Solve the problem.Consider the generic weighted voting system [q : w1, w2, w3, w4, w5]. Suppose that the winning coalitions are exactly those having 3 or more players. Which players are critical in the coalition {P1, P2, P4, P5}?
A. P1, P2, and P4
B. P1 only
C. P1, P2, P4, P5
D. None of the players
E. none of these
Answer: D
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Solve.A carpenter wants to make a semicircular deck by cutting four equal pieces of wood as shown. Measure the angle of one of the pieces. Describe another way to determine the angle measure without using a protractor.
A. 90°; Since two of the pieces form a right angle, one of the pieces measures 1/2(180°), or 90°. B. 40°; Since two of the pieces form a right angle, one of the pieces measures 1/2(80°), or 40°. C. 45°; Since two of the pieces form a right angle, one of the pieces measures 1/2(90°), or 45°. D. 60°; Since two of the pieces form a right angle, one of the pieces measures 1/2(120°), or 60°.
Find the volume of the pyramid. If necessary, round to the nearest hundredth.
A. 251.1 mi3 B. 788.45 mi3 C. 376.65 mi3 D. 753.3 mi3
Perform the division.
A. z2 + 4z + 16 B. z2 - 4z + 16 C. z2 + 4z - 16 D. z2 + 8z + 16
Use a graphing device to find all real solutions of the equation, correct to two decimal places.
?
?
x? __________
What will be an ideal response?