Use the preference table to answer the question.A town votes on three different options, A, B and C, for placement of a statue within the town. The winner is to be determined by the Borda count method. The preference table for the election is shown.Number of Votes208114575757First ChoiceACBCBSecond ChoiceCBAACThird ChoiceBACBAa. Which option is favored over all others using pairwise comparisons?b. Which option wins the vote using the Borda count method?c. Is the Condorcet criterion satisfied?
A. a. candidate C, b. candidate B, c. No
B. a. candidate C, b. candidate C, c. Yes
C. a. candidate A, b. candidate B, c. Yes
D. a. candidate A, b. candidate C, c. No
Answer: D
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Solve the problem.Given that the polar equation r = models the orbits of the planets about the sun, estimate the closest possible approach of a planet for which
and
to a planet for which
and
A. 76 astronomical units B. 14 astronomical units C. 0 astronomical units D. 34 astronomical units
Write the statement as an absolute value inequality.x is within 10 units of 9
A. |10 - x| < 9 B. |x - 9| ? 10 C. |x - 9| < 10 D. |x - 10| < 9
Graph the system of inequalities, and find the coordinates of the vertices.y + 3x ? 5,2y - x ? 3,y ? 6
A.
B.
C.
D.
Solve the problem. Round to the nearest tenth if necessary.Shane is flying his kite on 48 yd of string. The kite is directly above the edge of a pond. The edge of a pond is 32 yd from where the kite is tied to the ground. How far is the kite above the pond?
A. 1280 yd B. 57.7 yd C. 35.8 yd D. 3328 yd