Refer to the weighted voting system  and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The number of winning coalitions is

A. 7.
B. 15.
C. 8.
D. 1.
E. none of these


Answer: A

Mathematics

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Simplify. ? 

A.
B.
C.
D.

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Find the flux of the vector field F across the surface S in the indicated direction.F = x4y5i + yj  - zk; S is the portion of the parabolic cylinder z = 4 - y2 for which  and 1 ? x ? 7; direction is outward (away from the x-y plane)

A. 0 B. 48 C. -96 D. 96

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Find an equation of the ellipse.An ellipse with x-intercepts ±2 and y-intercepts ±6, center at origin

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

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Write in terms of sin x and cos x then simplify.

(a) 1 (b) sin² x (c) sin x (d) cos x (e) -cos² x

Mathematics