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Political Campaign A citizen decides to campaign for the election of a candidate for city council. Her goal is to generate at least 210 votes by a combination of door-to-door canvassing, letter writing, and phone calls. She figures that each hour of door-to-door canvassing will generate four votes, each hour of letter writing will generate two votes, and each hour on the phone will generate three votes. She would like to devote at least seven hours to phone calls and spend at most half her time at door-to-door canvassing. How much time should she allocate to each task in order to achieve her goal in the least amount of time?
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Chapter 4 Solutions
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
- An athletics coach is training three runners Nicole, Kevin, and Ivko to compete in a 10-mile race. He can only enter two of the runners and needs to decide which runner will not be entered. He knows how many minutes it has taken each runner to run 10 miles in their training sessions: Nicole 70 58 58 65 59 60 66 59 65 65 66 65 Kevin 62 60 60 64 86 64 64 61 59 62 64 62 Ivko 65 63 62 64 62 65 65 65 65 64 Round your answers to 1 decimal place. You do not need to specify the units, such as minutes. Mean Median Mode Standard Deviation Quartile 1 Quartile 3 IQR Range Coefficient of Variation Nicole Kevin Ivko Using the answers above, make a statistical based case for why the coach should NOT enter Nicole into the race. Using the answers above, make a statistical based case for why the coach should NOT enter Ivko into the race.…arrow_forwardBased on your decisions from the previous problem, find the correct number of possible options for each situation. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. Wilbur has homework assignments in seven subjects. He only has time to do five of them. The batting order for 9 players on a team of 11 players. A class of 20 students needs to elect 4 student council representatives.arrow_forwardRaaj works at the customer service call center of a major credit card bank. Cardholders call for a variety of reasons, but regardless of their reason for calling, if they hold a platinum card, Raaj is instructed to offer them a double-miles promotion. About 6% of all cardholders hold platinum cards, and about 51% of those will take the double-miles promotion. On average, how many calls will Raaj have to take before finding the first cardholder to take the double-miles promotion? ail f 2.525 calls (Round up to the nearest call.)arrow_forward
- in an election, everyone votes for either candidate A or Candidate B. after 60% of the votes are counted, candidate A is leading 60% to 40%. That means that B must get what percentage of the remaining votes to have the same number of votes as A.arrow_forwardTravel agents for a company are paid 17% commission on their holiday sales. The company offers trips to New Zealand and customers can choose from standard, deluxe or luxury packages. During one week, George sells 3 standard, 1 deluxe and 1 luxury holiday. Shirl sells 1 standard, 4 deluxe and 1 luxury holiday. Robert sells 2 standard and 2 luxury holidays. For that week George’s commission was $10,223.46, Shirl’s was $14,005.96 and Robert’s was $9,311.92. Solve using Cramer’s Rule to find the price of each holiday.arrow_forwardA city with 8000 registered voters has 4 candidates running for the city Mayor.Last week, 650 voters were randomly chosen and asked if they would vote for Peter Griffin (one of the candidates), and 35 % responded they would.On the election day, 34 % of the registered voters actually voted for Peter Griffin. Which option? A . 4 B. 34 % C. 8000 D. 650 E. 35 % F. Unknownarrow_forward
- Jayanta is raising money for the homeless and discovers each church group requires 2 hr of letter writing and 1 hr of follow-up calls, while each labor union needs 2 hr of letter writing and 3 hr of follow-up. She can raise $150 from each church group and $175 from each union. She has a maximum of 20hours of letter writing and 14 hours of follow-up available each month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.arrow_forwardJose visits campus every Thursday evening. However, some days the parking garage is full, often due to college events. There are academic events on 35% of evenings, sporting events on 20% of evenings, and no events on 45% of evenings. When there is an academic event, the garage fills up about 25% of the time, and it fills up 70% of evenings with sporting events. On evenings when there are no events, it only fills up about 5% of the time. If Jose comes to campus and finds the garage full, what is the probability that there is a sporting event? A. Draw a tree diagram (marginal probabilities in the primary branch and conditional probabilities in the secondary branches). B. What is the probability that there is a sporting event when Jose finds the garage full?arrow_forwardArt Kumar lives on the outskirts of Draper and has a 1-acre lot next to his home. He plans to grow vegetables on the lot and sell them at the downtown market during the summer. He doesn’t have enough time to grow the vegetables himself, so he has hired a local college student to plant and tend the garden and sell the crops at the market. Art is considering five vegetables to plant that seem to be popular at the market—asparagus, corn, tomatoes, green beans, and red peppers. Art estimates the following yields per acre for each vegetable—2,000 pounds of asparagus, 7,200 pounds of corn, 25,000 pounds of tomatoes, 3,900 pounds of green beans, and 12,500 pounds of red peppers. The costs per acre are $1,800 for asparagus, $1,740 for corn, $6,000 for tomatoes, $3,000 for green beans, and $2,700 for red peppers. Asparagus sells for $1.90 per pound, corn sells for $0.10 per pound, tomatoes sell for $3.25 per pound, green beans sell for $3.40 per pound, and red peppers sell for $3.45 per pound.…arrow_forward
- Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 7 vans and 8 buses with 254 students. High School B rented and filled 14 vans and 9 buses with 347 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?arrow_forwardFarmer Jones must determine whether to plant corn orwheat. If he plants corn and the weather is warm, he earns$8,000; if he plants corn and the weather is cold, he earns$5,000. If he plants wheat and the weather is warm, heearns $7,000; if he plants wheat and the weather is cold, heearns $6,500. In the past, 40% of all years have been coldand 60% have been warm. Before planting, Jones can pay$600 for an expert weather forecast. If the year is actuallycold, there is a 90% chance that the forecaster will predicta cold year. If the year is actually warm, there is an 80%chance that the forecaster will predict a warm year. Howcan Jones maximize his expected profits? Also find EVSIand EVPI.arrow_forwardAn angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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