Finite Mathematics & Its Applications (12th Edition)
12th Edition
ISBN: 9780134437767
Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
Publisher: PEARSON
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Chapter 1, Problem 25RE
Car Rentals One-day car rentals cost $50 plus 10 cents per mile from company A and $40 plus 20 cents per mile from company B.
(a) For each company, give the linear equations for the cost, y, when x miles are driven.
(b) Which company offers the best value when the car is driven for 80 miles?
(c) Which company offers the best value when the car is driven for 160 miles?
(d) For what mileage do the two companies offer the same value?
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In the graph below triangle I'J'K' is the image of triangle UK after a dilation.
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The side lengths are equal in measure.
The scale factor is 1/5.
The figure has been enlarged in size.
The center of dilation is (0.0)
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4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answer
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.
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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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- In the graph below triangle I'J'K' is the image of triangle UK after a dilation. 104Y 9 CO 8 7 6 5 I 4 3 2 J -10 -9 -8 -7 -6 -5 -4 -3 -21 1 2 3 4 5 6 7 8 9 10 2 K -3 -4 K' 5 -6 What is the center of dilation? (0.0) (-5. 2) (-8. 11 (9.-3) 6- 10arrow_forward= 12:02 WeBWorK / 2024 Fall Rafeek MTH23 D02 / 9.2 Testing the Mean mu / 3 38 WEBWORK Previous Problem Problem List Next Problem 9.2 Testing the Mean mu: Problem 3 (1 point) Test the claim that the population of sophomore college students has a mean grade point average greater than 2.2. Sample statistics include n = 71, x = 2.44, and s = 0.9. Use a significance level of a = 0.01. The test statistic is The P-Value is between : The final conclusion is < P-value < A. There is sufficient evidence to support the claim that the mean grade point average is greater than 2.2. ○ B. There is not sufficient evidence to support the claim that the mean grade point average is greater than 2.2. Note: You can earn partial credit on this problem. Note: You are in the Reduced Scoring Period. All work counts for 50% of the original. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. . Oli wwm01.bcc.cuny.eduarrow_forward>tt 1:32 > trend.1m 1m (sales > summary(trend.1m) - tt) #3###23 (i) #### Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2107.220 57.997 36.332e-16 *** tt -43.500 3.067 -14.18 7.72e-15 *** > trend = ts (fitted (trend.1m), start-start (sales), freq-frequency (sales)) sales trend ###23%23 (ii) #### as.numeric((1:32 %% 4) > X > q1 > q2 > q3 > 94 = = = = - as.numeric((1:32 %% 4) as.numeric((1:32 %% 4) as.numeric((1:32 %% 4) == 1) 2) == == 3) == 0) > season.lm = 1m (resid (trend.1m) 0+q1 + q2 + q3 + q4) #3##23%23 (iii) #### > summary(season.1m) Coefficients: Estimate Std. Error t value Pr(>|t|) q1 -38.41 43.27 -0.888 0.38232 92 18.80 43.27 0.435 0.66719 q3 -134.78 43.27 -3.115 0.00422 ** 94 154.38 43.27 3.568 0.00132 ** > season = ts (fitted (season.lm), start=start (sales), freq=frequency (sales)) > Y X season %23%23%23%23 (iv) #### >ar (Y, aic=FALSE, order.max=1) #23%23%23%23 (v) #### Coefficients: 1 0.5704 Order selected 1 sigma 2 estimated as 9431 > ar(Y, aic=FALSE,…arrow_forward
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