Calculate the standard deviation of X for the probability distribution. Please round your answer to two decimal places, if necessary.
x
0.20.30.20.100.2?
A. 
B. 
C. 
D. 
E. 
Answer: E
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Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 6, with density ?(x) = x
A. 
= 
, 
= 3
B. 
= 3, 
= 
C. 
= 
, 
= 
D. 
= 3, 
= 3
Solve the variation problem.The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 feet from a light is 2 foot candles, find the intensity on a screen 15 ft from the light.
A. 
foot-candles
B. 
foot-candles
C. 2 foot-candles
D. 1
foot-candles
Provide an appropriate response.An alloy weighing 42 pounds is 
copper, 
silver, and 
other material. How many pounds of silver are in the alloy? Explain the process you used to find the answer.
What will be an ideal response?
Solve the equation.2(x - 3) - 20 = 4x - 2(x + 1)
A. -18 B. -22 C. all real numbers D. no solution