Find the expected value for the random variable.

A. 29.42
B. 29.30
C. 28
D. 21.84


Answer: B

Mathematics

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Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(2(cos 180° + i sin 180°))4

A. -16i B. -16 C. 16i D. 16

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Find the coordinates of the vertex of the parabola.x = 5y2 - 40y + 82

A. (4, 0) B. (0, 2) C. (4, 2) D. (2, 4)

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Use a graphing utility to find or approximate solutions to the equation. If necessary, round your answers to three decimal places.2x2 + 6x = - 1

A. -1.677, -4.323 B. -0.089, -1.411 C. 0.158, -3.158 D. -0.177, -2.823

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Solve the problem.The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in 500 years? (Round your answer to three decimal places.)

A. 0.531 B. 0 C. 42.964 D. 66.665

Mathematics