Find the expected value.Suppose that 1,000 tickets are sold for a raffle that has the following prizes: one $300 prize, two $100 prizes, and one hundred $1 prizes. What is expected value of a ticket?
A. $300
B. $0.60
C. $1
D. $100
Answer: B
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Solve the problem.According to Newton's Inverse Square Law, the force exerted by the earth on a space capsule is 
where x is the distance (in miles, for instance) from the capsule to the center of the earth. The force F(x) required to lift the capsule is given by 
How much work is done in propelling a 
capsule out of the earth's gravitational field? Note: The radius of the earth is 3960 miles.
A. 5.94 × 106 B. 9.90 × 106 C. 7.92 × 106 D. 1.98 × 106
Find the equation of the conic with the given characteristics.Parabola with focus (4, 6) and directrix y = -2
A. (y - 4)2 = 16(x - 2) B. (y - 2)2 = 16(x - 4) C. (x - 4)2 = 16(y - 2) D. (x - 2)2 = 16(y - 4)
Find the center of mass of a thin plate covering the given region with the given density function.The region between the curve y = 
and the x-axis from 
to 
with the density function 
A. 
= 60, 
= 12
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Solve the equation.9x + 6x + 6 = -4x
A. 
B. 
C. 
D. 