Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?

A. 20
B. 100
C. 10
D. 500


Answer: C

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: 400 at    minimum: -400 at  
B. Maximum: 400 at    and    minimum: -400 at    and  
C. Maximum: 400 at    and    minimum: -400 at    and  
D. Maximum: 400 at    minimum: 0 at  

Mathematics

Solve the problem.A ball is dropped from a height of 21 m and always rebounds  of the height of the previous drop. How far does it travel (up and down) before coming to rest?

A. 105 m B. 42 m C. 126 m D. 63 m

Mathematics

Determine the phase shift of the function.y = 5 sin 

A.  units to the left
B. 4? units down
C.  units to the right
D. 5? units up

Mathematics

Solve the problem.Bob, the incredible shrinking man, loses half of his height each day after he was exposed to a mysterious form of cosmic radiation. How many days before he is literally "knee-high to a grasshopper"? Assume that a grasshopper's knee is 4 millimeters high and that Bob is 2 meters tall. Round your answer to the nearest whole day. (1000 millimeters = 1 meter)

Fill in the blank(s) with the appropriate word(s).

Mathematics