Heights of adult males are approximately normally distributed with a mean of 66.9 inches and a standard deviation of 1.7 inches. If a sample of 50 adult males are chosen, what is the probability the their mean height will be between than 67 inches and 67.4 inches? Report your answer to four decimal places.

P(67 ≤ x ≤ 67.4) = 0.644

Step-by-step explanation:

Since the heights of adult males are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ/√n

Where

x = the heights of adult males.

µ = mean height

σ = standard deviation

n = number of samples

From the information given,

µ = 66.9 inches

σ = 1.7 inches

n = 50

The probability that their mean height will be between than 67 inches and 67.4 inches is expressed as

P(67 ≤ x ≤ 67.4)

For x = 67,

z = (67 - 66.9)/(1.7/√50) = - 0.42

Looking at the normal distribution table, the probability corresponding to the z score is 0.3372

For x = 67.4,

z = (67.4 - 66.9)/(1.7/√50) = 2.08

Looking at the normal distribution table, the probability corresponding to the z score is 0.9812

Therefore,

P(67 ≤ x ≤ 67.4) = 0.9812 - 0.3372 = 0.644

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w