13=2f+5 f=two step equation

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u=207 and standard d

never [62]

Answer:

a) 36.32% probability that a randomly selected pregnancy lasts less than 201 days.

b) 3.22% probability that a random sample of 16 preganacies has a mean geatation period of 201 days or less.

c) 1.58% probability that a random sample of 37 preganacies has a mean geatation period of 201 days or less

Step-by-step explanation:

To solve this problem, we have to know the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 207, \sigma = 17$

(a) what is the probability that a randomly selected pregnancy lasts less than 201 days?

Pvalue of Z when X = 201.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{201 - 207}{17}$

$Z = -0.35$

$Z = -0.35$ has a pvalue of 0.3632.

So 36.32% probability that a randomly selected pregnancy lasts less than 201 days.

(b) what is the probability that a random sample of 16 preganacies has a mean geatation period of 201 days or less?

Now $n = 16, s = \frac{17}{\sqrt{16}} = 3.25$

Again the pvalue of Z when X = 201

$Z = \frac{X - \mu}{\sigma}$

Due to the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{201 - 207}{3.25}$

$Z = -1.85$

$Z = -1.85$ has a pvalue of 0.0322.

So 3.22% probability that a random sample of 16 preganacies has a mean geatation period of 201 days or less.

(c) what is the probability that a random sample of 37 preganacies has a mean geatation period of 201 days or less?

Now $n = 16, s = \frac{17}{\sqrt{37}} = 2.79$

$Z = \frac{X - \mu}{s}$

$Z = \frac{201 - 207}{2.79}$

$Z = -2.15$

$Z = -2.15$ has a pvalue of 0.0158.

1.58% probability that a random sample of 37 preganacies has a mean geatation period of 201 days or less

8 0

4 years ago

The base of a right prism is a square with edge 4 . The volume is 128 . The height is ?

ollegr [7]

Volume = (length) x (width) x (height)

Height = (Volume) / (length x width) = 128 / (4 x 4) = 128/16 = <u>8</u> .

4 0

3 years ago

Read 2 more answers

Eric plots points showing equivalent ratios on the coordinate plane below.

3241004551 [841]

Answer:

The points form a curve

Step-by-step explanation:

Jk the points are in a straight line

4 0

3 years ago

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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

dalvyx [7]

The standard form is given as Ax+By =C

we are given points (-8,0) and (1,5)

let us first find the slope here

$slope = \frac{y2-y1}{x2-x1}$

$slope = \frac{5-0}{1-(-8)}$

slope=5/9

now using the equation (y-y1)=m(x-x1)

(y-0)=5/9(x+8)

9y=5x+40

9y-5x=40 is the standard form of the line that passes through given points

7 0

3 years ago

Write the slope-intercept inequality for the graph below. If necessary, use <=

Wittaler [7]

Answer:

: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob

ng mga bilog.Let's Write!

Directions: Write at least a five-sentence paragraph about the issue conveyed in the

picture using a pattern of idea development with its appropriate grammatical signals. A

rubric is given below for your guidance. Write your paragraph on a separate sheet of

paper.WRITTEN WORK #1

Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template

below.

Digestive Disease

Causes

Symptoms

TreatmentWORK #1

Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template

below.

Digestive Disease

Causes

Symptoms

Treatment: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob

ng mga bilog.

7 0

3 years ago