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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Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies inversely with x. When x = 3, then y = 9.

A. k = 27; y = 
B. k = 27; y = 
C. k = ; y = x
D. k = ; y = 

Mathematics

If necessary, write the equation in the standard form ax2 + bx + c = 0. Then identify the values of a, b, and c. Do not actually solve the equation.3x2 = 14x - 21

A. a = 3, b = 14, c = -21 B. a = 3, b = -14, c = 21 C. a = 3, b = 14, c = 21 D. a = 3, b = -14, c = -21

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Find the exact value under the given conditions.sin ? = - ,   < ? < 2?; cos ? = - , ? < ? < Find sin (? - ?).

A.
B.
C.
D.

Mathematics

Solve the polynomial inequality.x4 - 6x3 - 79x2 + 264x + 1260 ? 0

A. (-7, -3) ? [6, 10] B. [-7, -3] ? [6, 10] C. [-7, -3] ? (6, 10) D. [-7, 10]

Mathematics