Use the theoretical probability formula to solve the problem. Express the probability as a simplified fraction.You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 9.
A. 
B. 
C. 10
D. 
Answer: A
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Sketch the indicated set. Describe the boundary of the set. Finally, state whether the set is open, closed or neither.{(x, y) : -2 ? x ? 0, 0 ? y ? 2 + x}
A. 
The boundary is the triangle with vertices
(0, 0), (-2, 0), (0, -2). The set is open.
B. 
The boundary is the triangle with vertices
(0, 0), (2, 0), (0, 2). The set is open.
C. 
The boundary is the triangle with vertices
(0, 0), (2, 0), (0, 2). The set is closed.
D. 
The boundary is the triangle with vertices
(0, 0), (-2, 0), (0, 2). The set is closed.
Solve the problem.The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ?, where W is the weight of the car and ? is the angle of the hill's grade (? > 0 for uphill travel, ? < 0 for downhill travel). What is the grade resistance (to the nearest pound) of a 1750-lb car on a level road (? = 0°)?
A. undefined B. 1750 lb C. -1750 lb D. 0 lb
Factor out the greatest common factor.x2(x - 8) - (x - 8)
A. (x3 - 8x2) - (x - 8) B. (x - 8)(x2 + 1) C. x2(x - 8) D. (x - 8)(x2 - 1)
If you have a two right triangles, vABC and ?LMN, and you know AB?LM and BC?MN. What theorem would you use to prove ?ABC??LMN?
