Find the probability of the event if a single choice is made from a bag.A bag contains 6 red marbles, 2 blue marbles, 4 yellow marbles, and 6 green marbles. What is the probability of choosing a red marble when one marble is drawn?
A. 
B. 
C. 
D. 
Answer: C
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Solve the problem.An open, rectangular aquarium is to hold 6 ft3 of water. The bottom is to be made from granite and the sides from glass. If granite costs 7 times as much as glass, what dimensions should be chosen to minimize the cost? Ignore the thickness of the materials.
A. The dimensions of the bottom should be 
feet by 
feet and the height should be 
B. The dimensions of the bottom should be 
feet by 
feet and the height should be 
C. The dimensions of the bottom should be 
feet by 
feet and the height should be 
D. The dimensions of the bottom should be 
feet by 
feet and the height should be 
Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. 
saddle point
B. f
= 
, local minimum
C. f(63, 63) = 4,000,752, local maximum
D. f
= 
, local minimum
Solve the problem.Express 75° as ? - ?, where sin ? and sin ? are known exactly.
A. 105°- 30° B. 145°- 70° C. 90°- 15° D. 120° - 45°
Simplify using the product-to-power rule.(-3x6)3
A. -27x9 B. 27x18 C. 27x9 D. -27x18