A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Chapter 12.6, Problem 38E
a.
To determine
The
b.
To determine
Whether the correlation exists at
c.
To determine
The equation of the line of best fit for the weight of a car and the fuel efficiency.
d.
To determine
To estimate: The fuel efficiency of a car that weight is
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Chapter 12 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...Ch. 12.1 - In Exercises 1-10, fill in the blank with an...
Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Sampling Techniques In Exercises 11-20, identify...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Prob. 28ECh. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Prob. 32ECh. 12.1 - Misinterpretations of Statistics In Exercises...Ch. 12.1 - Prob. 34ECh. 12.1 - Pricee of a Movie Ticket The following table shows...Ch. 12.1 - International Visitors to the United States The...Ch. 12.1 - First Marriage In Exercises 37 and 38, use the...Ch. 12.1 - First Marriage In Exercises 37 and 38, use the...Ch. 12.1 - Smart TVs The following graph shows the percent of...Ch. 12.1 - Prob. 40ECh. 12.1 - Driving The following circle graph shows the...Ch. 12.1 - Prob. 42ECh. 12.1 - Data from Questionnaire Some subscribers of...Ch. 12.1 - Prob. 44ECh. 12.1 - Statistically speaking, what is the most dangerous...Ch. 12.2 - In Exercises 1-8, fill in the blank with an...Ch. 12.2 - In Exercises 1-8, fill in the blank with an...Ch. 12.2 - In Exercises 1-8, fill in the blank with an...Ch. 12.2 - In Exercises 1-8, fill in the blank with an...Ch. 12.2 - In Exercises 1-8, fill in the blank with an...Ch. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - In Exercises 1-8, fill in the blank with an...Ch. 12.2 - In Exercises 9 and 10, use the frequency...Ch. 12.2 - In Exercises 9 and 10, use the frequency...Ch. 12.2 - Visits to the Library Valencia College is planning...Ch. 12.2 - Hot Dog Sales A hot dog vendor is interested in...Ch. 12.2 - Newspaper Circulation In Exercises 13-16, use the...Ch. 12.2 - Newspaper Circulation In Exercises 13-16, use the...Ch. 12.2 - Newspaper Circulation In Exercises 13-16, use the...Ch. 12.2 - Prob. 16ECh. 12.2 - City Population In Exercises 17-20, the data...Ch. 12.2 - City Population In Exercises 17-20, the data...Ch. 12.2 - City Population In Exercises 17-20, the data...Ch. 12.2 - City Population In Exercises 17-20, the data...Ch. 12.2 - Cost of Living In Exercises 21-24, the data in the...Ch. 12.2 - Cost of Living In Exercises 21-24, the data in the...Ch. 12.2 - Cost of Living In Exercises 21-24, the data in the...Ch. 12.2 - Cost of Living In Exercises 21-24, the data in the...Ch. 12.2 - Jogging Distances Twenty members of a health club...Ch. 12.2 - College Credits Eighteen students in a geology...Ch. 12.2 - Vehicle Sales The following table shows the sales...Ch. 12.2 - In Exercises 27-30, pat c), construct the...Ch. 12.2 - In Exercises 27-30, pat c), construct the...Ch. 12.2 - In Exercises 27-30, pat c), construct the...Ch. 12.2 - Number of Televisions per Home Use the histogram...Ch. 12.2 - Car Insurance Use the histogram below to answer...Ch. 12.2 - E mail Messages Use the frequency polygon below to...Ch. 12.2 - Prob. 34ECh. 12.2 - College Costs The 2014 cost for Virginia residents...Ch. 12.2 - Automobile Accessories A sample of 600 people were...Ch. 12.2 - Prob. 37ECh. 12.2 - a. Count the number of Fs in the sentence at the...Ch. 12.2 - In what month do people take the least number of...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 1-10, fill in the blank with an...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - In Exercises 11-20, determine the mean, median,...Ch. 12.3 - Cholesterol Level The total cholesterol level of...Ch. 12.3 - Daily Tips The amount of money Stephanie collected...Ch. 12.3 - Change in the Data The mean is the most sensitive...Ch. 12.3 - Prob. 24ECh. 12.3 - A Grade of B To get a grade of B, a student must...Ch. 12.3 - Employee Salaries The salaries of 10 employees of...Ch. 12.3 - Chocolate Consumption The 10 countries with the...Ch. 12.3 - Living Expenses Bobs monthly living expenses for 1...Ch. 12.3 - Employment Websites The top 10 employment websites...Ch. 12.3 - Exam Average Malcolms mean average on five exams...Ch. 12.3 - Exam Average Jeremys mean average on six exams is...Ch. 12.3 - Creating a Data Set Construct a set of five pieces...Ch. 12.3 - Creating a Data Set Construct a set of six pieces...Ch. 12.3 - Prob. 34ECh. 12.3 - Water Park For the 2015 season, 35,000 people...Ch. 12.3 - A Grade of B A mean average of 80 or greater for...Ch. 12.3 - Grading Methods A mean average of 60 on seven...Ch. 12.3 - Central Tendencies Which of the measures of...Ch. 12.3 - Creating a Data Set Construct a set of six pieces...Ch. 12.3 - Prob. 40ECh. 12.3 - Changing One Piece of Data Is it possible to...Ch. 12.3 - Prob. 42ECh. 12.3 - Percentiles For any set of data, what must be done...Ch. 12.3 - Percentiles Josie scored in the 73rd percentile on...Ch. 12.3 - Percentiles When a national sample of heights of...Ch. 12.3 - Prob. 46ECh. 12.3 - Quartiles The prices of the 19 top-rated coffee...Ch. 12.3 - Quartiles The prices of the 19 top-rated...Ch. 12.3 - The 50th Percentile Give the names of two other...Ch. 12.3 - College Admissions Jonathan took an admission test...Ch. 12.3 - Employee Salaries The following statistics...Ch. 12.3 - Prob. 52ECh. 12.3 - Ruth Versus Mantle The tables below compare the...Ch. 12.3 - Prob. 54ECh. 12.3 - Weighted Average In Exercises 55 and 56 we use...Ch. 12.3 - Grade Point Average In a four-point grade system,...Ch. 12.3 - Average of Your Exams a. Calculate the mean,...Ch. 12.3 - Purchases Matthew purchased some items at Staples...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 1-6, fill in the blank with an...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 7-14, determine the range and...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - In Exercises 15-20, where appropriate, round...Ch. 12.4 - Prob. 20ECh. 12.4 - a. Multiplying Each Number Pick any five numbers....Ch. 12.4 - Waiting in Line Consider the following...Ch. 12.4 - Height and Weight Distribution The chart shown...Ch. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Without actually doing the calculations, decide...Ch. 12.4 - Without actually doing the calculations, decide...Ch. 12.4 - Prob. 28ECh. 12.4 - Patricia teaches two statistics classes, one in...Ch. 12.4 - Prob. 30ECh. 12.4 - Oil Change Jiffy Lube has franchises in two...Ch. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 1-10, fill in the blank with an...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - In Exercises 11-14, give an example of the type of...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - For the distributions in Exercises 15-18, state...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 20ECh. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 27ECh. 12.5 - Prob. 28ECh. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 19-30, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 32ECh. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - In Exercises 31-40, use Table 12.8 on pages 772...Ch. 12.5 - Prob. 38ECh. 12.5 - Prob. 39ECh. 12.5 - Prob. 40ECh. 12.5 - Heights of Gifts in Exercises 41 and 42, assume...Ch. 12.5 - Heights of Gifts in Exercises 41 and 42, assume...Ch. 12.5 - In Exercises 43-46, assume the hold time of...Ch. 12.5 - In Exercises 43-46, assume the hold time of...Ch. 12.5 - In Exercises 43-46, assume the hold time of...Ch. 12.5 - Prob. 46ECh. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - SAT Scores In Exercises 47-52, assume that the...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Vending Machine In Exercises 53-56, a vending...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - Automobile Speed In Exercises 57-62, assume that...Ch. 12.5 - In Exercises 63-66, assume that the weight of ripe...Ch. 12.5 - In Exercises 63-66, assume that the weight of ripe...Ch. 12.5 - In Exercises 63-66, assume that the weight of ripe...Ch. 12.5 - Prob. 66ECh. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Cost of Day Care In Exercises 67-72, assume the...Ch. 12.5 - Weight Loss A weight-loss clinic guarantees that...Ch. 12.5 - Battery Warranty The warranty on a car battery is...Ch. 12.5 - Prob. 75ECh. 12.5 - Prob. 76ECh. 12.5 - Consider the following normal curve, representing...Ch. 12.5 - Consider the following two normal curves. a. Do...Ch. 12.5 - In a distribution that is skewed to the right,...Ch. 12.5 - In a distribution skewed to the left, which has...Ch. 12.5 - List three populations other than those given in...Ch. 12.5 - List three populations other than those given in...Ch. 12.5 - Salesperson Promotion The owner at Kims Home...Ch. 12.5 - Chebyshevs Theorem How can you determine whether a...Ch. 12.5 - Test Scores Obtain a set of test your instructor....Ch. 12.5 - Determine a value of z such that z 0 and 97.5% of...Ch. 12.5 - Prob. 87ECh. 12.5 - Prob. 88ECh. 12.5 - Prob. 89ECh. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - In Exercises 1-6, fill in the blank with an...Ch. 12.6 - Prob. 6ECh. 12.6 - In Exercises 7-10, indicate if you believe that a...Ch. 12.6 - Prob. 8ECh. 12.6 - In Exercises 7-10, indicate if you believe that a...Ch. 12.6 - In Exercises 7-10, indicate if you believe that a...Ch. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - Prob. 14ECh. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - Prob. 16ECh. 12.6 - In Exercises 11-18, assume that a sample of...Ch. 12.6 - Prob. 18ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - Prob. 20ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - Prob. 22ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - Prob. 24ECh. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - In Exercises 19-26, (a) draw a scatter diagram;...Ch. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - Prob. 29ECh. 12.6 - Prob. 30ECh. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - Prob. 32ECh. 12.6 - In Exercises 27-34, determine the equation of the...Ch. 12.6 - Prob. 34ECh. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - Prob. 38ECh. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - Prob. 40ECh. 12.6 - Prob. 41ECh. 12.6 - Prob. 42ECh. 12.6 - In Exercises 35-44, round both m and b the nearest...Ch. 12.6 - Prob. 44ECh. 12.6 - Prob. 45ECh. 12.6 - Prob. 46ECh. 12.6 - Calculating a Correlation Coefficient a. Select a...Ch. 12.6 - CPI Use the following table CPI represents...Ch. 12.6 - Prob. 49ECh. 12 - a. What is a population? b. What is a sample?Ch. 12 - What is a random sample?Ch. 12 - In Exercises 3 and 4, tell what possible misuses...Ch. 12 - In Exercises 3 and 4, tell what possible misuses...Ch. 12 - Netflix Subscriptions in the United States In...Ch. 12 - Consider the following set of data. a. Construct a...Ch. 12 - Average Monthly High Temperature Consider the...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 8-13, use the following test scores:...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - In Exercises 14-19, for the set of data 9, 10, 17,...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Police Response Time In Exercises 20-24, assume...Ch. 12 - Prob. 24RECh. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Pizza Delivery In Exercises 25-28, assume that the...Ch. 12 - Prob. 29RECh. 12 - Daily Sales For six weeks, Ace Hardware records...Ch. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Men's Weight In Exercises 3138, use the data on...Ch. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Prob. 36RECh. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Prob. 44RECh. 12 - Prob. 45RECh. 12 - Prob. 46RECh. 12 - Presidential Children For Exercises 39-50, use the...Ch. 12 - Prob. 48RECh. 12 - Prob. 49RECh. 12 - Prob. 50RECh. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 1-6, for the set of data 27, 43, 43,...Ch. 12 - In Exercises 7-9, use the set of data 7. a...Ch. 12 - In Exercises 7-9, use the set of data 8. a...Ch. 12 - In Exercises 7-9, use the set of data 9. a...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Statistics on Salaries In Exercises 10-15, use the...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Anthropology In Exercises 16-19, assume that...Ch. 12 - Time Spent Studying Six students provided the...
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- Can you show me a step by step explanation please.arrow_forward2. A tank with a capacity of 650 gal. originally contains 200 gal of water with 100 lb. of salt in solution. Water containing 1 lb. of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 3 gal/min. a. Find the amount of salt in the tank at any time prior to the instant when the tank begins to overflow (650 gallons). b. Find the concentration (in pounds per gallon) of salt in the tank when the tank hits 400 gallons. D.E. for mixture problems: dv dt=11-12 dA A(t) dtarrow_forward- Suppose that you have the differential equation: dy = (y - 2) (y+3) dx a. What are the equilibrium solutions for the differential equation? b. Where is the differential equation increasing or decreasing? Show how you know. Showing them on the drawing is not enough. c. Where are the changes in concavity for the differential equation? Show how you know. Showing them on the drawing is not enough. d. Consider the slope field for the differential equation. Draw solution curves given the following initial conditions: i. y(0) = -5 ii. y(0) = -1 iii. y(0) = 2arrow_forward
- 5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I purposefully removed the units- don't worry about them. Assume no conversions are needed.) a) Find the equation for the displacement of the spring mass at time t. b) Write the equation for the displacement of the spring mass in phase-mode form. c) Characterize the damping of the spring mass system as overdamped, underdamped or critically damped. Explain how you know. D.E. for Spring Mass Systems k m* g = kLo y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo m 2 A₁ = √c₁² + C₂² Q = tan-1arrow_forward4. Given the following information determine the appropriate trial solution to find yp. Do not solve the differential equation. Do not find the constants. a) (D-4)2(D+ 2)y = 4e-2x b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3xarrow_forward9.7 Given the equations 0.5x₁-x2=-9.5 1.02x₁ - 2x2 = -18.8 (a) Solve graphically. (b) Compute the determinant. (c) On the basis of (a) and (b), what would you expect regarding the system's condition? (d) Solve by the elimination of unknowns. (e) Solve again, but with a modified slightly to 0.52. Interpret your results.arrow_forward
- 3. Determine the appropriate annihilator for the given F(x). a) F(x) = 5 cos 2x b) F(x)=9x2e3xarrow_forward12.42 The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 0= FT T + 200°C 25°C 25°C T22 0°C T₁ T21 200°C FIGURE P12.42 75°C 75°C 00°C If the plate is represented by a series of nodes (Fig. P12.42), cen- tered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Fig. P12.42.arrow_forward9.22 Develop, debug, and test a program in either a high-level language or a macro language of your choice to solve a system of equations with Gauss-Jordan elimination without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the program using the same system as in Prob. 9.18. Compute the total number of flops in your algorithm to verify Eq. 9.37. FIGURE 9.10 Pseudocode to implement the Gauss-Jordan algorithm with- out partial pivoting. SUB GaussJordan(aug, m, n, x) DOFOR k = 1, m d = aug(k, k) DOFOR j = 1, n aug(k, j) = aug(k, j)/d END DO DOFOR 1 = 1, m IF 1 % K THEN d = aug(i, k) DOFOR j = k, n aug(1, j) END DO aug(1, j) - d*aug(k, j) END IF END DO END DO DOFOR k = 1, m x(k) = aug(k, n) END DO END GaussJordanarrow_forward
- 11.9 Recall from Prob. 10.8, that the following system of equations is designed to determine concentrations (the e's in g/m³) in a series of coupled reactors as a function of amount of mass input to each reactor (the right-hand sides are in g/day): 15c3cc33300 -3c18c26c3 = 1200 -4c₁₂+12c3 = 2400 Solve this problem with the Gauss-Seidel method to & = 5%.arrow_forward9.8 Given the equations 10x+2x2-x3 = 27 -3x-6x2+2x3 = -61.5 x1 + x2 + 5x3 = -21.5 (a) Solve by naive Gauss elimination. Show all steps of the compu- tation. (b) Substitute your results into the original equations to check your answers.arrow_forwardTangent planes Find an equation of the plane tangent to the following surfaces at the given points (two planes and two equations).arrow_forward
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