Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts (a) through (f) below.

Answers

Answer 1

Answer:

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

$z=(x-\mu)/(\sigma)$

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

$z=(x-\mu)/(\sigma)=(242-247)/(16)=-0.31$

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean $\mu_x=\mu=247,$ the new standard deviation: $\sigma_x=\sigma/√(n) =16/√(17) =3.88$

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

$z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(17) )=-1.29$

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

$z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(49) )=-2.19$

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

$z=(x-\mu)/(\sigma/√(n) )=(236-247)/(16/√(20) )=-3.07$

For x = 258 days

$z=(x-\mu)/(\sigma/√(n) )=(258-247)/(16/√(20) )=3.07$

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

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What shapes will have diagonals that are not lines of symmetry

Answers

When a mirror is placed along the diagonal of a rectangle, the result does not look the same as the original rectangle, so the diagonal is not a line of symmetry. This new shape --- the combination of the triangular half of the original rectangle and its image in the mirror --- is called a kite.

PLEASE HELP!!!!Solve the compound inequality for x and identify the graph of its solution.
4xs-16 or 3x + 5 2 17

Answers

The solution of the compound inequality 4x ≤ -16 or 3x + 5 ≥ 17 is x ≤ -4 or x ≥ 4 and graphed in option (B).

What is inequality?

Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation. Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation.

Given the first inequality,

4x ≤ -16

Dividing 4 both sides

x ≤ -4

Second inequality,

3x + 5 ≥ 17

Subtract 5 on both sides

3x ≥ 12

Divide 3 both side

x ≥ 4

So,

x ≤ -4 or x ≥ 4

Hence "The solution of the compound inequality 4x ≤ -16 or 3x + 5 ≥ 17 is x ≤ -4 or x ≥ 4".

For more about inequality,

brainly.com/question/20383699

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Answer:

Step-by-step explanation:

7. Find the value of Z in the following equation: 8Z = 64.

Answers

z=8 because you have to get z by itself therefore you have to divide 8 on both sides leaving z to equal 8

z = 8 is the answer

I hope this helps

Do you add them both together or multiply or do u put an equal sign between them? what is the sum of $(-x+7)/(2x+4)$ and $(2x+5)/(2x+4)$

Answers

$(-x+7)/(2x+4)+(2x+5)/(2x+4) =(-x+7+2x+5)/(2x+4)=( x+12)/(2x+4)$

$(-x+7)/(2x+4) + (2x+5)/(2x+4)=(x+12)/(2x+4)$

While hiking, Grace went up 647 meters above sea level. At the same time, her friend was scuba diving 293meters below sea level. How far apart were they in elevation?
___ meters

Answers

Answer:

940 meters apart

Step-by-step explanation:

Step 1:

Grace = + 647

Friend = - 293

Step 2:

| 647 + ( - 293 ) |

Answer:

940

Hope This Helps :)

Answer:

940 m

Step-by-step explanation:

Above sea level is measured as positive and below sea level is measured as negative.

In order to find the distance between both we need to find the difference between their elevation and depression.

Distance between Grace and her friend

= 647 - (-293)

= 647 + 293

= 940 m

PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?

Answers

Answer:

A'(1,1) , B'(5,3), C'(2,5)

Explanation:

when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts​ (a) through​ (f) below.

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts (a) through (f) below.