Giáo trình Finite mathematics for managerial life and social sciences 11th Giáo trình Finite mathematics for managerial life and social sciences 11th Giáo trình Finite mathematics for managerial life and social sciences 11th Giáo trình Finite mathematics for managerial life and social sciences 11th Sách Giáo trình Finite mathematics for managerial life and social sciences 11th
A Sampling of New Applications Drawn from diverse fields of interest and situations that occur in the real world Business n n n n Online Video Advertising Use a trend line to project spending on Web video advertising p 62 Switching Broadband Service p 438 Satellite TV Subscribers p 62 Market Share of Motorcycles p 120 e economics n n n n Recovery from the Great Recession p 413 Existing Home Sales p 498 Impact of Gas Prices on Consumers p 447 Pre-Retirees’ Spending p 510 entertainment college life n n n Time Spent per Week on the Internet p 471 Time Use of College Students p 470 Brand Switching Among Female College Students p 359 n n n e environment criminal justice n n n n Corporate Fraud Use a linear equation to estimate the number of pending corporate fraud cases p 23 Detecting Shoplifters p 447 Identity Fraud p 496 n n n n n n n U.S Population by Age p 485 Percent of Population Enrolled in School p 61 Households with Someone Under 18 p 61 California Emissions Caps p 37 Climate Change p 413 fi finance n demographics Concert Attendance Use a system of linear inequalities to determine the types of ticket holders at a concert p 179 Makeup of U.S Moviegoer Audience p 412 Academy Membership p 511 Model Investment Portfolios p 120 Mortgage Rates p 120 Asset Allocation p 238 Ability-to-Repay Rule Apply the rule to determine if a potential homebuyer will qualify for a mortgage p 323 Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it personal finance government n n n Gun Owners in the Senate p 448 Federal Budget Allocation p 359 Federal Libraries p 497 n n n Comparative Shopping p 134 Credit Card Ownership Calculate probabilities using survey data about credit card ownership p 454 Emergency Fund Savings p 465 health n n n Smokers in the United States p 19 Stress Level p 402 Diet Planning Use a system of linear equations and linear inequalities to help plan a meal that satisfies certain nutritional requirements p 179 social media n n n n Facebook Users p 61 Cyber Privacy Use operations on sets to rate companies on how they keep personal information secure p 347 Social Media Accounts p 402 Smartphone Ownership p 466 in the news n n n Erosion of the Middle Class Use a linear function to model the percentage of U.S middle-income adults p 38 Terrorism Poll p 119 Who Pays Taxes? p 471 transportation n n n on the jo joB n n n n Starting a New Job p 402 On-the-Job Distractions p 358 Work Habits p 454 Getting Ahead at Work p 511 Hybrid Vehicle Mileage p 496 Flight Cancellations p 497 Traffic Survey p 498 travel n n n N.Y.C Tourists p 439 Best U.S City for Italian Restaurants p 351 Stay When Visiting National Parks p 413 See the complete Index of Applications at the back of the text to find out more Businessman with Laptop: © Odua Images / Shutterstock.com; Accounting with Calculator: © Zadorozhnyi Viktor / Shutterstock.com; Gas Prices: © justasc / Shutterstock.com; Climate Change: © kwest / Shutterstock.com; College Graduates: © gui jun peng / Shutterstock.com; Businessman Stealing Money: © Maryna Pleshkun / Shutterstock.com; Crowd of People: © Dariush M / Shutterstock.com; Government Columns: © Ambient Ideas / Shutterstock.com; Social Media Connections: © Mathias Rosenthal / Shutterstock.com; Concert Attendance: © swinner / Shutterstock.com; U.S Tax Form: © Robyn Mackenzie / Shutterstock.com; New York Tourism: © upthebanner / Shutterstock.com; New Job Workplace: © Pressmaster / Shutterstock.com; Flights Cancelled: © niroworld / Shutterstock.com; Credit Card: © luchunyu / Shutterstock.com; Medical Tests: © Hero Images / Getty Images; Background Graphic: © imagotres / iStock Vectors / Getty Images Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it REASONS to buy your textbooks and course materials at SAVINGS: CHOICE: CONVENIENCE: Prices up to 65% off, daily coupons, and free shipping on orders over $25 Multiple format options including textbook, eBook and eChapter rentals Anytime, anywhere access of eBooks or eChapters via mobile devices SERVICE: STUDY TOOLS: Free eBook access while your text ships, and instant access to online homework products Free study tools* for your text, plus writing, research, career and job search resources * availability varies Find your course materials and start saving at: www.cengagebrain.com Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it Finite Mathematics FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it eDitiOn 11 Finite MatheMatics FOR the ManaGeRiaL, LiFe, anD sOciaL sciences sOO t tan stOnehiLL cOLLeGe Australia • Brazil • Mexico • Singapore • United Kingdom • United States Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it This is an electronic version of the print textbook Due to electronic rights restrictions, some third party content may be suppressed Editorial review has deemed that any suppressed content does not materially affect the overall learning experience The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it For valuable information on pricing, previous editions, changes to current editions, and alternate formats, please visit www.cengage.com/highered to search by ISBN#, author, title, or keyword for materials in your areas of interest Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it Finite Mathematics: For the Managerial, Life, and Social Sciences, Eleventh Edition Soo T Tan Product Director: Liz Covello Product Manager: Rita Lombard Senior Content Developer: Laura Wheel Senior Product Assistant: Jennifer Cordoba Media Developer: Andrew Coppola Marketing Program Manager: Janay Pryor Content Project Manager: Cheryll Linthicum Art Director: Vernon Boes Manufacturing Planner: Becky Cross Rights Acquisitions Specialist: Don Schlotman Production Service: Martha Emry BookCraft Photo Researcher: Premedia Global Copy Editor: Barbara Willette © 2015, 2012 Cengage Learning WCN: 02-200-203 ALL RIGHTS RESERVED No part of this work covered by the copyright herein may be reproduced, transmitted, stored, or used in any form or by any means, 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Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it To Pat, Bill, and Michael Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage 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additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net How-To Technology Index Page 1 Graph a straight line 25 2 Evaluate a function 40 3 Find the point(s) of intersection of two graphs 53 4 Find an equation of a least-squares line 64 5 Solve a system of linear equations using the Gauss–Jordan method 97, 110 6 Perform matrix operations 122 7 Perform matrix multiplication 138 8 Find the inverse of a square matrix 153 9 Analyze a Leontief input–output model 162 10 Plot the graph of a linear inequality 173 11 Use the simplex method to solve a maximization linear programming problem 241 260 12 Use the simplex method to solve a minimization linear programming problem 13 Use the simplex method to perform sensitivity analysis 262 14 Find the accumulated amount of an investment 298 15 Find the effective rate of interest 298 16 Find the present value of an investment 298 17 Find the future value of an annuity 310 18 Find the present value of an annuity 311 19 Find the payment needed to amortize a loan 324 20 Find the payment needed for a sinking loan 325 21 Evaluate n!, P1 n, r2 , and C1 n, r2 382 22 Simulate an experiment 23 Graph a histogram for a given set of data 24 Create a pie chart 25 Find the mean and standard deviation of a random variable 26 Calculate the area under the standard normal curve 27 Find the distribution vector for a Markov chain 28 Find the long-term distribution vector for a Markov chain 398 467 470 499 517 545 555 Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net List of Applications $ BUSINESS AND ECONOMICS Ability-to-repay rule for mortgages, 323, 324 Access to capital, 497 Adjustable-rate mortgage, 317, 323 Advertising, 57 Agriculture, 80, 92, 150, 198, 238, 582 Airline flight scheduling, 134 Airline safety, 406 Allocation of funds, 186, 198 Allocation of services, 502, 513 Alternative energy sources, 151, 544, 553 Alternative fuel vehicles, 414 Amortization schedule, 313 Annual sales of two pharmacies, 50 Annuities, 303, 306, 308, 309, 310 Apartment complex development, 80, 95 Appreciation in value of a painting, 17 Assembly-time studies, 395, 414 Asset allocation, 81, 96, 107, 186, 188, 198, 238, 239, 240, 320 ATMs, 395 Auditing tax returns, 437 Automobile financing, 309, 322 Automobile leasing, 338 Automobile options, 347 Average CD yields, 119 Balloon payment mortgage, 322 Banking, 55, 121 Beverage preferences, 448 Bidding for rights, 571 Bookstore inventories, 120 Bounced-check charges, 62 Box-office receipts, 81, 95, 96, 135 Brand preferences of consumers, 357, 360 Brand selection, 423 Brand switching among female college students, 359 Brand switching among male college students, 359 Break-even analysis, 45, 50, 54, 71 Bridge loans, 295 Broadband Internet, 51, 438, 562 Budget allocation for auto fleet, 81, 95 Business travel expenses, 81, 96 Buying trends of home buyers, 553 Cable television, 484 Capital expenditures, 147 CDs, 337 City planning, 543, 544 COLAs, 334 Common stock transactions, 297, 395 Company sales, 69, 329, 331, 337 Comparative shopping, 134 Comparing investment returns, 295, 296 Comparing loans, 319 Comparing rates of return, 296 Competitive pricing, 588 Competitive strategies, 571, 572, 573, 581, 584 Consolidation of business loans, 296 Consumer beverage survey, 353 Consumption functions, 36 Contract bidding, 380 Corporate bonds, 295 Corporate fraud, 23 Cost of drilling, 334 Cost of laying cable, 4, Cost of summer blockbusters, 61 Credit cards, 338, 384, 454 Cruise ship bookings, 529 Customer service, 510 Customer surveys, 414, 455 Cyber Monday sales, 70 Cyber privacy, 347 Decision analysis, 45, 46 Declining number of pay phones, 23 Demand for products, 34, 36, 39, 70 Depreciation of equipment, 332, 333 Digital versus film cameras, 50 Double declining–balance depreciation, 335 Downloading music, 414 Durable goods orders, 401 E-book audience, 61 Economic surveys, 360 Effect of delaying retirement on retirement funds, 322 Effect of inflation on salaries, 296 Effective rate of interest, 296, 297 Electricity consumption, 295 Electricity generation, 413 Employee education and income, 438 Equilibrium quantity and price, 51, 55, 71 Expected ATM reliability, 483 Expected auto sales, 484 Expected demand, 483 Expected earnings, 483 Expected growth of a business, 484 Expected home sales, 484 Expected number of auto accidents, 483 Expected product reliability, 483, 509 Expected profit, 475, 484, 532 Expected sales, 482, 483, 510, 532 401(k) retirement plans, 136, 361, 413 Factory workers’ wages, 528 Facebook users, 61 Federal budget allocation, 359 Financial analysis, 217, 321, 572, 573 Financial planning, 309, 321, 338 Financing a car, 304, 321, 322 Financing a home, 321, 322, 338 Financing college expenses, 321 Flex-time, 455 Flight cancellations, 497 Forecasting sales, 16, 412 Foreign exchange, 134, 135 Fuel stop planning, Gasoline sales, 117, 122, 124, 167 Global box-office receipts, 61 Global defense spending, 63 Government debt, 497 Great recession, 402, 413 Growth of credit unions, 62 Health-care plan options, 366 Home affordability, 315, 316, 324 Home equity, 314 Home healthcare and equipment spending, 63 Home mortgages, 314, 321 Home refinancing, 323 Home sales, 121, 498 Hospital costs, 295 Hours worked in some countries, 496 Housing appreciation, 295, 297, 406 Housing loans, 439 Housing prices, 496 How money is spent in U.S for health care, 472 Hybrid vehicle mileage, 496 Identity fraud, 496 Impact of gas prices on consumers, 447, 455 Income distributions, 443 Industrial accidents, 493, 529 Information security software sales, 67 Input–output analysis, 156, 158, 159, 160, 161, 163, 164, 168 Installment plans, 309, 338 Interest rate prediction, 483 Inventory loss, 351 Investment analysis, 306, 308, 309, 322, 484, 495 Investment income, 293 Investment options, 292, 296, 364, 376 Investment planning, 80, 95, 295 Investment portfolios, 119, 167 Investment risk and return, 80, 95, 96, 151 Investment strategies, 581, 584 Investments, 80, 94, 95, 134, 167, 179, 295, 296, 385 Investors’ usage of brokers, 358 IRAs, 292, 305, 307, 308, 322 LCDs versus CRTs, 50 Leasing, 50, 54, 309 Life insurance premiums, 483, 484, 531 Linear depreciation, 32, 36, 37, 70 Loan amortization, 320, 326 Loan consolidation, 296 Loan delinquencies, 529 Lunch expenditure, 510 Mail-order sales, 512 Main reasons why young adults shop online, 471 Makeup of U.S moviegoer audience, 412 Management decisions, 107, 373, 379, 573 Market equilibrium, 47, 48, 49, 71 Market research, 200 Market share, 120, 542, 544, 552, 554, 573 Marketing strategies, 584 Marketing surveys, 354 Maximizing investment returns, 200 Maximizing profit, 192, 235 Metro bus ridership, 80, 195 Microwave ownership, 508 Minimizing city water costs, 184, 199, 213 Minimizing costs, 213 Minimizing cruise line costs, 186 Minimizing mining costs, 186, 199 Minimizing shipping costs, 8, 187, 188, 189, 199, 217 Model investment portfolios, 120 Money market mutual funds, 297 Money market rates, 465 Mortgage interest rates, 119, 120 Motorcycle sales, 120 Movie attendance, 391, 401 Municipal bonds, 80, 95, 295 Music venues, 405 Mutual funds, 295, 338 Netflix revenue from streaming subscribers, 532 Net sales, 60 Newspaper advertisements, 379 Newspaper preferences of investors, 361 Newspaper subscribers, 357 Nuclear plant utilization, 22 Odds of closing a business deal, 486 Odds of making a sale, 485 On-time arrivals, 497, 533 Online retail sales, 296 Online sales of used autos, 62 Online shopping spending, 68 Online video advertising, 62 Optimizing advertising exposure, 187, 199, 239 Optimizing demand, 588 Optimizing prefabricated housing production, 188 Optimizing production schedules, 81, 92, 107, 116, 130 (continued) Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Optimizing profit, 212, 239, 240 Optimizing travel time, Organizing production data, 112, 114 Packaging, 490, 522 Pensions, 295, 296 Personal loans, 322 Personnel selection, 380, 422, 447 Petroleum production, 167 Plans to keep cars, 416 Pre-retirees’ spending, 510 Pricing personal planners, 150 Probability of engine failure, 511 Probability of sale or lease, 411 Product reliability, 440, 448, 459, 498, 528 Production planning, 116, 130, 136, 175, 181, 232 Production scheduling, 81, 95, 107, 167, 185, 186, 187, 188, 198, 199, 200, 213, 214, 217, 230, 238, 239 Profit function analysis, 204 Profit functions, 37, 70 Promissory notes, 296 Purchasing a home, 309 Purchasing power, 296 Quality assurance surveys, 395 Quality control, 379, 385, 394, 395, 401, 404, 419, 421, 422, 430, 431, 435, 439, 440, 443, 449, 453, 455, 498, 506, 507, 508, 510, 511, 512, 526, 529, 532, 533 Reader survey, 356 Real estate, 135 Real estate investments, 291, 296 Real estate transactions, 439 Recycling, 384 Refinancing a home, 323 Reliability of a home theater system, 440 Reliability of security systems, 439 Research funding, 151 Retirement accounts, 321, 338 Retirement benefits versus salary, 406 Retirement funds, 295 Retirement planning, 308, 309, 318, 322 Revenue growth of a home theater business, 296 Revenue of Moody’s corporation, 67 Robot reliability, 511 Roth IRAs, 307, 309 Salary comparisons, 72, 334, 335 Sales forecasting, 137 Sales growth, 23, 334 Sales of disaster-recovery systems, 455 Sales of GPS equipment, 68 Sales of MP3 players, 69 Sales of plasma TVs, 454 Sales tax, 37 Satellite TV subscribers, 62 Savings accounts, 308, 309, 338 Savings plan, 309, 335 Securing a bank loan, 308 Security breaches, 405 Selecting job applicants, 394, 404 Sensitivity analysis, 204, 210 Serial numbers, 366 Shadow prices, 209, 213 Shoplifting, 404, 447 Shuttle bus usage, 395 Sinking fund, 317, 321, 325, 326, 338 Smartphone ownership by age, 466 Smartphone ownership by income, 466 Social media accounts, 402, 511 Social Security, 22, 37, 71 Spending methods, 405 Spending on equipment and software, 23 Staffing, 367 Starting a new job, 402 Starting salaries, 498 Stock prices, 412 Stock transactions, 126, 131, 134, 167 Sum-of-the-years’-digits method of depreciation, 334 Supermarket lines, 511 Supermarket site selection, 379 Supply and demand, 35, 39, 70 Switching jobs, 415 Tax preparation, 454 Tax-deferred annuity, 306 Taxicab movement, 540, 545, 551 Teen spending behavior, 414, 510 Telemarketing, 529 Television pilots, 438, 465 Television programming, 379 Testing new products, 392, 399, 400 Theater bookings, 529 Ticket revenue, 150 Tire safety, 414 Tour revenue, 148 Transportation problem, 183 Treasury bills, 283, 295 Trust funds, 283, 295, 321, 335 Trustworthiness of online reviews, 80, 95 TV households with remote controls, 412 Unemployment rates, 483 Union bargaining issues, 366 U.S airplane passenger projections, 38 U.S financial transactions, 51 U.S health-care expenditures, 31, 58 U.S income distribution for households, 453 U.S online banking households, 67 U.S outdoor advertising, 62 Use of landline phone versus cell phone, 415 Violations of the building code, 510 Wage rates, 486 Waiting lines, 379, 461, 465, 473, 486 Warehouse problem, 184 Warranties, 367, 528 Winning bids, 439 Women’s apparel, 455 Work habits, 454 Workplace, 402 Worldwide consulting spending, 67 Zero coupon bonds, 296, 297 Social Sciences Accident prevention, 401 Age distribution in a town, 501 Age distribution of company directors, 499 Age distribution of renters, 448 Arrival times, 497 Auto-accident rates, 449 Birthrates, 495 Blood pressure, 510, 511 California emissions caps, 37 California population by age, 485 Campaign strategies, 584 Car theft, 438 Charities, 135 Civil service exams, 528 College admissions, 22, 60, 71, 136, 412, 439, 455, 523 College graduates, 563 College majors, 450, 544 Committee selection, 372, 375 Commuter options, 365, 366 Commuting times, 449, 477, 481 Commuter trends, 358, 456, 544, 552 Compliance with seat belt laws, 446 Consumer decisions, 295, 334 Consumer preferences, 454, 510 Consumer surveys, 358 Conviction rates, 496 Correctional supervision, 404 Cost of taking time off, 495 Course enrollments, 414 Course selection, 380 Court judgment, 295 Crime, 446 Criminal justice, 108 Criminology, 379 Defined-benefit retirement plan, 308 Disposition of criminal cases, 405 Distracted driving, 416 Distribution of families by size, 465 Drinking and driving among high school students, 37, 41, 42 Drivers’ tests, 380, 423 Driving age requirements, 500 Education, 528 Education and income, 438 Educational level of mothers and daughters, 546 Educational level of voters, 437 Educational status of women, 546 Election turnout, 498 Elections, 385 Erosion of the middle class, 65, 66 Exams, 367, 380, 422, 423, 510 Exam scores, 486, 498 Family birth order, 392, 394, 404 Family composition, 438, 454, 482, 509 Financing a college education, 296 Gender gap, 447 Getting ahead at work, 511 Grade distributions, 402, 528 Green companies, 405 Gun-control laws, 416 Gun owners in the House of Representatives, 455 Gun owners in the Senate, 448 Happiness score by generation, 494 Happy marriages, 435 Highway speeds, 528 Homeowners’ choice of energy, 544, 553 Hours worked in some countries, 496 Households with someone under 18, 61 IQs, 528 Jail inmates, 357 Jury selection, 380 Keeping up with the cost of living, 454 Library usage, 463 Life expectancy, 119 Female commuting times, 485 Making friends, 510 Male commuting times, 485 Male life expectancy at 65, 62 Marital status of men, 491, 498 Marital status of women, 532 Mass-transit subsidies, 61 Narrowing gender gap, 22 Network news viewership, 553 New York State courts’ total caseload, 496 On-the-job distractions, 358 One- and two-income families, 553 Opinion polls, 401, 446, 447, 455 Organizing educational data, 136 Organizing sociological data, 465, 495 Parental influence, 405 Percentage of mobile ad revenues by device type, 472 Percentage of the population enrolled in school, 61 Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Political polls, 367, 395, 405, 543 Political views of college freshmen, 403 Politics, 348, 444 Population growth, 334 Probability of graduating, 512 Professional women, 553 Psychology experiments, 366, 543, 552 Public housing, 423 Red-light runners, 403 Rental rates, 365 Research funding, 151 Restaurant violations of the health code, 510 Retirement expectations, 454 Retirement needs, 446 Risk of an airplane crash, 416 Rollover deaths, 415 SAT scores, 61, 360, 470 Seat-belt compliance, 446 Selection of Senate committees, 380 Selection of Supreme Court judges, 448 Seniors with driver’s licenses, 428 Senior population, 70 Small-town revival, 543 Smoking and education, 450 Social ladder, 450 Social media, 23 Social programs planning, 187, 200 Solar energy, 151, 506, 544 Staying in touch, 405 Stuck in traffic, 495 Student dropout rate, 360 Student enrollment, 437 Student financial aid, 438 Student magazine preferences, 360 Student surveys, 385 Student test scores, 120 Study groups, 379 Switching broadband service, 438 Teachers’ views of educational problems, 415 Teaching assistantships, 380 Television-viewing polls, 367 Time spent by college students on the Internet, 471 Time use of college students, 470 Traffic surveys, 403, 498, 532 Traffic-flow analysis, 104, 107, 108, 404 Tracking a criminal with GPS, Transportation fatalities, 454 U.N voting, 377, 380 U.S population by age, 485 Urbanization of farmland, 587 Urban–suburban population flow, 539, 540, 544 Use of public transportation, 455, 456 Voter affiliation, 135 Voter turnout by income, 450 Voter turnout by profession, 450 Voters, 510 Voting patterns, 447 Voting quorums, 381 Who pays taxes, 471 Working with a spouse, 511 Women in the professions, 553 LIFE Sciences Bacteria growth, 335 Best U.S city for Italian restaurants, 351 Birth weights of infants, 522 Birthrates, 495 Blood tests, 446 Blood types, 394, 402, 413, 437, 486, 510 Bringing something to a party, 471 Cholesterol levels, 119, 527 Clark’s Rule, 70 Climate change, 413 Color blindness, 427 Corrective lens use, 404 Cowling’s Rule, 37 Cricket chirping and temperature, 38 Crop planning, 79, 80, 92, 94, 150, 186, 198, 213, 238, 582 Diabetes in Massachusetts cities, 496 Dietary planning, 81, 96, 137, 150, 179, 187, 199 Drug dosages for children, 37 Drug effectiveness, 532 Drug testing, 512, 529 Female life expectancy at 65, 71 Fertilizer mixtures, 186, 199, 179 Genetics, 553, 560, 563 Health issues in Massachusetts cities, 496 Heart transplant survival rate, 526 Heights of women, 501, 532 Lawn fertilizer mixtures, 81, 95, 150 Lightning injuries, 497 Lightning, deaths, 404 Losing weight, 415 Medical diagnoses, 447 Medical records, 528 Medical research, 447 Medical surveys, 433, 438 Nutrition, 182, 193 Obesity in children, 449 Organizing medical data, 119 Probability of transplant rejection, 438 Reliability of medical tests, 448 Serum cholesterol levels, 527 Smokers in the United States, 19 Smoking and emphysema, 450 Stress levels, 402 Success of heart transplants, 507 Veterinary science, 200 Violations of the health code, 510 Weight of whales, 22 ? GENERAL INTEREST Academy membership, 511 Automobile options, 347, 366, 367 Automobile preferences, 588 Automobile selection, 385 Binary codes, 366 Birthday problem, 420, 424, 453 Blackjack, 366, 423 Blended coffee mixtures, 80, 95 Book exhibitions, 379 Boston weather, 486 Building a pickup truck, 366 Bus routes, 381 Cafeteria milk consumption, 482 Cafeteria student usage, 360 Calculating GPA, 482 Car pools, 379 Chances of hitting a target, 529 Chances of making a free throw, 529 Checking into a hotel room, 403 Choosing a password, 367 Choosing a PIN, 366 Classifying seconds, 527, 529 Code words, 366 Coin-matching game, 564, 577, 580, 584 Coin tosses, 366, 533 College savings program, 338 Combination locks, 364, 367 Commuter train arrival times, 403 Comparing mortgages, 324 Computer-aided transcription, 561 Computer dating, 366 Computing phone bills, 136 Concert attendance, 179 Concert seating, 379 Cooking at home, 403 Delivery charges, Distance between two ships, 8, Emergency fund savings, 465 Exercise program, 334 Expected value of a lottery ticket, 483 Fair games, 477 Family food expenditure, 295, 532 Family portraits, 439 Federal libraries, 497 First-class mail volume, 62 Gambler’s ruin, 558, 559 Game of chance, 562 Game of matching fingers, 573 Game shows, 395 License plate numbers, 367 Lotteries, 309, 367, 423 Menu choices, 363, 365, 366, 385 Meteorology, 402 NYC tourists, 439 Office pools, 412 Personal habits, 449 Planning a grand tour, Poker, 375, 380, 385, 423, 424, 453 Predicting weather, 434, 485 Purchasing an HDTV antenna, Raffles, 412, 476 Rolling a pair of dice, 400 Roulette, 404, 423, 476, 479, 485 San Francisco weather, 486 Saving for a college education, 296, 304 Scavenger hunt, Scheduling performances, 376 Seating arrangements, 385 Selecting a reading list, 379 Selecting a space shuttle crew, 377 Selecting a special occasion cake, 379 Selecting members of a group, 376 Selling a car, 437 Serial numbers, 366 Sleeping with cell phones, 449 Slot machines, 367, 423 Stay when visiting national parks, 413 Solving problems, 437 Sports, 358, 380, 381, 396, 486, 509, 532 Sweepstakes, 405 Taking a group picture, 369 Team selection, 385 Telephone numbers, 367 Temperature conversion, 22 Terrorism polls, 119 Time on a diet, 415 Travel options, 365 Travel wardrobe, 379 Using digital technology, 80, 95 Vacation costs, 81, 96 Video recorders, 563 Walking on Mars, 415 Wardrobe selection, 366 Watching a rocket launch, Wedding catering, 379 Zodiac signs, 424 Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Formulas Equation of a Straight Line a point-slope form: y y1 m1 x x1 b slope-intercept form: y mx b c general form: Ax By C Equation of the Least-Squares Line y mx b where m and b satisfy the normal equations nb 1 x1 x2 c1 xn m y1 y2 c1 yn x1 x2 c1 xn b 1 x 21 x 22 c1 x 2n m x1 y1 x2 y2 c1 xn yn Compound Interest A P 1 i n 1 i r>m, n mt2 where A is the accumulated amount at the end of n conversion periods, P is the principal, r is the interest rate per year, m is the number of conversion periods per year, and t is the number of years Effective Rate of Interest reff a1 r m b 21 m where reff is the effective rate of interest, r is the nominal interest rate per year, and m is the number of conversion periods per year Future Value of an Annuity S5Rc Present Value of an Annuity P5Rc Amortization Formula R5 1 i2 n d i 1 i2 2n d i Pi 1 i2 2n Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it www.downloadslide.net Sinking Fund Payment R5 P1 n, r The Number of Permutations of n Distinct Objects Taken r at a Time The Number of Permutations of n Objects, Not All Distinct iS 1 i2 n n! 1n r2! n! , where n1 n2 nm n n1! n2! nm! The Number of Combinations of n Distinct Objects Taken r at a Time C1 n, r n! r! n r ! P1 A y B2 P1 A2 # P1 B A2 The Product Rule for Probability Bayes’ Formula Expected Value of a Random Variable Bernoulli Trials P1 X x2 C1 n, x2 pxq n2x E1 X2 np Var1 X2 npq sX !npq P1 Ai E2 P1 Ai # P1E Ai # P1 A1 P1E A1 P1 A2 # P1E A2 c P1 An # P1E An E1 X2 x1 p1 x2 p2 c1 xn pn x 0, 1, 2, , n2 Copyright 2014 Cengage Learning All Rights Reserved May not be copied, scanned, or duplicated, in whole or in part Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s) Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it ... our increasingly complex daily life Finite Mathematics for the Managerial, Life, and Social Sciences attempts to illustrate this point with its applied approach to mathematics Students have a much... concepts in Finite Mathematics by using more real -life applications that are relevant to the everyday life of students and to their fields of study in the managerial, life, and social sciences A... additional content at any time if subsequent rights restrictions require it Finite Mathematics: For the Managerial, Life, and Social Sciences, Eleventh Edition Soo T Tan Product Director: Liz Covello