The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 264 days and a standard deviation of 10 days. a) what is the minimum pregnancy length that can be in the top 9% of pregnancy lengths? b) what is the maximum pregnancy length that can be in the bottom 7% of pregnancy lengths?

Approximately 278 is the minimum pregnancy length that can be in the top 9% of pregnancy lengths.

approximately 279 is the minimum pregnancy length that can be in the top 7% of pregnancy lengths.

Step-by-step explanation:

We are given the following information:

Mean, μ = 264 days

Standard Deviation, σ = 10 days

We are given that the distribution of  pregnancy length in days is a bell shaped distribution that is a normal distribution.

Formula:

a) P(X>x) = 9% = 0.09

We have to find the value of x such that the probability is 0.09.

P(X > x)  

Calculation the value from standard normal z table, we have,  

Hence, approximately 278 is the minimum pregnancy length that can be in the top 9% of pregnancy lengths.

b)  P(X>x) = 7% = 0.07

We have to find the value of x such that the probability is 0.07.

P(X > x)  

Calculation the value from standard normal z table, we have,  

Hence, approximately 279 is the minimum pregnancy length that can be in the top 7% of pregnancy lengths.

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

slope =   (y2 -y1) ÷ (x2 -x1)

slope = (0 -0) / (-5, -7)

slope = 0 / -12 = 0

the slope of the line is zero.   it is perfectly horizontal.

step-by-step explanation: