Finite Mathematics & Its Applications (12th Edition)
12th Edition
ISBN: 9780134507125
Author: Goldstein
Publisher: PEARSON
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Chapter 1.1, Problem 7E
In Exercises 1–8, plot the given point.
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In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a
random sample of 1014 adults aged 18 and over. One of the questions was, "How many
cups of coffee, if any, do you drink on an average day?" The following table shows the
results obtained (Gallup website, August 6, 2012).
Number of Cups
per Day
0
1
2
3
4 or more
Number of
Responses
365
264
193
91
101
Define a random variable x = number of cups of coffee consumed on an average day. Let
x=4 represent four or more cups.
a. Develop a probability distribution for x.
b. Compute the expected value of x.
c. Compute the variance of x.
d. Suppose we are only interested in adults who drink at least one cup of coffee on an
average day. For this group, let y = the number of cups of coffee consumed on an
average day. Compute the expected value of y and compare it to the expected value of x.
Ten major college football bowl games were played in January 2010, with the University
of Alabama beating the University of Texas 37 to 21 to become the national champion
of college football. The results of the 10 bowl games follow (USA Today, January 8, 2010).
Bowl Game
Score
Outback
Gator
Auburn 38 Northwestern 35
Florida State 33 West Virginia 21
Capital One
Penn State 19 LSU 17
Rose
Ohio State 26 Oregon 17
Florida 51 Cincinnati 24
Sugar
Cotton
Alamo
Fiesta
Mississippi State 21 Oklahoma State 7
Texas Tech 41 Michigan State 31
Boise State 17 TCU 10
Orange
Iowa 24 Georgia Tech 14
Championship
Alabama 37 Texas 21
Predicted
Point Margin
Actual
Point Margin
5
3
1
12
3
-2
14
3
9
-4
-3
4
229740706
14
10
10
16
The predicted winning point margin was based on Las Vegas betting odds approximately
one week before the bowl games were played. For example, Auburn was predicted to beat
Northwestern in the Outback Bowl by five points. The actual winning point margin for Au-
burn was three points. A…
Chapter 1 Solutions
Finite Mathematics & Its Applications (12th Edition)
Ch. 1.1 - Plot the point (500,200).Ch. 1.1 - 2. Is the point on the graph of the linear...Ch. 1.1 - In Exercises 1–8, plot the given point.
1.
Ch. 1.1 - In Exercises 18, plot the given point. (1,4)Ch. 1.1 - In Exercises 1–8, plot the given point.
3.
Ch. 1.1 - In Exercises 18, plot the given point. (2,0)Ch. 1.1 - In Exercises 18, plot the given point. (2,1)Ch. 1.1 - In Exercises 18, plot the given point. (1,52)Ch. 1.1 - In Exercises 1–8, plot the given point.
7.
Ch. 1.1 - In Exercises 1–8, plot the given point.
8.
Ch. 1.1 - What are the coordinates of the point Q in Fig. 7?Ch. 1.1 - What are the coordinates of the point P in Fig. 7?Ch. 1.1 - In Exercises 11–14, determine whether the point is...Ch. 1.1 - In Exercises 1114, determine whether the point is...Ch. 1.1 - In Exercises 11–14, determine whether the point is...Ch. 1.1 - In Exercises 1114, determine whether the point is...Ch. 1.1 - In Exercises 15–18, each linear equation is in the...Ch. 1.1 - In Exercises 1518, each linear equation is in the...Ch. 1.1 - In Exercises 1518, each linear equation is in the...Ch. 1.1 - In Exercises 1518, each linear equation is in the...Ch. 1.1 - In Exercises 19–22, write each linear equation in...Ch. 1.1 - In Exercises 1922, write each linear equation in...Ch. 1.1 - In Exercises 1922, write each linear equation in...Ch. 1.1 - In Exercises 19–22, write each linear equation in...Ch. 1.1 - In Exercises 2326, find the x-intercept and the...Ch. 1.1 - In Exercises 2326, find the x-intercept and the...Ch. 1.1 - In Exercises 2326, find the x-intercept and the...Ch. 1.1 - In Exercises 2326, find the x-intercept and the...Ch. 1.1 - In Exercises 2734, graph the given linear...Ch. 1.1 - In Exercises 2734, graph the given linear...Ch. 1.1 - In Exercises 27–34, graph the given linear...Ch. 1.1 - In Exercises 2734, graph the given linear...Ch. 1.1 - In Exercises 27–34, graph the given linear...Ch. 1.1 - In Exercises 2734, graph the given linear...Ch. 1.1 - In Exercises 27–34, graph the given linear...Ch. 1.1 - In Exercises 2734, graph the given linear...Ch. 1.1 - Which of the following equations describe the same...Ch. 1.1 - Which of the following equations describe the same...Ch. 1.1 - 37. Each of the lines in Fig. 8 is the graph of...Ch. 1.1 - 38. Which of the following equations is graphed in...Ch. 1.1 - 39. Heating Water The temperature of water in a...Ch. 1.1 - Life Expectancy The average life expectancy y of a...Ch. 1.1 - 41. Cigarette Consumption The worldwide...Ch. 1.1 - 42. Ecotourism Income In a certain developing...Ch. 1.1 - Insurance Rates Yearly car insurance rates have...Ch. 1.1 - Simple Interest If $1000 is deposited at 3% simple...Ch. 1.1 - 45. College Freshmen The percentage, y, of college...Ch. 1.1 - College Freshmen The percentage, y, of college...Ch. 1.1 - College Tuition Average tuition (including room...Ch. 1.1 - 48. Bachelor’s Degrees The number of bachelor’s...Ch. 1.1 - 49. Find an equation of the line having...Ch. 1.1 - Find an equation of the line having x-intercept...Ch. 1.1 - Find an equation of the line having y-intercept...Ch. 1.1 - Find an equation of the line having x-intercept...Ch. 1.1 - 53. What is the equation of the x-axis?
Ch. 1.1 - 54. Can a line other than the x-axis have more...Ch. 1.1 - 55. What is the general form of the equation of a...Ch. 1.1 - What is the general form of the equation of a line...Ch. 1.1 - In Exercises 5760, find a general form of the...Ch. 1.1 - In Exercises 5760, find a general form of the...Ch. 1.1 - In Exercises 5760, find a general form of the...Ch. 1.1 - In Exercises 57–60, find a general form of the...Ch. 1.1 - Show that the straight line with x-intercept (a,0)...Ch. 1.1 - Use the result of Exercise 61 to find a general...Ch. 1.1 - In Exercises 6370, give the equation of a line...Ch. 1.1 - In Exercises 6370, give the equation of a line...Ch. 1.1 - In Exercises 63–70, give the equation of a line...Ch. 1.1 - In Exercises 63–70, give the equation of a line...Ch. 1.1 - In Exercises 63–70, give the equation of a line...Ch. 1.1 - In Exercises 6370, give the equation of a line...Ch. 1.1 - In Exercises 63–70, give the equation of a line...Ch. 1.1 - In Exercises 6370, give the equation of a line...Ch. 1.1 - 71. The lines with equations and have the same...Ch. 1.1 - The lines with equations 6x3y=9 and y=4x+b have...Ch. 1.1 - In Exercises 7376, (a) graph the line, (b) use the...Ch. 1.1 - In Exercises 73–76, (a) graph the line, (b) use...Ch. 1.1 - In Exercises 7376, (a) graph the line, (b) use the...Ch. 1.1 - In Exercises 73–76, (a) graph the line, (b) use...Ch. 1.1 - In Exercises 77 and 78, determine an appropriate...Ch. 1.1 - In Exercises 77 and 78, determine an appropriate...Ch. 1.2 - Suppose that the revenue y from selling x units of...Ch. 1.2 - Suppose that the revenue y from selling x units of...Ch. 1.2 - In Exercises 1–6, find the slope of the line...Ch. 1.2 - In Exercises 1–6, find the slope of the line...Ch. 1.2 - In Exercises 1–6, find the slope of the line...Ch. 1.2 - In Exercises 16, find the slope of the line having...Ch. 1.2 - In Exercises 16, find the slope of the line having...Ch. 1.2 - In Exercises 1–6, find the slope of the line...Ch. 1.2 - In Exercises 710, plot each pair of points, draw...Ch. 1.2 - In Exercises 710, plot each pair of points, draw...Ch. 1.2 - In Exercises 7–10, plot each pair of points, draw...Ch. 1.2 - In Exercises 710, plot each pair of points, draw...Ch. 1.2 - What is the slope of any line parallel to the...Ch. 1.2 - Why doesnt it make sense to talk about the slope...Ch. 1.2 - In Exercises 1316, graph the given linear equation...Ch. 1.2 - In Exercises 13–16, graph the given linear...Ch. 1.2 - In Exercises 1316, graph the given linear equation...Ch. 1.2 - In Exercises 1316, graph the given linear equation...Ch. 1.2 - In Exercises 17–24, find the equation of line...Ch. 1.2 - In Exercises 17–24, find the equation of line...Ch. 1.2 - In Exercises 17–24, find the equation of line...Ch. 1.2 - In Exercises 1724, find the equation of line LCh. 1.2 - In Exercises 17–24, find the equation of line...Ch. 1.2 - In Exercises 17–24, find the equation of line...Ch. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - In Exercises 25–28, give the slope–intercept form...Ch. 1.2 - Prob. 26ECh. 1.2 - In Exercises 2528, give the slopeintercept form of...Ch. 1.2 - In Exercises 2528, give the slopeintercept form of...Ch. 1.2 - 29. Find the equation of the line passing through...Ch. 1.2 - 30. Find the equation of the line passing through...Ch. 1.2 - 31. Find the y-intercept of the line passing...Ch. 1.2 - 32. Find the y-intercept of the line passing...Ch. 1.2 - 33. Find the equation of the line passing through ...Ch. 1.2 - Find the equation of the line passing through the...Ch. 1.2 -
35. Cost Curve A manufacturer has fixed costs...Ch. 1.2 - Demand Curve The price p that must be set in order...Ch. 1.2 - 37. Boiling Point of Water At sea level, water...Ch. 1.2 - Cricket Chirps Biologists have found that the...Ch. 1.2 - Prob. 39ECh. 1.2 - Exercises 4042 are related. Cost Equation Suppose...Ch. 1.2 - Exercises 40–42 are related.
41. Revenue Equation...Ch. 1.2 - Exercises 4042 are related. Profit Equation...Ch. 1.2 - Prob. 43ECh. 1.2 - Cash Reserves A corporation receives payment for a...Ch. 1.2 - 45. Weekly Pay A furniture salesperson earns $220...Ch. 1.2 - 46. Weekly Pay A salesperson’s weekly pay depends...Ch. 1.2 - In Exercises 47–58, find an equation for each of...Ch. 1.2 - In Exercises 47–58, find an equation for each of...Ch. 1.2 - In Exercises 4758, find an equation for each of...Ch. 1.2 - In Exercises 4758, find an equation for each of...Ch. 1.2 - In Exercises 47–58, find an equation for each of...Ch. 1.2 - In Exercises 4758, find an equation for each of...Ch. 1.2 - In Exercises 47–58, find an equation for each of...Ch. 1.2 - In Exercises 4758, find an equation for each of...Ch. 1.2 - In Exercises 4758, find an equation for each of...Ch. 1.2 - In Exercises 47–58, find an equation for each of...Ch. 1.2 - Prob. 57ECh. 1.2 - Prob. 58ECh. 1.2 - Prob. 59ECh. 1.2 - In each of Exercises 5962, we specify a line by...Ch. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - 72. Dating of Artifacts An archaeologist dates a...Ch. 1.2 - Prob. 73ECh. 1.2 - 74. College Enrollments Two-year college...Ch. 1.2 - Gas Mileage A certain car gets 25 miles per gallon...Ch. 1.2 - 76. Home Health Aid Jobs According to the U.S....Ch. 1.2 - Prob. 77ECh. 1.2 - Pizza Stores According to Pizza Marketing...Ch. 1.2 - 79. Super Bowl Commercials The average cost of a...Ch. 1.2 - 80. Straight-Line Depreciation A multi-function...Ch. 1.2 - Supply Curve Suppose that 5 million tons of apples...Ch. 1.2 - Demand Curve Suppose that 5 million tons of apples...Ch. 1.2 - Show that the points (1,3),(2,4),and(3,1) are not...Ch. 1.2 - For what value of k will the three points...Ch. 1.2 - Find the value of a for which the line through the...Ch. 1.2 - 86. Rework Exercise 85, where the word parallel is...Ch. 1.2 - Prove the parallel property. [Hint: If...Ch. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.2 - 91. Costs and Revenue A T-shirt company has fixed...Ch. 1.2 - 92. Costs and Revenue A company produces a single...Ch. 1.2 - Demand and Revenue Suppose that the quantity q of...Ch. 1.2 - 94. Demand and Revenue Suppose that the number n...Ch. 1.2 - Setting a Price During 2015, a manufacturer...Ch. 1.2 - 96. Setting a Price Rework Exercise 95 with a 2015...Ch. 1.2 - 97. Graph the three lines together, and then...Ch. 1.2 - Prob. 98ECh. 1.2 - Prob. 99ECh. 1.2 - Prob. 100ECh. 1.2 - Prob. 101ECh. 1.3 - Figure 9 shows a type of polygon that plays a...Ch. 1.3 - Figure 9 shows a type of polygon that plays a...Ch. 1.3 - Figure 9 shows a type of polygon that plays a...Ch. 1.3 - In Exercises 16, find the point of intersection of...Ch. 1.3 - In Exercises 16, find the point of intersection of...Ch. 1.3 - In Exercises 16, find the point of intersection of...Ch. 1.3 - In Exercises 1–6, find the point of intersection...Ch. 1.3 - In Exercises 16, find the point of intersection of...Ch. 1.3 - Prob. 6ECh. 1.3 - 7. Does satisfy the following system of linear...Ch. 1.3 - Does (12,4) satisfy the following system of linear...Ch. 1.3 - In Exercises 9-12, solve the systems of linear...Ch. 1.3 - In Exercises 9-12, solve the systems of linear...Ch. 1.3 - In Exercises 9-12, solve the systems of linear...Ch. 1.3 - In Exercises 9-12, solve the systems of linear...Ch. 1.3 - In Exercises 13–16, find the coordinates of the...Ch. 1.3 - In Exercises 13–16, find the coordinates of the...Ch. 1.3 - In Exercises 13–16, find the coordinates of the...Ch. 1.3 - In Exercises 1316, find the coordinates of the...Ch. 1.3 - Supply Curve The supply curve for a certain...Ch. 1.3 - 18. Demand Curve The demand curve for a certain...Ch. 1.3 - 19. Supply and Demand Suppose that supply and...Ch. 1.3 - Supply and Demand A discount book seller has...Ch. 1.3 - 21. Supply and Demand Suppose that the demand...Ch. 1.3 - Prob. 22ECh. 1.3 - Temperature Conversion The formula for converting...Ch. 1.3 - Prob. 24ECh. 1.3 - 25. Manufacturing A clothing store can purchase a...Ch. 1.3 - 26. Time Apportionment A plant supervisor must...Ch. 1.3 - Calling Card Options A calling card offers two...Ch. 1.3 - 28. Towing Fees Sun Towing Company charges $50...Ch. 1.3 - In Exercises 29 and 30, find the area of the...Ch. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - 32. Sales Determination An appliance store sells a...Ch. 1.3 - Prob. 33ECh. 1.3 - In Exercises 33-36, graph the lines and estimate...Ch. 1.3 - Prob. 35ECh. 1.3 - In Exercises 33-36, graph the lines and estimate...Ch. 1.4 - 1. Can a vertical distance be negative?
Ch. 1.4 - Under what condition will a vertical distance be...Ch. 1.4 - Suppose that the line y=3x+1 is used to fit the...Ch. 1.4 - 2. Suppose that the line is used to fit the four...Ch. 1.4 - 3. Find the sum-of-squares error E for the...Ch. 1.4 - Find the sum-of-squares error E for the...Ch. 1.4 - Complete Table 6, and find the values of m and b...Ch. 1.4 - 6. Complete Table 7, and find the values of m and...Ch. 1.4 - Consider the data points (1,2),(2,5),and(3,11)....Ch. 1.4 - 8. Consider the data points . Find the straight...Ch. 1.4 - 9. Consider the data points, and . Find the...Ch. 1.4 - Consider the data points (1,5),(2,7),(3,6), and...Ch. 1.4 - 11. Consider the data points and .
(a) Find the...Ch. 1.4 - Prob. 12ECh. 1.4 - According to Example 2, the sum-of-squares error...Ch. 1.4 - Prob. 14ECh. 1.4 - Fuel Economy The following table gives the city...Ch. 1.4 - 16. Pizzerias The following table gives the number...Ch. 1.4 - Lung cancer and Smoking The following table gives...Ch. 1.4 - Cigarette Use The percentage of college freshmen...Ch. 1.4 - 19. College Graduates Figure 15 gives the percent...Ch. 1.4 - Average College Costs Figure 16 gives the average...Ch. 1.4 - Life Expectancy The following table is an...Ch. 1.4 - Banking Two Harvard economists studied countries...Ch. 1.4 - 23. Consumer Price Index The following table gives...Ch. 1.4 - Greenhouse Gases Although greenhouse gases are...Ch. 1 - How do you determine the coordinates of a point in...Ch. 1 - 2. What is meant by the graph of an equation in x...Ch. 1 - 3. What is the y-intercept of a line? How do you...Ch. 1 - 4. What is the x-intercept of a line? How do you...Ch. 1 - Prob. 5FCCECh. 1 - Prob. 6FCCECh. 1 - Prob. 7FCCECh. 1 - Prob. 8FCCECh. 1 - Prob. 9FCCECh. 1 - Prob. 10FCCECh. 1 - Prob. 11FCCECh. 1 - What can you say about the slopes of perpendicular...Ch. 1 - Prob. 13FCCECh. 1 - Prob. 14FCCECh. 1 - What is the least-squares line approximation to a...Ch. 1 - 1. What is the equation of the y-axis?
Ch. 1 - Prob. 2RECh. 1 - Find the point of intersection of the pair of...Ch. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Find the y-coordinate of the point having...Ch. 1 - Prob. 9RECh. 1 - Solve the system of linear equations....Ch. 1 - Prob. 11RECh. 1 - Cost of Moving The fee charged by a local moving...Ch. 1 - Are the points (1,2),(2,0), and (3,1) on the same...Ch. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - 22. Supply and Demand Consider the following four...Ch. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Car Rentals One-day car rentals cost $50 plus 10...Ch. 1 - 26. Inflation In 2003, bacon cost an average of...Ch. 1 - Medical assistant Jobs According to the U.S....Ch. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - 32. Life Expectancy The following table gives the...Ch. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - 37. When is the x-intercept of a line the same as...Ch. 1 - 38. Suppose that you have found the least-squares...Ch. 1 - Does every line have an x-intercept? A...Ch. 1 - 40. Consider the line having the slope–intercept...Ch. 1 - Break-Even Analysis
We discussed linear demand...Ch. 1 - Break-Even Analysis We discussed linear demand...Ch. 1 - Break-Even Analysis
We discussed linear demand...Ch. 1 - Break-Even Analysis We discussed linear demand...Ch. 1 - Break-Even Analysis
We discussed linear demand...Ch. 1 - Break-Even Analysis
We discussed linear demand...Ch. 1 - Break-Even Analysis We discussed linear demand...Ch. 1 - Break-Even Analysis
We discussed linear demand...
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