Consider the situation. A political party holds a national convention with 1,100 delegates. At the convention, five persons (which we will call A, B, C, D, and E) have been nominated as the party's presidential candidate. After the speeches and hoopla, the delegates are asked to rank all five candidates according to his or her choice. However, before the vote, caucuses have narrowed the choices down to six different possibilities. The results of the first ballot are shown (choices, followed by the number of votes):
(ADEBC)
(BEDCA)
(CBEDA)
350
250
200
(DCEBA)
(EBDCA)
(ECDBA)
180
70
50
?
How many possible rankings are there?
?

A. 240
B. 720
C. 120
D. 110
E. 24

Answer: C

Mathematics

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Determine if the path is a Hamilton circuit.C ? B ? A ? F ? E? D

A. No B. Yes

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Mathematics

Solve the problem.In one study, a type of fish was exposed to a toxin. The table lists toxin concentrations in the fish after a certain number of hours. The concentration C of the toxin in the fishes' bloodstream was measured in micrograms of toxin per gram of fish after x hours of exposure. (i) Describe the relationship between x and C; (ii) Use regression to find a cubic polynomial function f(x) that models the data; (iii) graph C and the data; (iv) Concentrations above 30 are lethal to the fish. Determine how many hours of exposure it takes for this to occur.

A. (i) As x increases, C increases;
(ii) f(x) ? 0.38x³ - 4.35x² + 22.97x - 33.40
(iii)

(iv) x ? 6.0 (approximately)
B. (i) As x increases, C increases;
(ii) f(x) ? 0.28x³ - 4.35x² + 24.97x - 33.40
(iii)

(iv) x ? 7.9 (approximately)
C. (i) As x increases, C increases;
(ii) f(x) ? 0.28x³ - 5.35x² + 22.97x - 33.40
(iii)

(iv) x ? 6.2 (approximately)
D. (i) As x increases, C increases;
(ii) f(x) ? 0.38x³ - 5.35x² + 24.97x - 33.40
(iii)

(iv) x ? 9.1 (approximately)