Consider an election with three candidates with the results:
(ACB)
(CBA)
(BCA)
6
4
4
?
Is there a majority winner? If not, who is the plurality winner? Answer No, B; Yes, C; No, C; No, A; or Yes, BWho wins using the pairwise comparison method? Answer A, C, or B.Is the ordering for the choices for candidates in the previous question transitive? Answer yes or no.
What will be an ideal response?
No, A; C; Yes
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Solve the problem.Find the center of mass of the rectangular solid of density 
defined by 
, 
, 
.
A. 
= 
, 
= 
, 
= 1
B. 
= 
, 
= 
, 
= 2
C. 
= 1, 
= 4, 
= 
D. 
= 
, 
= 2, 
= 
Use elimination to solve each system of equations, if possible. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent. x + 2y = 162x + 3y = 24
A. Inconsistent
B. (1, 7); consistent and independent
C.
| (0, 8); consistent and independent |
D. (-8, 0); consistent and independent
Write the fraction as a decimal. If necessary, use repeating decimal notation.- 
A. -0.
B. -0.04
C. -0.4
D. -0.
Find the vertex, the focus, and the directrix of the parabola.y2 - 8x + 2y + 9 = 0
A. V: 
; F: 
; D: y = 
B. V: (1, -1); F: (3, -1); D: x = -1
C. V: 
; F: (-1, 1); D: y = 3
D. V: (5, 1); F: (9, 1); D: y = 7