Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000
B. $300,000
C. $270,000
D. $239,400
Answer: D
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Find the magnitude of u × v and the unit vector parallel to u × v in the direction of u × v.u = 4i + 2j + 8k, v = -i - 2j - 2k
A. 6
; 
i + 
k
B. 6
; 
i - 
k
C. 180; 
i + 
k
D. 180; 
i + 
j + 
k
An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) and then released. Write an equation for the distance of the object from its rest position after t seconds.amplitude = 9 cm; period = 3 seconds
A. d = -3 cos 
?t
B. d = -9 cos 
t
C. d = -9 cos 
?t
D. d = -9 sin 
?t
Simplify.
A. 4.264x2y4 B. 9x4y2 C. 3x2y4 D. not a real number
Solve the problem.The weight W of an object on the Moon is directly proportional to the weight E on earth. A person who weighs 175 lb on earth weighs 35 lb on the Moon. How much would a 138-lb person weigh on the Moon?
A. 0.2 lb B. 348 lb C. 27.6 lb D. 690 lb