Solve the problem.R and C play a game by each showing none, one, or two fingers. If each player shows the same number of fingers, R pays C a number equal to the total number of fingers shown. If the two players each show a different number of fingers, C pays R a number equal to the total number of fingers shown.(a) Give the payoff matrix.(b) Suppose R shows one finger 50% of the time and two fingers 50% of the time, and C always shows two fingers. Calculate the expected value for this strategy.
What will be an ideal response?
0 1 2
(a) 
(b) -0.5
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Draw a unit circle centered at the origin and sketch ?A = 315°. Label as P where the side of A, not on the x-axis, intersects the unit circle. Find and label the coordinates of P on the unit circle.
What will be an ideal response?
Solve the problem.A constant force F = 17i + 30j moves an object from the point P = (10, 8) to the point Q = (2, 20), where units are in pounds and feet. Find the work done.
A. 441.6 foot-pounds B. -70 foot-pounds C. 70 foot-pounds D. 410 foot-pounds
Solve the problem.A landscaping company sells 40-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.75 pound. Write an inequality involving absolute value that expresses the relationship between the actual weight x of a bag and 40 pounds. Solve the inequality, and express the answer in interval form.
A. |40 - x|? 0.75; [39.25, 40.75] B. |x + 0.75| ? 40; [39.25, ?) C. |x|- 40 ? 0.75 ; (-?, 40.75] D. |40 + x| ? 0.75; [39.25, 40.75]
Write the decimal number in expanded form.2.61
A. 2 + 
+ 
B. 2 + 
+ 
C. 26+ 
D. 
+ 
+ 