Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Textbook Question
Chapter 13, Problem 2T
Grade Point Average Use the 4.0 grading system:
A student’s grade point average (GPA) is calculated as a weighted mean, where the student’s grade in each
Course is given a weight equal to the number of units that course is worth. Find Justin’s GPA for the fall semester. Round to the nearest hundredth.
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Students have asked these similar questions
T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an
independent set and m(G) = |E(G)|.
(i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The
neighborhood of a vertex in a triangle free graph must be independent; all edges have at least
one end in a vertex cover.
(ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you
may need to use either elementary calculus or the arithmetic-geometric mean inequality.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
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5 6 7
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Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
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☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
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Let h(x, y, z)
=
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In (x) — z
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(a) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to x, 2 h(x, y, z).
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(b) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to y, 2 h(x, y, z).
Chapter 13 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 13.1 - Use linear interpolation to find the number that...Ch. 13.1 - Use linear interpolation to find the number that...Ch. 13.1 - A calculator shows that 21.414 and 31.732. Use...Ch. 13.1 - We know that 21=2 and 22=4 . Use linear...Ch. 13.1 - At the present time, a football player weighs 325...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...
Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - a. If exactly one number in a set of data is...Ch. 13.1 - If a t of data has a mode, then must the mode be...Ch. 13.1 - Academy Awards The following table displays the...Ch. 13.1 - Academy Awards The following table displays the...Ch. 13.1 - Dental Schools Dental schools provide urban...Ch. 13.1 - Expense Reports A salesperson records the...Ch. 13.1 - Use the above grading system to find each students...Ch. 13.1 - Use the above grading system to find each students...Ch. 13.1 - Use the above grading system to find each students...Ch. 13.1 - Use the above grading system to find each students...Ch. 13.1 - Calculate a Course Grade A professor grades...Ch. 13.1 - Calculate a Course Grade A professor grades...Ch. 13.1 - Baseball In baseball, a batters slugging average,...Ch. 13.1 - Baseball In baseball, a batters slugging average,...Ch. 13.1 - Baseball In baseball, a batters slugging average,...Ch. 13.1 - Baseball In baseball, a batters slugging average,...Ch. 13.1 - Find the mean, the median, and all modes for the...Ch. 13.1 - Find the mean, the median, and all modes for the...Ch. 13.1 - Find the mean, the median, and all modes for the...Ch. 13.1 - Find the mean, the median, and all modes for the...Ch. 13.1 - Use the following information about another...Ch. 13.1 - Use the following information about another...Ch. 13.1 - Use the following information about another...Ch. 13.1 - Use the following information about another...Ch. 13.1 - Test Scores After 6 biology tests. Ruben has a...Ch. 13.1 - Test Scores After 4 algebra tests. Alisa has a...Ch. 13.1 - Baseball For the first half of a baseball season,...Ch. 13.1 - Commuting Times Mark averaged 60 mph during the...Ch. 13.1 - Consider the data in the following table. Summary...Ch. 13.1 - Consider the data in the following table. Summary...Ch. 13.2 - This exercise makes use of the geometric procedure...Ch. 13.2 - a. to g. Repeat all of the steps described in...Ch. 13.2 - Meteorology During a 12-hour period on December...Ch. 13.2 - Meteorology During a 2-hour period on January 12....Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Find the range, the standard deviation, and the...Ch. 13.2 - Mountain Climbing A mountain climber plans to buy...Ch. 13.2 - Lotteries Which would you expect to be larger: the...Ch. 13.2 - Weights of Students Which would you expect to be...Ch. 13.2 - Evaluate the accuracy of the following statement:...Ch. 13.2 - Fuel Efficiency The fuel efficiency, in miles per...Ch. 13.2 - Waiting Times A customer at a specialty coffee...Ch. 13.2 - Fast-food Calories A survey of 10 fast-food...Ch. 13.2 - Energy Drinks A survey of 16 energy drinks noted...Ch. 13.2 - Weekly Commute Times A survey of 15 large cities...Ch. 13.2 - Biology Some studies show that the mean normal...Ch. 13.2 - Recording Industry The table below shows a random...Ch. 13.2 - Pick 5 numbers and compute the population standard...Ch. 13.2 - Pick 6 numbers and compute the population standard...Ch. 13.2 - a. All of the numbers in a sample are the same...Ch. 13.2 - 27. Under what condition would the variance of a...Ch. 13.3 - The following table lists the ages of customers...Ch. 13.3 - Two groups of people were pan of a test to...Ch. 13.3 - The exercise heart rate, in beats per minute...Ch. 13.3 - Round each z-score to the nearest hundredth. A...Ch. 13.3 - Round each z-score to the nearest hundredth. A...Ch. 13.3 - Round each z-score to the nearest hundredth. A...Ch. 13.3 - Round each z-score to the nearest hundredth. A...Ch. 13.3 - Blood Pressure A blood pressure test was given to...Ch. 13.3 - Fruit Juice A random sample of 1000 oranges showed...Ch. 13.3 - Cholesterol A test involving 380 men ages 20 to 24...Ch. 13.3 - Tire Wear A random sample of 80 tires showed that...Ch. 13.3 - Test Scores Which of the following three test...Ch. 13.3 - Physical Fitness Which of the following Illness...Ch. 13.3 - Reading Test On a reading (est. Shaylens score of...Ch. 13.3 - Placement Exams On a placement examination. Rick...Ch. 13.3 - Test Scores Kevin scored at the 65th percentile on...Ch. 13.3 - 14. Test Scores Rene scored at the 84th percentile...Ch. 13.3 - Median Income In 2015, the median family income in...Ch. 13.3 - Monthly Rents A recent survey by the U.S. Census...Ch. 13.3 - Commute to School A survey was given to 18...Ch. 13.3 - Prescriptions The following table shows the number...Ch. 13.3 - Home Sales The accompanying table shows the median...Ch. 13.3 - The table below shows the heights, in inches. of...Ch. 13.3 - The table below shows the numbers of bushels of...Ch. 13.3 - 22. The blood lead concentrations, in micrograms...Ch. 13.3 - 23. a. The population 3, 4, 9, 14, and 20 has a...Ch. 13.3 - For each of the following, determine whether the...Ch. 13.4 - A professor finds that the grades in a large class...Ch. 13.4 - The results of a statew1e examination of the...Ch. 13.4 - A secondary school system finds that the...Ch. 13.4 - Boys Heights Humans are, on average, taller today...Ch. 13.4 - Biology A biologist measured the lengths of...Ch. 13.4 - Use the Empirical Rule to answer each question. In...Ch. 13.4 - Use the Empirical Rule to answer each question. In...Ch. 13.4 - Use the Empirical Rule to answer each question....Ch. 13.4 - Use the Empirical Rule to answer each question....Ch. 13.4 - Use the Empirical Rule to answer each question....Ch. 13.4 - Use the Empirical Rule to answer each question....Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the area, to the nearest thousandth, of the...Ch. 13.4 - Find the z-score, to the nearest hundredth, that...Ch. 13.4 - Find the z-score, to the nearest hundredth, that...Ch. 13.4 - Find the z-score, to the nearest hundredth, that...Ch. 13.4 - Find the z-score, to the nearest hundredth, that...Ch. 13.4 - Find the z-score, to the nearest hundredth, that...Ch. 13.4 - Find the z-score, to the nearest hundredth, that...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - In Exercises 31 to 40, answer each question. Round...Ch. 13.4 - Heights Consider the data set of the heights of...Ch. 13.4 - Weights Consider the data set of the weights - of...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - In Exercises 43 to 49, determine whether the given...Ch. 13.4 - a. Make a sketch of two normal distributions that...Ch. 13.4 - Determine the approximate z-scores for the first...Ch. 13.5 - The following table shows Earths atmospheric...Ch. 13.5 - Which of the scatter diagrams below suggests the...Ch. 13.5 - Which of the scatter diagrams below suggests a. a...Ch. 13.5 - Prob. 3ESCh. 13.5 - Given the bivariate data: a. Draw a scatter...Ch. 13.5 - Find the equation of the least squares line and...Ch. 13.5 - Find the equation of the least squares line and...Ch. 13.5 - Find the equation of the least squares line and...Ch. 13.5 - Find the equation of the least squares line and...Ch. 13.5 - Find the equation of the least squares line and...Ch. 13.5 - Find the equation of the least squares line and...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Life Expectancy The average remaining life times...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Use the statistics features of a graphing...Ch. 13.5 - Tuition The following table shows the average...Ch. 13.5 - ____ Search for bivariate data (in a magazine. in...Ch. 13 - Find the mean, median, mode, range, population...Ch. 13 - A set of data has a mean of 16, a median of 15,...Ch. 13 - Write a set of data with five data values for...Ch. 13 - State whether the mean, Median, or mode is being...Ch. 13 - Bridges The lengths of cantilever bridges in the...Ch. 13 - Average Speed Cleone traveled 45 ml to her sisters...Ch. 13 - Grade Point Average In a 4.0 grading system, each...Ch. 13 - Test Scores A teacher finds that the test scores...Ch. 13 - Airline Industry An airline recorded the times it...Ch. 13 - Ticket Prices The following table gives the...Ch. 13 - Test Scores One student received test ores of 85,...Ch. 13 - A population data set has a mean of 81 and a...Ch. 13 - Cholesterol Levels The cholesterol levels for 10...Ch. 13 - Test Scores The following histogram shows the...Ch. 13 - Teacher Salaries Use the following relative...Ch. 13 - Greenhouse Gas Emissions The table below shows...Ch. 13 - Alternative Fuels Alternative fuel vehicles that...Ch. 13 - Test Scores A professor gave a final examination...Ch. 13 - Waiting Time The amount of time customers spend...Ch. 13 - Pet Food The weights of all the sacks of dog food...Ch. 13 - Telecommunication A telephone manufacturer finds...Ch. 13 - Astronomy The following table gives the distances,...Ch. 13 - Given the bivariate data a. Draw a scatter diagram...Ch. 13 - Physics A student has recorded the data in the...Ch. 13 - 25. ____ Internet A test of an Internet service...Ch. 13 - Blood alcohol content (BAC) is measured in grams...Ch. 13 - Find the mean, median, and mode for the following...Ch. 13 - Grade Point Average Use the 4.0 grading system:...Ch. 13 - Find the range, standard deviation, and variance...Ch. 13 - A sample data set has a mean of x=65 and a...Ch. 13 - Basketball Draw a box-and-whisker plot for the...Ch. 13 - Movie Attendance Use the following relative...Ch. 13 - During I month, an overnight delivery company...Ch. 13 - Box Weights The weights of all the boxes of cake...Ch. 13 - A psychologist wants to determine whether there is...Ch. 13 - Nutrition The following table shows the percent of...
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