(8 points) The probability that the total length of pregnancy for 15 randomly selected women is greater than a certain amount is 0.05. Find this total length.

The total length to be calculated = 290.32 days

Step-by-step explanation:

The probability that the total length of pregnancy for 15 randomly selected women is greater than a certain amount is 0.05.

Let the standardized score of this certain amount be z',

P(z>z') = 0.05

But on the normal distribution tables, what we have is P(z≤(any random z-score)

So, expressing P(z>z') in that form,

Mathematically,

P(z>z') = 1 - P(z≤z')

0.05 = 1 - P(z≤z')

P(z≤z') = 1 - 0.05 = 0.95

From the normal distribution table, z' = 1.645

The z-score formula is

z = (x - xbar)/σ

Where z = 1.645

xbar = mean = 264 days

σ = standard deviation = 16 days

x = number of days that corresponds to the z-score of 1.645 = ?

1.645 = (x - 264)/16

x = 26.32 + 264 = 290.32 days.

$35.59 in pounds

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq