Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?

A. 20
B. 100
C. 10
D. 500


Answer: C

Mathematics

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Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. {(2, -2)}
B. {(-2, 2)}
C. no solution; ?
D. infinitely many solutions;  or 

Mathematics

Refer to the figure to answer the question. Line DH is parallel to line IM. Line BO is perpendicular to line DH.Which of the following is a true statement?

A. m?IJN = m?AEF B. ?BFG and ?CGH are complementary. C. m?IJN + m?EJK = 180° D. m?FEJ < m?DEJ

Mathematics

Use Pascal's triangle to expand the binomial.(x3 - 2y2)5

A. x15 - 2x12y2 + 4x9y4 - 8x6y6 + 16x3y8 - 32y10 B. x15 - 32y10 C. x15 - 10x12y2 + 40x9y4 - 80x6y6 + 80x3y8 - 32y10 D. x15 - 10x7y2 + 40x6y4 - 80x5y5 + 80x3y6 - 32y7

Mathematics

Describe the given set of points with a single equation or with a pair of equations.The circle of radius 2 centered at the point (0, -9, 8) and lying in a plane perpendicular to the 

A.  22+ 1 = 22
B.  2 2 = 22 and x = 0
C. (y + 9)2 + (z - 8)2 = 22 and x = 0
D. (y + 9)2 + (z - 8)2 = 22 and y + z = -1

Mathematics