Provide an appropriate response.In a raffle 1000 tickets are being sold at $1.00 each. The first prize is $100, and there are 3 second prizes fo $50 each. By how much does the price of a ticket exceed its expected value?
A. $1.00
B. $0.75
C. $1.75
D. $50
Answer: B
Mathematics
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Solve the problem.The disk (x - 4)2 + y2 ? 1 is revolved about the y-axis to generate a torus. Find its volume. (Hint: 
= 
?, since it is the area of a semicircle of radius 1.)
A. 8?2 B. 2?2 C. 4?2 D. 4?
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Evaluate using integration by parts.
? 7x cos (x)dx 14
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Solve the problem.A cross-country skier reaches the 13-km mark of a race 40 min after reaching the 
mark. Find the speed (average rate of change) of the skier.
A. 27 km/hr
B. 
km/hr
C. 
km/hr
D. 9 km/hr
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Evaluate the integral.
dx
A. 
B. 
C. 
D. 
Mathematics