Concept explainers
The student body at Eureka High School is having an election for Homecoming Queen. The candidates are Alicia, Brandy, Cleo, and Dionne (
Table 1-26
|
202 | 160 | 153 | 145 | 125 | 110 | 108 | 102 | 55 |
1st | B | C | A | D | D | C | B | A | A |
2nd | D | B | C | B | A | A | C | B | D |
3rd | A | A | B | A | C | D | A | D | C |
4th | C | D | D | C | B | B | D | C | B |
a. How many students voted in this election?
b. How many first-place votes are needed for a majority?
c. Which candidate had the fewest last-place votes?
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
EXCURSIONS IN MODERN MATH
Additional Math Textbook Solutions
Mathematical Methods in the Physical Sciences
Basic College Mathematics
MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
Mathematics for Elementary Teachers with Activities (5th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
- A Senior High School class held an election for class president. Instead of just voting for one candidate, the students needed to rank all the candidates according to preference. The table presents the results. RANKINGS Anton 2 3 1 3 4 2 Maria 4 1 3 4 1 3 Shelly 1 2 2 2 3 4 Troy 3 4 4 1 2 1 Number of Votes 36 53 41 27 31 45 1. Who is the winner by plurality? 2. What is the majority number of votes?arrow_forwardUse the pairwise comparison method to determine the winner of the election. Four students are running for president of the school: • Ariana (A), Brett (B), • Carlos (C), and • DeeDee (D). The 5 clubs and their members were asked to rank all candidates. Clubs 1 2 3. 4 Number of Votes 7 13 10 19 15 First A В Second В D A D D Third C A В A Fourth C В A В a A b В C d O O O Oarrow_forwardUse the Borda count method to determine the winner of the election? Four students are running for president of the school: • Ariana (A), Brett (B), • Carlos (C), and • DeeDee (D). The 5 clubs and their members were asked to rank all candidates. Clubs 1 3 4 Number of Votes 19 15 11 7 2 First A B Second В A Third A C A Fourth D C В A В a A В d O O O Oarrow_forward
- A group of 249 students vote for their favorite restaurant. There are many variables involved in voting and various methods to determine the winner. If 61 vote for restaurant A, 58 for restaurant B, 42 for restaurant C, 46 for restaurant D, and 42 for restaurant E, who is the obvious winner? Choose the correct answer below. OA. restaurant A B. restaurant C C. restaurant D D. restaurant B OE. restaurant E 3 3arrow_forwardA Senior High School class held an election for class president. Instead of just voting for one candidate, the students needed to rank all the candidates according to preference. The table presents the results. RANKINGS Rey 2 3 1 3 4 2 Allyson 4 1 3 4 1 3 Michelle 1 2 2 2 3 4 Carlo 3 4 4 1 2 1 Number of Votes 36 53 41 27 31 45 1.What is Total Number of Votes 2. what is the ajority number of Votes 3. who is the winner by Plurality 4. who is the winner by Borda Count Methodarrow_forwardTim and Hank are college dormmates. They are graduating and decide todivide some items they have shared over the years. Their preferences are given in the table below. Use the bottom-up method to determine the items that belong to Tim if Tim gets to choose first. Enter your answer as three letters without space in between. For example, if Tim gets Airbed, Bar Stool, and Couch, enter ABC.arrow_forward
- Students at your college are given the option of choosing a (4) topic for which a speaker will be selected. Students are asked to rank three topics: Technology (T), Environmental Issues (E), and Terrorism in the Name of Religion (R). The results of the election are shown in the following preference table. Number of Votes 70 30 10 5 First Choice R T T E Second Choice E R E T Third Choice T E R R a. How many students voted? b. How many students selected the topics in this order: T, E, R? How many students selected technology as their first choice for a speaker's topic? d. How many students selected environmental issues as their second choice for a speaker's topic?arrow_forwardAn election is held to choose the chair of a department at a university. The candidates are Professors Argand, Brandt, Chavez, Dietz, and Epstein (A, B, C, D, and E for short). The following table gives the preference schedule for the election. Use the table to complete parts (a) through (c). Number of Voters 4 3 6. 3 4 1st choice B B A A 2nd choice A C D A D 3rd choice 4th choice D A D B. B. E B B 5th choice E A D E (a) How many people voted in this election? voters (Type a whole number.) (b) How many first-place votes are needed for a majority? The smallest number for a majority is votes. (e) Which candidate had the fewest last-place votes? B. Aarrow_forwardEmployees at the Me, My Mop and I cleaning service are choosing a new company logo. The choices are a mop (M), a broom and dustpan (B), and a vacuum cleaner (V). Each employee ranks the three choices from first to third. The preference table below shows the results of the ballots. Number of Votes First Second Third 20 3 M V V M B B 17 8 10 19 V M B B B M M M V V B V Determine the winner using the plurality method. O A. broom and dustpan B. mop O C. vacuumarrow_forward
- Please choose from the choices a,b,c,d,e. Thank youarrow_forwardUse the plurality with elimination method to determine the winner of the election. Four students are running for president of the school: • Ariana (A), Brett (B), • Carlos (C), and DeeDee (D). The 5 clubs and their members were asked to rank all candidates. Clubs 1 3 4 Number of Votes 19 15 11 7 2 First A В C Second В D A D Third C A A Fourth D C В В a A b C d OBA O O O Oarrow_forwardUse the Condorcet method to determine the winner of the election. Four students are running for president of the school: • Ariana (A), • Brett (B), • Carlos (C), and • DeeDee (D). The 5 clubs and their members were asked to rank all candidates. Number of Voters Preference Order 1st to last 19 A C D 15 В D A C 11 D A C В 7 D В A D A В a A b В C d No Condorcet winner O O O Oarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill