The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. Required:
a. How short are the shortest 2.5% of all pregnancies?
b. Between what values do the lengths of the middle 95% of all pregnancies fall?
c. How long do the longest 2.5% of pregnancies last?

Kindly check explanation

Step-by-step explanation:

Given that :

Mean (m) = 266 days

Standard deviation (s) = 16 days

A.) p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = - 1.96 (Z probability calculator)

x - 266 = - 31.36

x = - 31.36 + 266

x = 234.64

B.)

p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = - 1.96 (Z probability calculator)

x - 266 = - 31.36

x = - 31.36 + 266

x = 234.64

p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = 1.96 (Z probability calculator)

x - 266 = 31.36

x = 31.36 + 266

x = 297.36

Hence,

234.64 < x <297.36

C.)

p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = 1.96 (Z probability calculator)

x - 266 = 31.36

x = 31.36 + 266

x = 297.36

what

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )