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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The following table shows the running speed R, in centimeters per second, of ants as a function of the temperature T in degrees Celsius. Use linear regression to model running speed as a function of temperature.  T 25.6 30.3 32.3 34.8 R 2.15 3.29 4.87 5.24? ?

A. ?
B.
C.
D. ?

Mathematics

Use the quotient rule to simplify.

A. 5x 
B. 5x
C. x
D. 5x

Mathematics

Provide an appropriate response.List the graphical transformations, in the correct order, that must be done to y = f(x) to produce the graph of y = 2f(x + 3) - 5.

What will be an ideal response?

Mathematics

Solve the problem.A formula used by an engineer to determine the safe radius of a curve, R, when designing a particular road is:  where ? is the superelevation of the road and V is the velocity (in feet per second) for which the curve is designed. If   f = 0.1, and   find V. Round to the nearest foot per second.

A. V = 74 ft per sec B. V = 71 ft per sec C. V = 69 ft per sec D. V = 67 ft per sec

Mathematics