?Find  given the probability distribution. 
??
 x0123 ?P?(?x)0.0230.1850.4400.352?

A. ?0.440
B. ?1.000
C. ?0.792
D. ?0.648
E. ?0.250


Answer: D

Mathematics

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Solve the problem.An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve , - 2 ? x ? 2, about the x-axis (dimensions are in feet). If a cubic foot holds 7.481 gallons and the helicopter gets 3 miles to the gallon, how many additional miles will the helicopter be able to fly once the tank is installed (to the nearest mile)?

A. 75 B. 150 C. 50 D. 38

Mathematics

Graph and state the domain and the range of the function.f(x) = 0.2e-5x

A. Domain: ?
Range: (-?, 0)

B. Domain: ?
Range: (-?, 0)

C. Domain: ?
Range: (0, ?)

D. Domain: ?
Range: (0, ?)

Mathematics

Provide an appropriate response.Perform the indicated operation, rationalize denominator, and simplify if possible:   

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

Mathematics

Determine the constant of variation for the stated condition.h varies directly as f and inversely as g, and h = 5 when f = 63 and g = 45.

A. k = 45
B. k = 
C. k = 
D. k = 9

Mathematics