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
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Solve the problem.A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 8 feet and a depth of 3 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The receiver should be placed at the focus src="https://sciemce.com/media/4/ppg__10625191630__f1q291g3.jpg" alt="" style="vertical-align: -4.0px;" />
The value of p is given by the equation 
How far from the base of the dish should the receiver be placed?
A. 5
feet from the base
B. 
feet from the base
C. 1
feet from the base
D. 
feet from the base
Use the Binomial Theorem to expand the binomial.(x+ 4y)4
A. x4 + 16x3y + 96x2y2 + 256xy3 + 256y4 B. x4 + 4x3y + 6x2y2 + 4xy3 + y4 C. x4 + 16x3y + 96x2y2 + 16xy3 + 256y4 D. x4 + 4x3y + 96x2y2 + 128xy3 + 256y4
Provide an appropriate response.If a variable is expressed in terms of another variable, what is the other variable called?
Fill in the blank(s) with the appropriate word(s).
Simulate 20 rolls of a pair of dice where the sum is observed. Give the relative frequency and corresponding theoretical probability of each of the outcomes. Make a table showing your results. The simulation is shown below. 
A. 
B. 
C. 
D. 