Translate the problem to a system of equations, then solve using Cramer's Rule.The perimeter of a rectangle is 24 meters. If the width is doubled and the length is tripled, the perimeter is 60 meters. Determine the original width and length.
A. width = 10 m, length = 20 m
B. width = 8 m, length = 12 m
C. width = 6 m, length = 6 m
D. width = 12 m, length = 12 m
Answer: C
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Find the expected value.You are given 14 to 1 odds against drawing two hearts when two cards are selected at random from a standard deck of 52 cards (with replacement of the first card before the second card is drawn). This means that you win $14 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game. Round to the nearest cent.
A. $2.75 B. -$0.06 C. $0.06 D. -$0.91
Suppose you have the following project digraph. (The numbers in parentheses represent hours.)
Using the decreasing-time algorithm to schedule this project with two processors, the total combined idle time of the two processors is
A. 5 hours. B. 1 hour. C. 7 hours. D. 3 hours. E. none of these
Solve the problem. Round to two decimal places if needed.A pendulum swings though an angle of 35° each second. If the pendulum is 45 inches long, how far does its tip move each second?
A. 27.49 inches B. 29.92 inches C. 25.64 inches D. 28.78 inches
Determine whether matrix B is the inverse of matrix A by finding the product AB.A = 
, B = 
A. B = A-1 B. B ? A-1