The lifetime of a disposable water filter is normally distributed with mean ? = 38 gal and standard deviation ? = 6 gal. What is the probability that a filter selected at random will last from 47 gal to 51.5 gal? Round your answer to three decimal places.

a.  0.433
b.  0.055
c.  0.921
d.  0.945
e.  0.488


b.  0.055

Mathematics

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Find the area.

A. 2100 yd2  B. 1330 yd2  C. 1100 yd2  D. 1300 yd2

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Use Simpson's Rule with n = 4 steps to estimate the integral.

A. - 
B. -1 - 2
C. - 
D. - 

Mathematics

Use the properties of equality to solve the equation.y +  = -4

A.
B.
C.
D. {-21}

Mathematics

Provide an appropriate response.Indicate whether the following statement is true or false. If two of the rows of a 3 × 3 matrix are identical, but its other row is different, then the determinant of the matrix equals 0.

A. True B. False

Mathematics