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

Mathematics

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Read the following meter. Estimate between scale divisions where necessary. Be sure to include units with your answers.

A. a) 130 ?, b) 38 ?, c) 14 ?, d) 3.2 ? B. a) 110 ?, b) 35 ?, c) 12 ?, d) 3.2 ? C. a) 112 ?, b) 40 ?, c) 8 ?, d) 3.5 ? D. a) 111 ?, b) 38 ?, c) 8 ?, d) 3.5 ?

Mathematics

Evaluate the double integral ?  ?  for the given function f(x, y) and the region R. ?  f(x, y) = 6x + 6y; R is bounded by x = 0, , y = 0 and y = 4. ? 

A.
B.
C.
D.

Mathematics

Solve the problem.A cross-section of an irrigation canal is a parabola. If the surface of the water is 49 ft wide and the canal is 4 ft deep at the center, how deep is it 8 ft from the edge?

A. 2.2 ft B. 2.8 ft C. 1.2 ft D. 1.8 ft

Mathematics

An equation with a restriction on x is given. This is the equation of the terminal side of an angle ? in standard position. Sketch the smallest positive such angle ?, and use your sketch to find the values of the indicated trigonometric functions. Rationalize denominators when applicable.3x - y = 0, x ? 0Find sin ? and cos ?.

A. sin ? = - ; cos ? = - 
B. sin ? = ; cos ? = - 
C. sin ? = - ; cos ? = - 
D. sin ? = -3; cos ? = - 

Mathematics