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The seniors at Weseltown High School are voting for where to go for their senior trip. They are deciding on Angel Falls
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Is there a majority winner? If not, is there a plurality winner? Does this violate the Condorcet criterion?
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Chapter 17 Solutions
Nature of Mathematics (MindTap Course List)
- The members of campus club are having a cleanup drive.There are three departments who will participate theactivity: BSAB, BSPA, and BSCD. The members areasked to rank these choices in order of preference (table). f. Use Borda Count method to determine the winner.g. How many points did the winner in letter (f) receive?arrow_forwardThe students in a class get to decide on the color of the classroom. The two choices are blue and yellow. Polling shows yellow is preferred by a small majority, 53% for yellow to 47% for blue. However, before the vote is held, a new color choice is added: red. Not a lot of people like red, but there are some yellow supporters who would actually vote for red. The results of the vote are below. Blue Yellow Red 46% 44% 10% What statement below is correct about adding a third choice to the plurality vote? O a Ob Oc d Red did not win the vote, but it draws enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, but it had no effect on drawing enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, so because of this, yellow should win the vote over blue.…arrow_forwardMAKE SURE TO USE EXCEL otherwise it wouldnt help me at all and then i have to give tou a down vote. so please use EXCEL.arrow_forward
- The city of Raleigh has 7400 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 550 randomly selected registered voters was conducted. 232 said they'd vote for Brown, 288 said they'd vote for Feliz, and 30 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: Divide the number who said they would vote for Brown by the sample size. The proportion should be a fraction or decimal to 4 places, not a percent.arrow_forwardThe city of Raleigh has 9500 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 112 said they'd vote for Brown, 207 said they'd vote for Feliz, and 31 were undecided. a. What is the population of this survey? b. What is the size of the population? c. What is the size of the sample? d. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. e. Based on this sample, we might expect how many of the 9500 voters to vote for Brown?arrow_forwardIn a recent survey, people were asked to vote for their favorite films of all time. The five movies were A, B, C, D, and E. Use the following hypothetical results and answer the questions below. Number of Votes 21 First Choice Second Choice ZABDEC FOABDE Third Choice Forth Choice Fifth Choice 17 14 C D A C B E DUBAED 10 ... Using the Borda count method, which movie came in first place? A. Movie A B. Movie E OC. Movie C OD. Movie B OE. Movie D Using the Borda count method, how many points did the first place movie get?arrow_forward
- The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Votes 3 6 1 5 1st Berlin Anton Charles Dianne 2nd Charles Berlin Berlin Berlin 3rd Dianne Charles Anton Charles 4th Anton Dianne Dianne Anton Who is the Hare system winner? Group of answer choices Charles Anton Dianne Berlinarrow_forwardThe members of campus club are having a cleanup drive.There are three departments who will participate theactivity: BSAB, BSPA, and BSCD. The members areasked to rank these choices in order of preference ,andthe results are summarized in the following preferencetable (attached) b. Use the plurality method to determine the winner.c. What percent of the votes did the winner in letter (b)receive?d. Use the majority method to determine the winner.arrow_forwardTo decide on a movie to watch, a group of friends all vote for one of the choices (labeled A, B, and C). The individual ballots are shown below. Create a preference table.CAB, CBA, BAC, BCA, CBA, ABC, ABC, CBA, BCA, CAB, CAB, BACarrow_forward
- Two hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.arrow_forwardAfter grading the take-home assignments, Mr. Montes randomly selects 5 take-home assignments to analyze. He considers the student’s responses to the three multiple choice questions, which are as shown. Student 1: {C, A, C} Student 2: {C, B, B} Student 3: {C, B, C} Student 4: {C, B, A} Student 5: {C, A, A} 7. The correct responses for the multiple choice questions are, in order, C, B, and A. If Set 1 represents the subset of these students who answered C for number 1, Set 2 represents the subset of these students who answered B for number 2, and Set 3 represents the subset of students who answered A for number 3, find each of the following. Explain what each notation means in context of this scenario. a. Set 1 ∩ Set 2 b. Set 2 ∪ Set 3 c. The complement of Set 1 8. Amisha was too tired to work on the take home assignment Mr. Montes gave her, so she randomly selected answers without reading any of the questions. Suppose that you wanted to find the odds that Amisha answered at least…arrow_forwardTo decide on a new website design, the designer asks people to rank three designs that have been created (labeled A, B, and C). The individual ballots are shown below. Create a preference table.ABC, ABC, ACB, BAC, BCA, BCA, ACB, CAB, CAB, BCA, ACB, ABCarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill