Solve the problem.Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of  and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.32 and 12.38 ounces.

A. 0.1525
B. 0.1649
C. 0.8351
D. 0.8475


Answer: A

Mathematics

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The following problem involves adjustable-rate mortgage. You the given table if necessary.Harry has a 1-year ARM for $75,000 over a 25-year term. The margin is 2%, and the index rate starts out at 2.5% and increases to 3.5% at the first adjustment. The balance of principal at the end of the first year is $73,338.52. Find the amount of monthly payment for the first month of the first year.

A. $388.14 B. $489.42 C. $416.87 D. None of the above is correct.

Mathematics

Refer to a normal distribution described by the following figure. The mean is ? and the standard deviation is ?. The standard deviation ? =

A. 80 B. 108 C. 54 D. 27 E. none of these

Mathematics

Find the focus and directrix of the parabola.x = 9y2

A. F: ; D: x = - 
B. F: ; D: y = - 
C. F: ; D: x = 
D. F: ; D: x = - 

Mathematics

Reduce the rational expression to lowest terms.

A.
B.
C.
D. - 

Mathematics