In a recent study, the Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.6 and standard deviation 10. (a) Find the 10th percentile of the blood pressures. (b) Find the 34th percentile of the blood pressures. (c) Find the third quartile of the blood pressures. Use the TI-84 Plus calculator and round the answers to at least two decimal places.

A.) 67.78

B.) 76.48

C.) 87.34

Step-by-step explanation:

Given that:

Mean (m) = 80.6

Standard deviation (σ) = 10

A.) 10th percentile :

10th percentile corresponds to a Zscore of - 1.282

Zscore = (x - m) / σ

-1.282 = (x - 80.6) / 10

-12.82 = x - 80.6

x = -12.82 + 80.6

x = 67.78

B.)34th percentile of blood pressure ;

34th percentile corresponds to a Zscore of - 0.412

Zscore = (x - m) / σ

-0.412 = (x - 80.6) / 10

-4.12 = x - 80.6

x = - 4.12 + 80.6

x = 76.48

C.) third quartile = 75% = 0.75

75th percentile corresponds to a Zscore of 0.674

Zscore = (x - m) / σ

0.674 = (x - 80.6) / 10

6.74 = x - 80.6

x = 6.74 + 80.6

x = 87.34

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column