Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75
B. $2.00
C. -$3.00
D. $3.00
Answer: A
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Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary. 5x - y + z = 8 7x + y + z = 612x + 2z = 14
A. {(x, -x + 1, 6x + 7)} B. {(x, -x - 1, -6x + 7)} C. {(x, -x + 1, 6x - 7)} D. {(x, -x + 1, -6x + 7)}
Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = x2 - 2x
A. vertex (-1, 1)
intercept (0, 2)
B. vertex (-1, -1)
intercepts (0, 0), (-2, 0)
C. vertex (1, 1)
intercept (0, 2)
D. vertex (1, -1)
intercepts (0, 0), (2, 0)
Solve the absolute value inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.
> 5
A. (-?, -5) ? (5, ?)
B. [-5, 5]
C. (-5, 5)
D. (-?, -5] ? [5, ?)
Determine whether or not the number is written in scientific notation.2.43 × 109
A. Yes B. No