an|/n when |z| > R.arrow_forward9. Establish the identity 1- 1+z+z² + 2n+1 ... +z" = 1- z (z1) and then use it to derive Lagrange's trigonometric identity: 1 1+ cos cos 20 +... + cos no = + 2 sin[(2n+1)0/2] 2 sin(0/2) (0 < 0 < 2л). Suggestion: As for the first identity, write S = 1+z+z² +...+z" and consider the difference S - zS. To derive the second identity, write z = eie in the first one.arrow_forward
- 8. Prove that two nonzero complex numbers z₁ and Z2 have the same moduli if and only if there are complex numbers c₁ and c₂ such that Z₁ = c₁C2 and Z2 = c1c2. Suggestion: Note that (i≤ exp (101+0) exp (01-02) and [see Exercise 2(b)] 2 02 Ꮎ - = = exp(i01) exp(101+0) exp (i 01 - 02 ) = exp(102). i 2 2arrow_forwardnumerical anaarrow_forward13. If X has the distribution function F(x) = 0 1 12 for x < -1 for -1x < 1 for 1x <3 2 3 for 3≤x≤5 4 1 for x≥5 find (a) P(X ≤3); (b) P(X = 3); (c) P(X < 3); (d) P(X≥1); (e) P(-0.4arrow_forwardTwo measurements are made of some quantity. For the first measurement, the average is 74.4528, the RMS error is 6.7441, and the uncertainty of the mean is 0.9264. For the second one, the average is 76.8415, the standard deviation is 8.3348, and the uncertainty of the mean is 1.1448. The expected value is exactly 75. 13. Express the first measurement in public notation. 14. Is there a significant difference between the two measurements? 1 15. How does the first measurement compare with the expected value? 16. How does the second measurement compare with the expected value?arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answer .arrow_forwardIf you use any chatgpt will downvote.arrow_forwardPlease help I'm a working mom trying to help my son last minute (6th grader)! Need help with the blank ones and check the ones he got with full calculation so we can use it to study! Especially the mixed number fractions cause I'm rusty. Thanks in advance!arrow_forward|| 38 5층-11- 6 4 7 2 6arrow_forward4. Consider the initial value problem y' = 3x(y-1) 1/3, y(xo) = yo. (a) For what points (co, yo) does the IVP have a solution? (b) For what points (xo, yo) does the IVP have a unique solution on some open interval that contains 20? (c) Solve the IVP y' = 3x(y-1) 1/3, y(0) = 9 and determine the largest open interval on which this solution is unique.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License