Question: Construct a set of six pieces of

> Assume that you are blind folded and throw a dart at the dart board shown below. Assume that your dart sticks in the dart board, and not on a line. (a) Determine the probabilities that the dart lands on $1, $10, $20, and $100, respectively. (b) If you wi

> The ratio of the probability that the event will occur to the probability that the event will fail to occur is called the odds ________ an event. (4). If the odds against winning at Monopoly are 5 : 1, then the odds in favor of winning at Monopoly are __

> Suppose that the probability that a mechanic fixes a car correctly is 0.9. Determine the odds against the mechanic fixing a car correctly.

> Consider the following five sets of values. (a) Compute the mean of each of the five sets of data. (b) Compute the mean of the five means in part (a). (c) Find the mean of the 27 pieces of data. (d) Compare your answer in part (b) to your answer in part

> The maps of states that are in other Navy regions (see Example 4 on page 815) are shown. Use these graphs to complete the exercises. Navy Region Southeast (a) Represent the map as a graph. Use the state abbreviations to label the vertices of the graph. (

> Write the statements in symbolic form. Let P: The temperature is 908. Q: The air conditioner is working. R: The apartment is hot. 50. The temperature is not 90° and the air conditioner is working, but the apartment is hot. 52. If the temperature is 90°,

> The expenses for Jorge, a real estate agent, to list, advertise, and attempt to sell a house are $1400. If Jorge succeeds in selling the house, he will receive a commission of 6% of the sales price. If an agent with a different company sells the house, J

> Jonathan took an admission test for the University of California and scored in the 85th percentile. The following year, Jonathan’s sister Kendra took a similar admission test for the University of California and scored in the 90th percentile. (a) Is it p

> CPI Use the following table. CPI represents consumer price index. (a) Calculate r. (b) If 2008 is subtracted from each year, the table obtained becomes: If r is calculated from these values, how will it compare with the r determined in part (a)? Explain.

> Don is considering bringing a lawsuit against the Dummote Company. His lawyer estimates that there is a 70% chance Don will make $60,000, a 10% chance Don will break even, and a 20% chance they will lose the case and Don will need to pay $30,000 in legal

> The prices of the 20 top-rated top-loading washing machines, as reported in the August, 2014, issue of Consumer Reports, are as follows: Determine (a) Q2 (b) Q1 (c) Q3

> What percent of students who took the test have a mathematics score above 680? 50. What percent of students who took the test have a mathematics score below 300? 52. What percent of students who took the test have a mathematics score above 480?

> A candidate who wins a first election, then gains additional support without losing any of the original support, should also win a second election. This criterion is called the _________ criterion. 4. If a candidate is the winner of an election and in a

> Attempt to draw a graph that has an odd number of odd vertices. What conclusion can you draw from this exercise?

> The tables on page 765 list the 10 highest-paid athletes in Major League Baseball and in the National Football League. (a) Without doing any calculations, which do you believe is greater, the mean salary of the 10 baseball players or the mean salary of

> The following circle graph shows the percent of Americans with the various types of blood. The probability that the person has B- blood. (48). The following circle graph shows the percent of Americans with the various types of blood. The odds in favor of

> The owner of an antique store estimates that there is a 40% chance she will make $2000 when she sells an antique china cabinet, a 50% chance she will make $750 when she sells the cabinet, and a 10% chance she will break even when she sells the cabinet. D

> A union leader is told that, when all workers’ salaries are considered, the first quartile is $27,750. Explain what that means.

> Consider the following graph, which shows the U.S. population in 2000 and the projected U.S. population in 2050. / (a) Compute the projected percent increase in population from 2000 to 2050 by using the formula given on page 565. (b) Measure the radius

> By studying the standard deviation formula, explain why the standard deviation of a set of data will always be greater than or equal to 0.

> A mechanical contractor is preparing for a construction project. He determines that if he completes the project on schedule, his net profit will be $450,000. If he completes the project between 0 and 3 months late, his net profit decreases to $120,000. I

> Josie scored in the 73rd percentile on the verbal part of her College Board test. What does that mean?

> Assume the hold time of callers to General Cable is normally distributed with a mean of 3.0 minutes and a standard deviation of 0.8 minute. 44. Determine the percent of callers who are on hold between 2.2 minutes and 4.6 minutes. 46. In a random sample o

> A table that summarizes the results of an election is called a (n) _________ table. 4. When using the pair wise comparison method, the number of comparisons, c, needed when there are n candidates is determined by the formula c =_________. 6. In the Borda

> In Exercises 42, assume that the heights of 7-year-old girls are normally distributed. The heights of 8 girls are given in z-scores below. (a) Which girl is the tallest? (b) Which girl is the shortest?

> Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why.

> According to Bristol Mutual Life Insurance’s mortality table, the probability that a 20-year-old woman will survive 1 year is 0.994 and the probability that she will die within 1 year is 0.006. If a 20-year-old woman buys a $10,000 1-year policy for $100

> The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was $85.20. Later Mrs. Taylor discovered that 1 week’s expense of $74 was incorrectly recorded as $47. What is the correct mean?

> Suppose that the people of Königsberg decide to add severa bridges to their city. Two such possibilities are shown. (a) Would the townspeople be able to walk across all the bridges without crossing the same bridge twice? (b) If so, where sho

> Consider the set of data 1, 1, 1, 2, 2, 2. If one 2 is changed to a 3, which of the following will change: mean, median, mode, midrange?

> Write the compound statement in words. Let p: Joe has an I Pad. q: Brie has a Mac Book 40. (P( 42. q (( p 44. (p ( (q 46. ((q ( p) 48. (p ( (q

> When playing bingo, 75 balls are placed in a bin and balls are selected at random. Each ball is marked with a letter and number as indicated in the following chart. For example, there are balls marked B1, B2, up to B15; I16, I17, up to I30; and so on (se

> Use Fleury’s algorithm to determine an Euler circuit. 40. 42. 44.

> The map of the Crescent Lakes subdivision in Essex County, Maryland, is shown below. Use a graph to represent the streets in this subdivision. Use letters to label the vertices.

> A graph that has numbers along the edges to indicate cost or distance is called a (n)________ graph. 4. A graph that has exactly one edge between each pair of vertices is called a(n)________ graph. 6. In a traveling salesman problem, the Hamilton circuit

> Christine took a world cruise that had a cash price of $23,000 by paying 10% down and financing the balance with a 48-month fixed installment loan. The APR on the loan was 6.0%. Before making the 12th payment, Christine decides to pay off the loan. (a) D

> In Exercises 38, use the following table. 38. (a) Draw a bar graph that appears to show a small increase in the median age at first marriage for female (b) Draw a bar graph that appears to show a large increase in the median age at first marriage for f

> Which of the measures of central tendency must be an actual piece of data in the distribution?

> A person randomly selects one of the four envelopes shown below. Each envelope contains a check that the person gets to keep. However, before the person can select an envelope, he or she must pay $15 to play. Determine the person’s expe

> A connected graph is shown. Identify anybridges in each graph. 38. 40.

> The odds against Ishaq getting hired for a job are 3: 8. Determine the probability (a) Ishaq gets hired. (b) Ishaq does not get hired.

> Suppose the Chans in Exercise 16 use a credit card rather than an installment plan. Assume that they make the same down payment, have no finance charge the first month, make no additional purchases on their credit card, and pay $432 per month plus the fi

> The following table shows the number of international visitors to the United States, in millions, for the years 2009–2012. Draw a line graph that makes the increase in the number of international visitors to the United States appear to

> A mean average of 80 or greater for five exams is needed for a final grade of B in a course. Jorge’s first four exam grades are 73, 69, 85, and 80. What grade does Jorge need on the fifth exam to get a B in the course?

> Use fleury’s algorithm to determine an Euler path. 36. 38.

> 2. A point in a graph is called a(n) ___________. 4. An edge that connects a vertex to itself is called a(n)__________. 6. A path that begins and ends with the same vertex is called a (n)_____________ . 8. A bridge is an edge that, if removed from a c

> The odds in favor of Sam selling his motorcycle are 3 : 10. Determine the probability that Sam will (a) Sell his motorcycle. (b) Not sell his motorcycle.

> Comparing Loan Options Sara wants to purchase a new television set. The purchase price is $890. If she purchases the set today and pays cash, she must take money out of her savings account. Another option is to charge the TV on her credit card, take the

> The map below shows the countries of Algeria (A), Egypt (E), Libya (L), Morocco (M), Sudan (S), Tunisia (T), and Western Sahara (W). Represent the map as a graph where each vertex represents a country and each edge represents a common border between the

> The following table shows the number of weekly television advertisements and the number of cars sold for an 8-week period at a car dealership. (a) Determine the correlation coefficient between the number of weekly television advertisements and the number

> Write the statement in symbolic form. Let p: The chili is spicy. q: The sour cream is cold. 34. If the chili is spicy, then the sour cream is not cold. 36. Neither is the chili spicy nor is the sour cream cold. 38. It is false that if the sour cream is n

> Assume that a person spins the pointer and is awarded the amount indicated by the pointer. If it costs $2 to play the game, determine (a) The expectation of a person who plays the game. (b) The fair price to play the game. (36). Assume that a person spin

> Determine whether the graph shown is connected or disconnected. 34. 36.

> A box contains 9 red and 2 blue marbles. If you select one marble at random from the box, determine the odds against selecting a blue marble.

> Travis uses his credit card to obtain a cash advance of $600 to pay for his textbooks in medical school. The interest rate charged for the loan is 0.05477% per day. Travis repays the money plus the interest after 27 days. Charge starting with the second

> 2. A statement that conveys only one idea is called a(n)_________statement. 4. Words such as all, none (or no), and some are examples of_________ 6. (a) The conditional is symbolized by S and is read “ _________” b) The biconditional is symbolized by 4 a

> The process of determining the linear relationship between two variables is called ___ linear. 4. If one quantity increases as the other quantity decreases, the two variables are said to have a(n) correlation. 6. A plot of data points is called a(n) ____

> In New Jersey, an indigent patient admitted to a medical care facility through the regular admissions process is responsible for applying to the state for assistance in paying the bill. In contrast, an indigent patient admitted on an emergency basis is n

> Bed Bath & Beyond Inc. sold a ceramic pot, called the “Fire Burners” Pot, with a stainless steel fuel reservoir at its centre and a bottle of gelled fuel called “Fire Gel.” A red sticker on the fire pot warned, “DON’T REFILL UNTIL FLAME IS OUT & CUP IS C

> Priscilla Dickman worked as a medical technologist at the University of Connecticut Health Center for twenty-eight years. Early in her career at the Health Center, Dickman sustained a back injury while at work. The condition eventually worsened, causing

> Dave graduates from State University with an engineering degree and goes into business as a self-employed computer programmer. 1. Ownership of Personal Property. To advertise his services on the Internet, Dave creates and produces a short digital video.

> Alpha Software, Inc., and Beta Products Corporation—both small firms—are competitor’s in the business of software research, development, and production. 1. Antitrust Law. Alpha and Beta form a joint venture to research, develop, and produce new software

> John leases an office and buys computer equipment. Initially, to pay for the lease and the equipment, he goes into the business of designing applications for smartphones. He also has an idea for a new software product that he hopes will be more profitabl

> Two brothers, Ray and Paul Ashford, start a business—Ashford Brothers, Inc.—manufacturing a new type of battery system for hybrid automobiles. The batteries hit the market at the perfect time and are in great demand. 1. Agency. Loren, one of Ashford’s sa

> Sonja owns a bakery in San Francisco. 1. Secured Transactions. Sonja wants to borrow $40,000 from Credit National Bank to buy coffee-brewing equipment. If Credit National accepts Sonja’s equipment as collateral for the loan, how does it let other potenti

> My Pie, LLC, operates a casual restaurant that features pizzas baked in a wood-fired oven, cookie-and-ice-cream desserts, and craft brews. 1. Negotiable Instruments. Every four weeks, Fresh Food Distribution Network sells My Pie the food and beverages th

> Green Dollar, LLC, owns and operates retail stores that feature bargain-priced goods for budget minded consumers. 1. The Formation of Sales and Lease Contracts. Green Dollar decides to install solar panels on the roof of one of its stores as part of a ne

> Simmons v. Smith United States Court of Appeals, Eighth Circuit, 888 F.3d 994 (2018). Background and Facts, The Niobrara River runs through northern Nebraska before flowing into the Missouri River along the border between Nebraska and South Dakota. Pursu

> Alberto Corelli offers to pay $2,500 to purchase a painting titled Moonrise from Tara Shelley, an artist whose works have been causing a stir in the art world. Shelley accepts Corelli’s offer. Assuming that the contract has met all of the requirements fo

> Nondisclosure agreements (NDAs), or confidentiality agreements, are contracts that require one or more parties to keep quiet about a stated piece of information, whether it is a company’s trade secrets or a politician’s extramarital affairs. NDAs are qui

> CompTac, Inc., which is headquartered in San Francisco, California, is one of the leading software manufacturers in the United States. The company invests millions of dollars to research and develop new software applications and computer games, which are

> Joan owns and operates an antique furniture store in Eugene, Oregon. Initially, Joan’s customers were from Eugene and nearby towns in Oregon. Today, through her website, she also sells furniture to buyers around the country. 1. Jurisdiction. Joan contrac

> Methamphetamine (meth) is an addictive drug made chiefly in small toxic labs (STLs) in homes, tents, barns, and hotel rooms. The manufacturing process is dangerous, often resulting in explosions, burns, and toxic fumes. Government entities spend time and

> Bret D’Auguste was an experienced skier when he rented equipment to ski at Hunter Mountain Ski Bowl in New York. When D’Auguste entered an extremely difficult trail, he noticed immediately that the surface consisted of ice with almost no snow. He tried t

> Adverse Possession, The Wallen family owned a cabin on Lummi Island in the state of Washington. A driveway ran from the cabin across their property to South Nugent Road. Floyd Massey bought the adjacent lot and built a cabin on it in 1980. To gain access

> On learning that Sébastien planned to travel abroad, Roslyn asked him to deliver $25,000 in cash to her family in Mexico. During a customs inspection at the border, Sébastien told the customs inspector that he carried less than $10,000. The officer disco

> Kathleen Dodge was a flight attendant for United Continental Holdings, Inc. (UCH). After being assigned to work in Paris, France, she became pregnant. Because UCH does not allow its flight attendants to fly during their third trimester of pregnancy, Dodg

> Milena Weintraub and Larry Griffith were shareholders in Grand Casino, Inc., which operated a casino in South Dakota. Griffith owned 51 percent of the stock and Weintraub 49 percent. Weintraub managed the casino, which Griffith typically visited once a w

> Harun v. Rashid Court of Appeals of Texas, Dallas, 2018 WL 329292 (2018). Background and Facts Mohammed Harun was interested in opening a new restaurant, SpiceN-Rice, in Irving, Texas, but lacked the financial resources to do so. He asked Sharif Rashid i

> Liability of Partners. At least six months before the Summer Olympic Games in Atlanta, Georgia, Stafford Fontenot and four others agreed to sell Cajun food at the games and began making preparations. On May 19, the group (calling themselves “Prairie Caju

> Immigration. Nicole Tipton and Sadik Seferi owned and operated a restaurant in Iowa. Acting on a tip from the local police, agents of Immigration and Customs Enforcement executed search warrants at the restaurant and at an apartment where some restaurant

> Dean Brothers Corp. owns and operates a steel drum manufacturing plant. Lowell Wyden, the plant superintendent, hired Best Security Patrol, Inc. (BSP), a security company, to guard Dean property and “deter thieves and vandals.” Some BSP security guards,

> John Warren wanted to buy a condominium in California. Hildegard Merrill was the agent for the seller. Because Warren’s credit rating was poor, Merrill told him he needed a co-borrower to obtain a mortgage at a reasonable rate. Merrill said that her daug

> Peter Gowin was an employee of a granite countertop business owned by Joann Stathis. In November 2026, Gowin signed a promissory note agreeing to pay $12,500 to become a co-owner of the business. The note was dated January 15, 2026—ten months before it w

> Milan purchased saffron extract, marketed as “America’s Hottest New Way to a Flat Belly,” online from Dr. Chen. The website stated that recently published studies showed a significant weight loss (more than 25 percent) for people who used pure saffron ex

> Kodiak agrees to sell one thousand espresso machines to Lin to be delivered on May 1. Due to a strike during the last week of April, there is a temporary shortage of delivery vehicles. Kodiak can deliver the espresso makers two hundred at a time over a p

> Techplate Corporation learns that a federal administrative agency is considering a rule that will have a negative impact on the firm’s ability to do business. Does the firm have any opportunity to express its opinion about the pending rule? Explain.

> Brian owes Jeff $1,000. Ed tells Brian to give him the $1,000 and he will pay Jeff. Brian gives Ed the $1,000. Ed never pays Jeff. Can Jeff successfully sue Ed for the $1,000? Why or why not?

> Elle, an accountant, certifies several audit reports for Flite Corporation, her client, knowing that Flite intends to use the reports to obtain loans from Good Credit Company (GCC). Elle believes that the reports are true and does not intend to deceive G

> Caterpillar, Inc. v. Sudlow Court of Appeals of Indiana, 52 N.E.3d 19 (2016). Background and Facts The firearms policy at a Caterpillar, Inc., facility in Indiana allowed employees who were legally permitted to possess firearms to store the weapons in th

> Creating Liability Waivers That Are Not Unconscionable Blanket liability waivers that absolve a business from virtually every event, even those caused by the business’s own negligence, are usually unenforceable because they are unconscionable. Exculpator

> Commercial Use of Drones The commercial use of drones—small, pilotless aerial vehicles—has been relatively slow to develop in the United States. Possible commercial uses of drones are numerous—railroad track inspection, oil and gas pipeline review, medic

> Can a River Be a Legal Person? Years ago, a famous law journal article entitled, “Should Trees Have Standing?” addressed the issue of who has the legal right to bring a lawsuit when nature is involved. That issue remains with us today. To have standing,

> Does Cloud Computing Have a Nationality? Most people use “the cloud” for the storage of their digital data—photos, e-mails, music, documents, and just about anything else. Not surprisingly, major global digital players like Apple, Amazon, Google, and Mic

> Should an Innocent General Partner Be Jointly Liable for Fraud? When general partners in a limited partnership jointly engage in fraud, there usually is no question that they are jointly liable. But if one general partner engages in fraud and the other i

> Is It Ethical (and Legal) to Brew “Imported” Beer Brands Domestically? Imported beer represents over a quarter of total beer purchases in the United States. While imported beer generally costs more than domestic beer, those who purchase and consume it be

> Does Everyone Have a Constitutional Right to Use Social Media? Social media have become the predominant means by which many Americans communicate, obtain news updates, and discover what is “trending.” At least one state, though, legislated a ban on the u

> The European Union Issues Record Fines Against Google in Antitrust Case. “Just google it.” Google’s search engine is so dominant that the company name has become a verb synonymous with conducting an Internet search. According to the European Commissioner

> Investment Crowdfunding—Regulations and Restrictions Small entrepreneurs today can gain access to public funds through crowdfunding without filing a registration statement with the Securities and Exchange Commission (SEC). Generally, crowdfunding refers

> Secured Transactions—Escrow Services Online When you buy something online, you typically must use your credit card, make an electronic fund transfer, or send a check before the goods you buy are sent to you. If you are buying an expensive item, such as a