Question: Create a graph with the given properties.

> Raffle Tickets Ten thousand raffle tickets are sold for $5 each. Four prizes will be awarded: one for $5000, one for $2500, and two for $1000. Assume that the probability that any given ticket is selected for the $5000 prize is 1/10,000, the probability

> The National Football League (NFL) is considering four cities for expansion: San Antonio (S), Los Angeles (L), Honolulu (H), and Toronto (T). The 32 current owners rank the four candidates according to the following preference table. 24. Determine the wi

> One million tickets are sold for a lottery in which a single prize will be awarded. (a) If you purchase a ticket, determine your odds against winning. (b) If you purchase 10 tickets, determine your odds against winning.

> Harry’s credit card company determines his minimum monthly payment by adding all new interest to 2.5% of the outstanding principal. The credit card company charges an interest rate of 0.03164% per day. On August 21, while on vacation, Harry used his cred

> Suppose that the people of Königsberg decide to add several bridges to their city. Two such possibilities are shown. Create graphs that would represent the Königsberg bridge problem with these new bridges.

> The amount of money Stephanie collected in tips in each of seven days is $51, $70, $54, $28, $105, $64, $83. Determine the mean, median, mode, and midrange.

> A circuit that passes through each edge of a graph exactlymone time is called a (n)_________ circuit. 4. A connected graph has at least one Euler path, but no Euler circuits, if the graph has exactly__________ odd vertices. 6. If a connected graph has e

> One thousand raffle tickets are sold for $2 each. One prize of $600 is to be awarded. Rena purchases one ticket. (a) Determine her expected value. (b) Determine the fair price of a ticket.

> Credit Card Minimum Monthly Payment Evelyn’s credit card company determines her minimum monthly payment by adding all new interest to 2% of the outstanding principal. The credit card company charges an interest rate of 0.04238% per day. On September 15,

> In Exercises 21–34, discuss the statement and tell what possible misuses or misinterpretations may exist. 22. There are more empty spaces in the parking lot of Mama Mia’s Italian restaurant than at Shanghai Chinese res

> Draw a complete graph with five vertices.

> In Exercises 19–26, (a) draw a scatter diagram; (b) determine the value of r, rounded to the nearest thousandth; (c) determine whether a correlation exists at a = 0.05; and (d) determine whether a correlation exists at a = 0.01.

> Assume that the spinner cannot land on a line. Determine the odds against the spinner landing on the color red. (22). Assume that the spinner cannot land on a line. Determine the odds against the spinner landing on the color red.

> The Wilson family is trying to decide whether to go to Washington, D.C. (W), Orlando (O), or Virginia Beach (V) on their summer vacation. The two parents, five children, and two grandparents rank their three choices according to the following preference

> The expected value when you purchase a lottery ticket is +$2.00, and the cost of the ticket is $5.00. Determine the fair price of the lottery ticket

> Jeff buys a new motorcycle for $12,000. He receives $4500 as a trade-in on his old motorcycle and uses the money as a down payment. Jeff finances the balance at 6.5% APR over 24 months. Before making his 12th payment, he decides to pay off the loan. (a)

> In Exercises 19–30, use Table 12.8 on pages 772 and 773 to find the specified area. 20. Below the mean 22. Between 1.30 and 1.70 standard deviations above the mean 24. To the left of z = 1.43 26. To the right of z = -1.78 28. To the left of z = -0.92 30.

> Fill in the blank with an appropriate word, phrase, or symbol(s). 2. The difference between the highest and lowest values in a set of data is called the________ . 4. The symbol s is used to indicate the standard deviation of a(n)________ . 6. The standar

> Eight voters are asked to rank three brands of yogurt: Dannon (D), Breyers (B), and Columbo (C). The eight voters turn in the following ballots showing their preferences in order:

> Write the negation of the statement 18. All houses are wired using parallel circuits. 20. No Capricorns are Leos 22. All horses have manes. 24. Some teachers are not professors. 26. Some vitamins contain sugar.

> Determine the minimum-cost spanning trees for the given graph.

> A multiple-choice exam has four possible answers for each question. For each correct answer, you are awarded 5 points. For each incorrect answer, 2 points are subtracted from your score. For answers left blank, no points are added or subtracted. (a) If y

> Early Repayment of a Loan Jeslie Ann has a 48-month installment loan with a fixed monthly payment of $83.81. The amount she borrowed was $3500. Instead of making her 18th payment, Jeslie Ann is paying the remaining balance on the loan. (a) Determine the

> Five candidates are running for president of the Student Senate. They receive the following votes: (a) Determine the winner using the plurality method. (b) Did this candidate receive a majority of votes?

> Where appropriate, round standard deviations to the nearest hundredth. 16. Caffeine in Soft Drinks Determine the range and standard deviation of the number of millgrams of caffeine in 9 selected soft drinks: 37, 43, 25, 80, 55, 33, 40, 30, 35. 18. Prescr

> Use the following graph 16. Determine an Euler circuit that begins and ends with vertex B. 18. Determine an Euler circuit that begins and ends with vertex D. 20. Determine an Euler circuit that begins and ends with vertex F

> Use the graph below to answer the following questions. 16. Is A, D, E, B, A, C, B a circuit? Explain. 18. On the graph, is it possible to determine a path that begins with vertex C, contains all of the edges exactly once, and ends with vertex B? If so,

> A card is picked from a standard deck of cards. Determine the odds against and the odds in favor of selecting. A spade. (18). A card is picked from a standard deck of cards. Determine the odds against and the odds in favor of selecting. A card greater th

> In an experiment, if there is a loss in the long run, the expected value is _______. (4). In an experiment, if there is neither a gain nor a loss in the long run, the expected value is _______ .

> Determine two different Hamilton circuits in each of the following graphs. 16. 18.

> A bag contains 4 blue chips and 6 red chips. Chi and Dolly play the following game. Chi selects one chip at random from the bag. If Chi selects a blue chip, Dolly gives Chi $6. If Chi selects a red chip, Chi gives Dolly $5. (a) Determine Chi’s expectatio

> Financing Furniture Mr. and Mrs. Chan want to buy furniture that has a cash price of $3450. On the installment plan, they must pay 25% of the cash price as a down payment and make six monthly payments of $437. (a) What finance charge will the Chans pay?

> For the distributions in Exercises 16–18, state whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right. 16. The numbers resulting from tossing a die many times. 18. The heights of a sample of hig

> Use a tree to show the parent–child relationships in the following family. Joe has two children: Allan and Rosemary. Allan has three children: Christopher, Donetta, and AJ. Rosemary has three children: Peter, Paula, and Martin.

> Employees of Brighton Summer Camp are choosing a new logo for their summer camp brochure. The choices are a sun (S), a lake (L), and a canoe (C). Each employee ranks the three choices from first to third. The preference table below shows the results of t

> Mike and Dave play the following game. Mike picks a card from a deck of cards. If he selects an ace, Dave gives him $5. If not, he gives Dave $2. (a) Determine Mike’s expectation. (b) Determine Dave’s expectation.

> Financing a Computer Ilga purchased a new computer on a monthly purchase plan. The computer sold for $1495. Ilga paid 5% down and $64 a month for 24 months. (a) What finance charge did Ilga pay? (b) What is the APR to the nearest half percent?

> Use a tree to show the following supervisory relationships at Halford College. President Downing supervises three division directors: Hill, Tipton, and Davis. Hill supervises two department chairs: Travis and Falkner. Tipton supervises three department c

> Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth. 12. 4, 6, 7, 7, 7, 9, 9 14. 1, 1, 1, 1, 4, 4, 4, 4, 6, 8, 10, 12, 15, 21 16. 40, 50, 30, 60, 90, 100, 140 18. 16, 14, 20, 22, 2

> Each individual outcome in a sample space is called a sample _______ . (4). A helpful method to determine a sample space is to construct a(n) _______ diagram.

> In Exercises 11–18, assume that a sample of bivariate data yields the correlation coefficient, r, indicated. Use Table 12.9 on page 787 for the specified sample size and level of significance to determine whether a linear correlation exists. 12. r = 0.59

> Determine two different spanning trees for the given graph. There are many possible answers.

> A fair die is tossed. Determine the odds against rolling. An odd number. (14). A fair die is tossed. Determine the odds against rolling. A number greater than 4.

> Use the following graph. 12. Determine an Euler path that begins with vertex F 14. Is it possible to determine an Euler path that begins with vertex A?

> At a special clothing sale at the Crescent Oaks Country Club, after the cashier rings up your purchase, you select a slip of paper from a box. The slip of paper indicates the dollar amount, either $5 or $10, that is deducted from your purchase price. The

> Juan paid $7000 for a new central air-conditioning unit for his house. He paid 20% as a down payment and financed the balance with a 36-month fixed installment loan with an APR of 5%. (a) Determine Juan’s finance charge. (b) Determine Juan’s monthly paym

> Seattle Greenery In July in Seattle, the grass grows 1/2 in. a day on a sunny day and 1/4 in. a day on a cloudy day. If in Seattle in July, 75% of the days are sunny and 25% are cloudy (a) Determine the expected amount of grass growth on a typical day in

> In Exercises 11–20, identify the sampling technique used to obtain a sample. 12. Every 10th Samsung television coming off an assembly line is checked for defects. 14. A door prize is given away at a home improvement seminar. Tickets are

> Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur. Boys and Girls A couple plans to have two children. (a) Determine the number of sample points in the sample space of the possible arrangeme

> (2) A loan on which you make variable payments each month is called a(n) _____installment loan. (4) The total amount of money the borrower must pay for borrowing the money is called the ____charge. (6) The period between when a purchase is made and whe

> Determine two different Hamilton paths in each of the following graphs. 10. 12. 14.

> In her wallet, Anne has 12 bills. Six are $1 bills, two are $5 bills, three are $10 bills, and one is a $20 bill. She passes volunteer seeking donations for the Salvation Army and decides to select one bill at random from her wallet and give it to the Sa

> In Exercises 8–10, determine the monthly payment for the installment loan. Unless told otherwise by your instructor, you may either use Table 10.2 or the installment payment formula (see Examples 1 and 2).

> Your television remote control has buttons for digits 0–9. If you press two buttons, how many numbers are possible if (a) The same button may be pressed twice. (b) The same button may not be pressed twice.

> Ergonomic Chairs A large company with offices in four cities must distribute 144 new ergonomic chairs to the four. Offices. The chairs will be apportioned based on the number of employees in each office as shown in the table below. (a) Apportion the chai

> Indicate whether the statement is a simple statement or a compound statement. If it is a compound statement, indicate whether it is a negation, conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol (for

> In Exercises 1–10, fill in the blank with an appropriate word, phrase, or symbol(s). 2. Making generalizations or predictions from the data collected is called ____statistics. 4. All items or people of interest in an experiment are collectively called a

> Use the histogram below to answer the following questions. (a) How many students were surveyed? (b) What are the lower and upper class limits of the first and second classes? (c) How many students have an annual car insurance premium in the class with a

> In Exercises 28–30, part c), construct the frequency polygon on the same axes as the histogram. See Fig 12.9 on page 739. (28) Starting Salaries Starting salaries, in thousands of dollars, for social workers with a bachelor of science d

> Use these data to construct a frequency distribution with a first class of. (22) 80.0–89.9. (24) 88.7–101.6. (25)Jogging Distances Twenty members of a health club who jog were asked how many miles they jog per week. T

> In Exercises 18–20, the data represent the approximate 2013 population, in hundreds of thousands of people, of the 20 most populous cities in the United States. Use these data to construct a frequency distribution with a first class of

> In Exercises 14–16, use the data given in Table 12.1 on pages 736 and 737 to construct a frequency distribution with a first class (in thousands) of. (14) 100–399. (16) 138–417.

> A hot dog vendor is interested in the num be of hot dogs he sells each day at his hot dog cart. The number of hot dogs sold is indicated at the top of next column for 32 consecutive days. Construct a frequency distribution, letting each class have a widt

> In Exercises 10, use the frequency distribution to determine. (a) The total number of observations. (b) The width of each class. (c) The midpoint of the second class. (d) The modal class (or classes). (e) The class limits of the next class if an addition

> Determine the range and standard deviation of the set of data. When appropriate, round standard deviations to the nearest hundredth. 8. 10, 10, 14, 16, 8, 8 10. 5, 9, 10, 14, 2, 11, 13, 14, 8, 4 12. 9, 9, 9, 9, 9, 9, 9 14. 60, 58, 62, 67, 48, 51, 72, 70

> In Exercises 1– 8, fill in the blank with an appropriate word, phrase, or symbol(s). (2) In a frequency distribution, the class with the greatest frequency is called the ______class. (4) The class width of a frequency distribution with a first class of 1

> The following table gives the distribution of annual salaries for employees at Kulzer’s Home Improvement. Using the information provided in the table, determine the (a) mean annual salary. (b) median annual salary. (c) mode annual salar

> Suppose that turtles tan is a small country with a population of 8,000,000 that consists of four states, A, B, C, and D. There are 160 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in th

> Determine each state’s apportionment using Hamilton’s method. Suppose that turtles tan is a small country with a population of 8,000,000 that consists of four states, A, B, C, and D. There are 160 seats in the legislat

> Suppose that a country with a population of 10,000,000 has 250 legislative seats to be apportioned among four states, where each state has a different population. Determine a population for each state in which Hamilton’s method, Jefferson’s method, Webst

> Determine each shift’s apportionment using Webster’s method.A hospital has 200 nurses to be apportioned among four shifts: shifts A, B, C, and D. the hospital decides to apportion the nurses based on the average number

> Determine each shift’s apportionment using Adams’ method. A hospital has 200 nurses to be apportioned among four shifts: shifts A, B, C, and D. the hospital decides to apportion the nurses based on the average number

> Determine each route’s apportionment using Webster’s method. The Transit Department in the city of Houston has 100 new buses to be apportioned among six routes. The department decides to apportion the buses based on th

> Determine each route’s apportionment using Jefferson’s method. The Transit Department in the city of Houston has 100 new buses to be apportioned among six routes. The department decides to apportion the buses based on

> Determine each dealership’s apportionment using Adams’ method. A boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats based on the nu

> In Exercises 7–10, indicate if you believe that a correlation exists between the quantities on the horizontal and vertical axes. If so, indicate if you believe that the correlation is a strong positive correlation, a strong negative cor

> Determine each dealership’s apportionment using Jefferson’s method. A boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats based on t

> A university is made up of five colleges: Liberal Arts, Sciences, Engineering, Business, and Humanities. There are 250 new computers to be apportioned among the five colleges based on their enrollment shown in the table below. The total enrollment is 13,

> Determine each college’s apportionment using Adams’ method. A university is made up of five colleges: Liberal Arts, Sciences, Engineering, Business, and Humanities. There are 250 new computers to be apportioned among t

> Sandy Shores Resorts operates four beach resorts in the Caribbean islands. Sandy Shores Resorts plans to apportion 50 new beach umbrellas among the four resorts based on the number of rooms in each resort as shown in the table below. Determine each resor

> Sandy Shores Resorts operates four beach resorts in the Caribbean islands. Sandy Shores Resorts plans to apportion 50 new beach umbrellas among the four resorts based on the number of rooms in each resort as shown in the table below. Determine each resor

> A large hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of rooms in each hotel as shown in the table below. (a) Determine each hotel’s modified quota using the divisor 28.1. (b) Determine each

> Determine each hotel’s modified quota using the divisor 28. (b) Determine each hotel’s apportionment using Adams’ method. A large hotel chain needs to apportion 25 new staff members among three hotels

> Determine each hotel’s modified quota using the divisor 25.7. (b) Determine each hotel’s apportionment using Jefferson’s method. A large hotel chain needs to apportion 25 new staff members among three

> Determine each hotel’s apportionment using Hamilton’s method. A large hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of rooms in each hotel as shown in the table below.

> Suppose that turtles tan is a small country with a population of 8,000,000 that consists of four states, A, B, C, and D. There are 160 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in th

> Use the following graph. 8. Determine an Euler path that begins with vertex C. 10. Is it possible to determine an Euler circuit for this graph? Explain.

> Determine each state’s modified quota using the divisor 50,600. (b) Determine each state’s apportionment using Adams’ method. Suppose that turtles tan is a small country with a population of 8,000,000

> The planning committee of Tulsa Community College is considering three proposals, A, B, and C, for the design of a new technology building for the college. The nine members of the planning committee rank the proposals according to the preference table sh

> The children in Ms. Cohn’s seventh-grade class are voting on a theme for their class party. Their choices are beach (B), the world (W), superheroes (S), or rock and roll (R). The results are shown in the preference table below. (a) Whic

> Irvine Valley College is hiring a new director of counseling and advisement. The hiring committee ranks the four candidates, Alvarez (A), Brown (B), Singleton (S), and Yu (Y), according to the preference table below. Suppose that the Borda count method i

> Assume that a majority is needed to win the election. Since no candidate has a majority but C has the most firstplace votes, a runoff election is held between A and B. The winner of the runoff election will run against C. (a) Using the plurality method,

> The City of Detroit is electing a communications director. The choices for the position are Allen (A), Brady (B), Conrad (C), Davis (D), and Evers (E). The election is conducted, and the preference table is shown below. Before calculating the results of

> The Motley Crew Investing Club wishes to purchase stock in a pharmaceutical company. The choices are American Pharmacy (A), BurrowsWelcome (B), Chicago Labs (C), Dow Chemical (D), and Emerging Medicines (E). The choice rankings are shown in the following

> Majority Criterion Suppose that the Borda count method is used on the following preference table. Is the majority criterion satisfied?

> Irrelevant Alternatives Criterion Suppose that the pairwise comparison method is used on the following preference table. If A, B, and E drop out, is the irrelevant alternatives criterion satisfied? Explain.

> Monotonicity Criterion Suppose that the Borda count method is used on the following preference table. If the five voters who voted D, A, C, B, in that order, change their votes to A, B, D, C and the three voters who voted C, A, D, B, in that order, chang

> For a small conference, organizers estimate that 195 people will attend if Dr. Tiebol is the guest speaker and 80 people will attend if she is not the guest speaker. There is a 40% chance that the organizers will be able to get Dr. Tiebol as the guest sp

> A distribution in which the frequency is either constantly increasing or constantly decreasing is called a(n) ______distribution. 4. A distribution in which two nonadjacent data values occur more frequently than any other values in a set of data is calle

> Monotonicity Criterion Suppose that the plurality with elimination method is used on the following preference table. If the three voters who voted C, B, A, in that order, change their vote to B, C, A, is the monotonicity criterion satisfied? Explain.