Another community college is considering how to offer courses. Their  faculty members were asked to rank these three options. The results are as follows.  This time, use the Instant Runoff Voting (IRV) to determine the winner. # of votes 11 14 15 10 1st choice R H F H 2nd choice H R H F 3rd choice F F R R Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER. No credit is given unless you justify your answer.

Imagine a Magic Dollar bill, which makes a clone of itself (thus doubling in number) every night. On May 1, you found one Magic Dollar bill. On May 2, there were two Magic Dollar bill. On May 3, there were four, and so on.  How many Magic Dollar Bills will there be on May 26? Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER, which you will submit after this online portion is completed.

Hamilton’s Method for apportionment could result in the Alabama Paradox. 

Which method of election uses pairwise (one-on-one) comparisons between candidates?

If an election is held with exactly three candidates, then there is always a Condorcet winner.

Suppose that the average annual college tuition is expressed by the formula  where n is the number of years since 2018. Which one of the following accurately describes this growth?

Suppose that the number of registered voters in a community was 900 in the year 2010 and it has been increasing by 4% every year.  Calculate the number of registered voters in the community in the year 2020. Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER, which you will submit after this online portion is completed.

Compare the energy released by an earthquake with a magnitude of 8.5 compared to another quake with a magnitude of 6.0. Write a complete sentence to answer this question.  Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER.  

Which method of apportionment is the best (fairest) one?

Your friend tosses two coins, and you win $100 if you get two Tails but loses $40 if you don’t get two Tails. What is your expected value each time your friend tosses two coins?