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
Mathematics
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Find the coordinates of the vertices and foci of the ellipse.x2 + 2y2 = 100
A. V(-10, 0), V(10, 0), F, F
B. V(-10, 0), V(10, 0), F, F
C. V(-100, 0), V(100, 0), F(0, -50), F(0, 50)
D. V, V
, F
, F
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Solve the problem.The intensity L(x) of light x ft beneath the surface of a lake satisfies the differential equation . At what depth, to the nearest foot, is the intensity one tenth the intensity at the surface?
A. 13 ft B. 17 ft C. 26 ft D. 38 ft
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Find the absolute value of the complex number. Round your answer to two decimal places, if necessary.9i
A. 9i B. -9 C. 81 D. 9
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Write the following in interval notation.{x| -5 < x < -2}
A. [-5, -2) B. (-5, -2) C. (-5, -2] D. [-5, -2]
Mathematics