Let A, B, and C be events in a sample space S such that S = A ? B ? C. Suppose that P(A) = 0.3, P(B) = 0.6, and P(A ? B) = 0.2. Find each of the following.
(a) P(A ? B)
(b) P(C)
(c) P(A^c ? B^c)
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Solve the problem.A power plant is located on a river that is 700 feet wide. To lay a new cable from the plant to a location in a city 2 miles downstream on the opposite side costs $200 per foot across the river and $125 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the 
A. C(x) = 200
+ 125(2 - x)
B. C(x) = 125
+ 200(10,560 - x)
C. C(x) = 200
+ 125(10,560 - x)
D. C(x) = 200(700 - x) + 125(2 - x)
Simplify by combining like terms.6x + 2x - 2x + x + 10x
A. 18 B. 16x C. -18 D. 17x
Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.sin ? = - 
, 
< ? < 2?Find sin 
.
A. 
B. - 
C. 
D. - 
Determine the y-intercept.
A. (0, 2) B. (0, 1) C. (0, -1) D. (0, -2)