Solve the problem.Player R has two cards: a red 5 and a black 9. Player C has three cards: a red 7, a black 7, and a black 8. They each place one of their cards on the table. If the cards are the same color, R receives the difference of the two numbers. If the cards are of different colors, the player with the higher number receives the difference of the two numbers.(a) Give the payoff matrix for this game.(b) Decide if the game is strictly determined. If so, determine the optimal strategies for R and C.
What will be an ideal response?
| (a) | C |
| (b) | strictly determined; R plays black 9, C plays black 8 |
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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 4 and x = 8 using the "midpoint rule" with four rectangles of equal width.
A. 149 B. 174 C. 165 D. 126
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A. 90 or 120 units B. 80 or 100 units C. 100 units D. 120 units
Solve the system, if possible.
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A. x = -9, y = 12, z = 5 B. x = 1, y = -10, z = -5 C. x = -1, y = 10, z = 5 D. x = -9, y = 1, z = 5 E. no solution; inconsistent system