A sample of n = 16 is selected from a normal population with µ = 60 and σ = 20. For each question, provide the z-score and probability/proportion for your answer. A) What is the probability that the sample mean will be greater than 50? B) What is the probability that the sample mean will be less than 56? C) What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p (55 < X < 65)?

Answers

Answer 1

Answer:

im just here for the points sorry

Step-by-step explanation:


Related Questions

Does anyone know this question?

Answers

answer: angle 5 is a 110 degree angle
explanation: angles 3 and 5 are same side interior angles, making them supplementary to each other

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​ distributed, with a mean of

Answers

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

[tex]P(X < 4) =  0.4141 [/tex]

b

[tex]P(4 < X < 6) =   0.32876[/tex]

c

 [tex]P(X >8) =  0.064037 [/tex]

d

The correct option is  B

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu =  4.5[/tex]

  The standard deviation is [tex]\sigma  =  2.3[/tex]

Generally the  probability that a randomly selected study participant's response was less than 4 is mathematically represented as

       [tex]P(X < 4) =  P(\frac{X - \mu }{\sigma} < \frac{4 - 4.5}{ 2.3}   )[/tex]

[tex]\frac{X -\mu}{\sigma} =  Z (The \  standardized \  value \  of\  X )[/tex]

So

     [tex]P(X < 4) =  P(Z < -0.217  )[/tex]

From the z-table  [tex]P(Z < -0.217  ) =  0.4141[/tex]

So

    [tex]P(X < 4) =  0.4141 [/tex]

Generally the probability that a randomly selected study participant's response was between 4 and 6 is mathematically represented as

     [tex]P(4 < X < 6) =  P( < \frac{4 - 4.5}{ 2.3}  < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})[/tex]

=> [tex]P(4 < X < 6) =  P(  \frac{4 - 4.5}{ 2.3}  < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})[/tex]

=>   [tex]P(4 < X < 6) =  P(  -0.217  < Z< 0.6522[/tex]

=>   [tex]P(4 < X < 6) =   (Z< 0.6522) -P( Z <  -0.217) [/tex]

From the z-table  

       [tex](Z< 0.6522)  = 0.74286 [/tex]

So  

       [tex]P(4 < X < 6) =  0.74286 -0.4141[/tex]

=>      [tex]P(4 < X < 6) =  0.74286 -0.4141[/tex]

=>      [tex]P(4 < X < 6) =   0.32876[/tex]

Generally the  probability that a randomly selected study participant's response was more than 8 is mathematically represented as

       [tex]P(X > 8) =  P(\frac{X - \mu }{\sigma} > \frac{8 - 4.5}{ 2.3}   )[/tex]

        [tex]P(X > 8) =  P(Z > 1.52174  )[/tex]

From the z-table  [tex]P(Z > 1.52174 ) =  0.064037[/tex]

So

    [tex]P(X >8) =  0.064037 [/tex]


Solve -2(2x + 5) - 3 = -3(x - 1).

Answers

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

What is distributive property?

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

For more questions related to equation

https://brainly.com/question/17145398

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Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.

Answers

Answer:

30 pages

Step-by-step explanation:

Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.

Plzzzzzzzzzzz helppppppp

Answers

Answer:

B

Step-by-step explanation:

B because it is the farthest away from 0.

A bathtub can hold 30 gallons of water.
How many quarts of water can it hold?
Enter your answer as a number, like this: 42

Answers

Answer:

120 quarts

Step-by-step explanation:

1 gallon=4 quarts

30x4= 120

Jefferson Elementary School is sending 8 of its students to a drumming contest in Orlando, Florida. The cost will be $588 per person. How much will it cost for the entire group of 8 students to attend?

Answers

Answer:

4704

Step-by-step explanation:

8*588=4704

Given the graph of h.
Solve for x: h(x) = -2 .

Answers

Answer:

{-3, -1}

Step-by-step explanation:

We want to find the value of x when the value of the graph is -2

h(x) = -2 when  x=1 and x = -3

{-3, -1}

What does reflecting over each axis do to a function algebra 2

Answers

Gggggghhhhhbhhjnjjnjjjjjjjjjjjjjkk

Which number has the lowest value?
A1/5B0.25C0.21D1/3

Answers

Answer:

A

Step-by-step explanation:

Answer:1/3 is bigger

Step-by-step explanation:

Please select the word from the list that best fits the definition

energy obtained from heat within the earth

Answers

Answer:

geothermal

Step-by-step explanation:

energy obtained from heat within the earth-geothermal

The word geothermal best fits the definition.

On average, Carson saves about 53% of his allowance each month. When creating a circle graph of what Carson does
with his money, which of the following fractions would be the best to represent how much he saves?
1/2 1/4 3/10. 3/4

Answers

Answer:

1/2

Step-by-step explanation:

1/2 would be the best fraction to represent how much he saves.

Which equation represents a line that is perpendicular to the line on the graph ? O y = - 4x + 3 O O y = - 1/4 * x + 1 y = 1/4 * x - 2 O O y = 4x + 4

Answers

Answer:

D

Step-by-step explanation:

Answer

Its  C notD!!!!!!

Step-by-step explanation:

The other person is wrong im right

You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32. You have one bag of each fruit. Each fruit basket must be identical. What is the greatest number of fruit baskets that you can make using all of the fruit? *

Answers

Answer:

4 fruit baskets.

Step-by-step explanation:

Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

Answers

Answer:

[tex]5\leq x\leq 40[/tex]

Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far

Step-by-step explanation:

Number of cookies made by Walter so far = 15

He is asked by his coach to make at least 20 cookies but no more than 55.

Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.

The inequality is [tex]20\leq x+15\leq 55[/tex]

Now solve this inequality.

[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]

Answer: a

Step-by-step explanation: because its right

The frequency of the red eyes (p allele) in fruit flies is 63% what is the frequency of the white eye allele (9 allele)?

37%

47%

57%

23%

Answers

Answer:

[tex]q = 37\%[/tex]

Step-by-step explanation:

Given

Red Eyes

[tex]p = 63\%[/tex]

Required

Determine Frequency of White Eyes (q)

In probability;

[tex]p + q = 1[/tex]

Make q the subject

[tex]q = 1 - p[/tex]

Substitute 63% for p

[tex]q = 1 - 63\%[/tex]

[tex]q = 37\%[/tex]

Answer:

37%

Step-by-step explanation:

this is really easy promise

Answers

Answer:

A.) slope= 4 and y intercept= 3

Step-by-step explanation:

y = x4+3

Answer:

y = x4+3

Step-by-step explanation:

look at answer

1.6.PS-21 Question Help Challenge A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 5 feet per second. The elevator for the miners descends 17 feet per second. One day, the equipment elevator begins to descend. After 29 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 seconds? At that time, which elevator is deeper? The position of the equipment elevator relative to the surface is feet​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Equipment elevator :

Descent rate = 5 ft/s

Miner's elevator :

Descent rate = 17 ft/s

Position of elevator after 16 seconds

Total descent time of equipment elevator = (29 + 16) = 45 seconds

Position after 45 Seconds :

Descent rate * time

5ft/s * 45s = 225 ft

Descent time of Miner's elevator = 16 seconds

Position after 16 Seconds :

Descent rate * time

17ft/s * 16s = 272 fts

Miner's elevator is deeper = 272 feets > 225 fts

Position of equipment elevator relative to the surface = - 225fts

Cindy’s square garden has a side length of x ft. She will plant 5 tulip bulbs per square foot. Write a function g to model the number of bulbs she will plant. Use your function to determine how many bulbs will she plant if the garden has a side length of 8 feet?

Answers

Answer:

The function that model the number of bulbs she will plant is g = 5x²

She will plant 320 bulbs in the garden

Step-by-step explanation:

∵ Cindy’s square garden has a side length of x ft

∵ Area of the square = side × side

∴ The area of the garden = x × x

The area of the garden = x² ft²

∵ She will plant 5 tulip bulbs per square foot

→ That means there are 5 tulip bulbs in 1 foot²

∵ The area of the garden is x² ft²

→ Multiply the area of the garden by 5

∴ The number of tulip bulbs in the garden = 5 × x²

∴ The number of tulip bulbs in the garden = 5x²

∵ g represents the number of bulbs she will plant in her garden

g = 5x²

The function that model the number of bulbs she will plant is g = 5x²

∵ The garden has a side length of 8 feet

→ That means the value of x is 8 feet

x = 8

→ Substitute the value of x in the function above

∴ g = 5(8)² = 5(64)

g = 320

She will plant 320 bulbs in the garden

The number of students in a chess club decreased from 16 to 12. What is the percent decrease ? Round to the nearest percent.

Answers

Answer:

25% decrease

- Trust me it's right

I NEED THIS ANSWER QUICK PLEASE!!!!!!!!!!
During the first hour of a snowstorm, 1 2/8 inches of snow fell. In the next hour, 4 3/8 inches fell. In the third hour, the snow stopped and 1 inch of snow melted. How much snow was on the ground at the end of the third hour?

Answers

Answer:

1 + 4 = 5

4/8 +3/8 = 7/8

5 7/8 - 7/8 = 5 inches left on the ground after 3 hours

Step-by-step explanation:

How do you check if a number is rational?
How do you check if a number is irrational?



Thanks!

P.S. 50 points & brainiest to whoever answer first!

Answers

Answer:

well it's really simple

Step-by-step explanation:

So the quick and dirty tip for checking whether a number is rational or irrational is to write it in decimal form. If the decimal goes on and on forever and never stops or begins to repeat predictably, it’s irrational. If the decimal stops after a finite number of digits or begins to repeat predictably, it’s rational.

Any number that is able to be written down as a fraction/ratio is a ration number.

An irational number is a number hat has a decimal, but can't be written as a fraction. Ex: Pi/π

Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.

Answers

Answer:

[tex]JK = 2[/tex]

Step-by-step explanation:

Given:

[tex]JK = 2x[/tex]

[tex]IJ = 5x[/tex]

[tex]IK = x + 6[/tex]

Required

Solve for JK.

Since J is on IK, we have:

[tex]IK = IJ + JK[/tex]

[tex]x + 6 = 5x + 2x[/tex]

[tex]x + 6 = 7x[/tex]

Collect Like Terms

[tex]7x - x = 6[/tex]

[tex]6x = 6[/tex]

Solve for x

[tex]x = 6/6[/tex]

[tex]x = 1[/tex]

Substitute 1 for x in [tex]JK = 2x[/tex]

[tex]JK = 2 * 1[/tex]

[tex]JK = 2[/tex]

f(x) = x2. What is g(x)?

Answers

Answer:

B. g(x)=(2x)^2

Step-by-step explanation:

this is right

How many ways can a delegation of 55 Republicans, 22 Democrats, and 33 Independents be selected from a group of 99 Republicans, 33 Democrats, and 44 Independents?

Answers

Answer:

[tex]C(99,55)\,C(33,22)\,C(44,33)[/tex]

Step-by-step explanation:

A permutation refers to arrangement of the objects or numbers in order.  Combinations refers to selecting the objects or numbers from a group of objects or collection such that the order of the objects does not matter.

A delegation of 55 Republicans, 22 Democrats, and 33 Independents is selected from a group of 99 Republicans, 33 Democrats, and 44 Independents.

So,

Number of ways [tex]=C(99,55)\,C(33,22)\,C(44,33)[/tex]

HURRY PLEASE 2020 2021 T-Math-Geo T1-CIT: Section 2 - Calculator Section
Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment

Answers

Answer:

the answer is a line segment :)

QUESTION 16

What is the value of m If the ratios 3:18 and m:42 are in

proportion?

Answers

Answer:

[tex]m = 7[/tex]

Step-by-step explanation:

Given

[tex]3:18 = m:42[/tex]

Required

Solve for m

[tex]3:18 = m:42[/tex]

Convert to fraction

[tex]\frac{3}{18} = \frac{m}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{3}{18} = \frac{m}{42} * 42[/tex]

[tex]42 * \frac{3}{18} = m[/tex]

[tex]m = 42 * \frac{3}{18}[/tex]

[tex]m = \frac{42 * 3}{18}[/tex]

[tex]m = \frac{126}{18}[/tex]

[tex]m = 7[/tex]

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

Answers

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

1 and 3 would both be correct

Kim's rectangle measures 4ft by 6ft. What are the dimensions of a rectangle that is similar to Kim's rectangle?

Answers

Answer: 24ft by 36

Step-by-step explanation:

It is asking which dimension of a rectangle is similar. 24 divided by 6 is 4 and if you do the same to 6 then 36 divided by 6 is also 6 which makes it similar

Why did karen take the kids (;´༎ຶД༎ຶ`)

Answers

haha life question right there

Wait Jimmy what are you doing here I didn't expect this

so we meet again, brother.

Answer:

Because Karen found your briefcase of $1 bills and some crusty socks.

Get over the divorce Jimmy, she doesn't like fax machines.

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