Voters in a small town are considering four proposals, A, B, C, and D, forthe design ofaffordable housing. The preference table for the election is shown.(a) Which design has a majority of first-place votes?(b) Using the Borda count method, which design will be used for theaffordable housing?(c) Is Majority Criterion Satisfied?Number of Votes300120 9060First ChoiceCCASecond ChoiceThird ChoiceFourth ChoiceCBCO A; D, NoO C;A; NoO D; A; YesO D; A; No

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Answered: Voters in a small town are considering…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First Second Third JSJ C SJC S CCS J Determine the winner using the Borda count method. Did the winner receive a majority of the first place votes using the Borda count method? Select one: a. Smith; No O b. Smith; Yes O c. Jones; No d. Clark; Yes e. Jones; Yes O f. Clark; No
110 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method. Number of Votes First Choice Second Choice Third Choice Fourth Choice 42 35 20 13 В A A B A A В В D O o o C
Question 3 W.(2,0)= W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. and F(-7,1)= -8, then find the following: If u(2,0) = −7, u.(2, 0) = 7, w(2, 0) = 6, v(2,0) = 1, v.(2,0) = −2, vė(2,0) = −3, F.(−7, 1) = 4, W. (2,0) = (299997) ( Submit Question > As 23-25 Chomber 22 Ph 2029 February 1-28 PotesT 11-17 ASUS
Consider the preference schedule (below) for an election. (a) Determine the winner using the plurality method. (b) Determine the winner using sequential runoff. First D A B C B Second C B A D C Third A C C A D Fourth B D D B A Votes 31 26 22 15 8
The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table. What option is selected using the plurality method? O A. Library B. Theater C. Fitness center O D. Housing ... Number of Ballots Preference 13 26 19 10 2 1st 2nd 3rd 4th T L HHT LT LFL HHFTF F F T LH
1. True/False: If the statement is false, justify why it is false. (a) For n x n matrices A and B, det(AB) + det(A)det(B). (b) If a matrix is invertible, then it is diagonalizable. 1 2 -1 0 4 -3 5 0 0 0 0 2 (c) 5 is an eigenvector of A = 1 -5 (d) If Ax = Ax for some vector x, then A is an eigenvalue of A. (e) If A+3 is a factor of the characteristic polynomial of A, then –3 is an eigenvalue of A. (f) In order for an n xn matrix A to be diagonalizable, A must hasn distinct eigenvalues. 2. If A is a 3 x 3 matrix, prove that the determinant of A is equal to the determinant of A". 3. If the eigenvalues of A are 2 and -1, with multiplicities 2 and 3, respectively, find the characteristic equation of A. 4. Find a 4 x 4 matrix A such that the eigenvalues of A are -2, 3, and 0.

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