Provide an appropriate response.The function f(x) = 96x2 is a probability density function on the interval   What is a?

A. 0.50
B. 0.38
C. 0.25
D. 1.00


Answer: C

Mathematics

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Solve the 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 ft from a light is 2 foot-candles, find the intensity on a screen 20 ft from the light.

A.  foot-candle
B.  foot-candle
C. 2 foot-candles
D. 1 foot-candles

Mathematics

Find all the roots of the given equation.x5 - 32 = 0

A. -2; -0.618 + 1.902j ; -0.618 - 1.902j; 1.618 + 1.176; 1.618 - 1.176j B. 2 C. 2; 0.618 + 1.902j ; 0.618 - 1.902j; -1.618 + 1.176j; -1.618 - 1.176j D. 2; 1.902 + 0.618j ; 1.902 - 0.618j; 1.176 + 1.618j; -1.176 - 1.618j

Mathematics

For the functions f and g, find the requested value.Evaluate (f ? g)(1).y = f(x)y = g(x)?

A. 3 B. 1 C. 5 D. 2

Mathematics

Let  and compute the Riemann sum of f over the interval [3, 4] , using

? Two subintervals of equal length . Choose the representative points to be the midpoints of the subintervals. ? __________ sq units ? Five subintervals of equal length . Choose the representative points to be the midpoints of the subintervals. ? __________ sq units ? Ten subintervals of equal length . Choose the representative points to be the midpoints of the subintervals. ? __________ sq units What will be an ideal response?

Mathematics