?A focus group of 32 people for ABC TV were asked to rank the government spending priorities of education (E), military spending (M), health care (H), immigration (I), and lowering taxes (T). Here are the preferences:
?
(MEIHT)
(TEMIH)
(ITMHE)
(HTMEI)
17
5
5
5
?
Suppose that the losing issues of immigration, health care, and health care are removed from the table. Now, who is the winner using the Borda count method? AnswerE, H, M, I, or T.Does the Borda count method violate the irrelevant alternatives criterion? Answer yes or no.
 

Fill in the blank(s) with the appropriate word(s).


M; No

Mathematics

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Solve the inequality and graph the solution.1 > x - 7

A. ? 8

B. < 8

C. > 8

D. ? 8

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For an election with candidates (A, B, C, D, and E), we have the following preference schedule: Using the method of pairwise comparisons, the winner of the election is

A. A. B. B. C. C. D. D. E. E.

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A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins? ?

A. 15 pennies B. 32 pennies C. 22 pennies D. 4 pennies E. 34 pennies

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Use an analytic method to solve the equation. +  = 4

A. {0}
B. {2, -2}
C. {, -2}
D. {-2}

Mathematics