A box contains one each of $4, $8, $25, $90, and $100 bills. You reach in and withdraw one bill. What is the expected value?
?

A. $114
B. $45
C. $25
D. $20
E. $227


Answer: B

Mathematics

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Write the formula for Newton's method and use the given initial approximation to compute the approximations x1 and x2. Round to six decimal places.f(x) = x2 - 20; x0 = 5

A. xn+1 = xn + ; x1 = 4.500000, x2 = 4.472222
B. xn+1 = xn - ; x1 = 5.500000, x2 = 3.472222
C. xn+1 = ; x1 = 5.000000, x2 = 4.972222
D. xn+1 = ; x1 = 4.500000, x2 = 4.472222

Mathematics

Factor by grouping.m2s - m2t - ws + wt

A. (s - t)(m2 - w) B. (s - w)(m2 - t) C. (s - t)(m2 + w) D. (s - m2)(t - w)

Mathematics

Decide whether or not the ordered pair is a solution of the system.(2, -3)2x = -7 - y3x = -12 - 2y

A. Yes B. No

Mathematics

Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.In a state with a population of 9,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state?

A. $54 × 1011 B. $5.4 × 1010 C. $54 × 1010 D. $5.4 × 109

Mathematics