Let X be the number of heads that come up when a coin is tossed twice. Calculate the expected value of the given random variable X.
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__________

Fill in the blank(s) with the appropriate word(s).

Answer: 1

Mathematics

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Solve the problem.A 60-m-long, 8.4-mm-diameter rope hangs free from a ledge. The density of the rope is 60 g/m. How much work is needed to pull the entire rope to the ledge?

A. 108g J B. 9g J C. 108,000g J D. 3.6g J

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Mathematics

Write the equation of a sine function that has the given characteristics.The graph of y = , shifted 4 units to the left

A. y = 
B. y = 
C. y =  - 4
D. y =  + 4

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Mathematics

Find the standard equation of the parabola with the given focus and directrix.Focus: (0, -5); directrix: y = 3

A. x2 = 16(y + 1) B. y2 = -16(x + 1) C. y2 = 16(x + 1) D. x2 = -16(y + 1)

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Mathematics

The region is represented below. Find the area of this region to two decimal places.


a. 20.28
b. 17.89
c. 16.08
d. 15.89
e.15.87

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Mathematics