Consider the weighted voting system [q: 11, 8, 7, 5, 2]a. What is the total weight of the system? 33b. What is the smallest value that the quota q can take? 18c. What is the largest value that the quota q can take? 33d. What is the weight of the coalition formed by P₁ and P3? 18e. For what values of the quota q is the coalition formed by P₁ and P2 a winning coalition? Enter values in increasing orderseparated by a comma but no spaces. |

Given: The weighted voting system is given. To find: The main aim is to find the total weight of the…

Answered: Consider the weighted voting system [q:…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...

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Similar questions

In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?
A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can the shop choose 2 Guatemalan, 2 Cuban, and 3 Costa Rican roasts for a coffee tasting event?
Pet Owners According to the Humane Society, in 2015, 65% of U.S. households owned at least one pet, and 42% of households who did own pets owned at least two. The U.S. Census Bureau tells us that there were 117 million households in 2015. How many households owned at least two pets? Report your answer in millions rounded to two places.
plz explain in detail
Four candidates: Rhea , Charles ,John , and Wilson arerunning four Councilor. After the polls close, votes aretallied and the following results are obtained:Candidate and Number of votes:Rhea - 2,567 Charles - 2,445 John - 5,100 Wilson - 2,365b. How many votes were castsc. Using plurality method of voting which candidate wins?d. Did the winner receive a majority of the votes?
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 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 Method
The 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.…
How many first place votes are needed for a majority?
A new overhead projector is to be purchased for one of the divisions. If Huntington-Hill's plan is to be used, which division will the new overhead projector be assigned using the apportionment principle?

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