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Consider the following set of preference lists: Number of Voters (7) Rank 1 1 1 1 1 1 1 First C D C B E D C Second A A E D D E A Third E E D A A A E Fourth B C A E C B B Fifth D B B C B C D Calculate the winning using: a) Plurality voting b) The Borda count c) The Hare Method d) The Condorcet Method e) Sequential pairwise using the agenda A, B, C, D, E f) Find another agenda for pairwise voting that will produce a different winner than in e)
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Jessica has a picture in a frame with a total area of 288 in2. The dimension of the picture without the frame is 12 in through 14 in. What is the larger dimension, in inches, of th
Value of perfect information This relates to the amount that we would pay for an item of information such would enable us to forecast the exact conditions of the market and act
Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).
Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability
Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha
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A girl has 25 plants in all, 8 of them are tomatos. She has 10 more bean plants than pepper plants. How many pepper plants does she have?
How many 4 digit number lass than 6000 can be made with the digits 7,6,4 and 2 if digits are not repeated?
1+2+3+.....+n=1/2n(n+1)
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