Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.13 and 2.99

Answers

Answer 1

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.


Related Questions

giving brainliest *easy*

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is this a free one i don’t see no picture

Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate

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1 1/6 that would be the mixed number of how much he ate....

how do you write 76% as a fraction​

Answers

Answer:

76/100 or simplified into 19/25

Answer:

Step-by-step explanation:

76/100

30. President Ronald Reagan earned a yearly salary of 2 x 10^5 dollars as
president. He served 8 years as president. What was the total amount of
money Ronald Reagan earned as president?
A 1.6 x 106 dollars
B. 2.0 x 106 dollars
c. 1.6 x 107 dollars
D. 2.0 x 107 dollars

Answers

Answer:

a) 1.6 x 10 ^6 dollars.

Step-by-step explanation:

since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.

Mike needs to buy a water tank. The tank must fit inside a storage box that is shaped like a cube with the side lengths of 30 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mike wants to buy the tank that has the largest capacity. What shape tank should Mike buy?

Answers

Answer:

sphere

Step-by-step explanation:

sphere has a larger volume

someone do this pls help?

Answers

It’s easy for the first one you add 10 each time

ans.................

Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
traveled 3/4 more of a mile on Tuesday, reaching its destination on Tuesday afternoon. How
far did Lexi's letter travel in all?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4

Urgent help please !!!

Answers

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling

Answers

Answer:

Stratified random

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation:

if you can answer correctly I will cash app you my cash app is cathackley

Answers


The boxes from left to right are

100
2
25/3

The ratio is 5/3 pies to cakes so
Top square = bottom square times 5/3
OR
Bottom square = top square times 3/5

Answer:

yo i know the answer its 5$ for me to help

Step-by-step explanation:

In what direction is the line containing the points (-4, 3) and (-4, 14) going?
A. horizontal
B. vertical
C. up and to the left
D. down and to the right

Answers

Answer:

A. horizontal because -4 and -4 are on the same line... it's coordinate planes it's always over then up so your line will be horizontal going from 3 to 14

Stuck On this one too. Think I’m missing a step

Answers

Answer:

The answer is B) 152

Step-by-step explanation:

Hallar un par ordenado (x,y) que sea una solución de la ecuación.
6x+y=9

Answers

Be f fnrrnr rnrkraabebene

A hipopótamos weight 1.5 tons what is its weight in ounces

Answers

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

.

Decide whether each statement is true or false. If a statement is true, say which of Euclid’s five postulates apply to it, then write the converse and contrapositive statements, and then decide which of these statements are true (it may help to rewrite the statements in “if-then” form). If it is false, give a counterexample or explain why.

a. A triangle can be drawn from any three points that are not on the same line.
b. A square can be drawn from any four points not on the same line.
c. When two lines intersect, the four angles they make add to 360 degrees.
d. There is only one parallel line to any given line.

Answers

Answer:

A) True

B) False

C) True

D) False

Step-by-step explanation:

A. This statement is True.

From euclid's postulates, if there are three straight lines that intersect each other another, and the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°, then it can be said that the other two straight lines will cross each other if they are both further extended on the same side of the figure in which the sum of the angles was less than 180° as we earlier said.

The converse statement is;

If three lines are drawn and two of the lines converge, then it means the third line can be drawn in such a way that the sum of the interior angles between this third line and the other two lines would be less than 180°.

The contrapositive statement is;

If the sum of the interior angles between the first line and the other two lines equals 180°,then it means that the other two lines will not intersect each other.

B. This statement is false.

The reason is because 4 sides of a square are always equal in length. As a result,all the 4 interior angles must be equal to 90°.

c. This statement is True.

From the first answer above, we saw that if there are three straight lines that intersect each other another, the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°.

Therefore, on the opposite side of the intersection, the sum of the adjacent angles would be equal to 180°

Thus;

180° + 180° = 360°

The converse statements is;

If two lines meet at a point then it means that the sum of the angles at that point equals 360°

The contrapositive statements is;

If the two lines do not meet at any point, then the sum of the angles on each straight line is 180°

d. This statement is False.

The reason is because there is not only one parallel line to any given line because a parallel line can be drawn from aso many points not even on the line in question.

Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?

Answers

The answer is 9.44067797

The gym charges $41.5 per month.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

One time fee of gym = $59

Justine will pay after one year = $557

So, gym fees per year = $557 - $59

⇒ gym fees per year = $498

∴ gym fees per month = gym fees per year / 12

⇒ gym fees per month = $498/12

⇒ gym fees per month = $41.50

Thus,the gym charges $41.50 per month.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?

Answers

Answer:

253 boxes

Step-by-step explanation:

757/3 = 252.33

You could just divide 757 pieces of pipe by 3 pieces of pipe = 252.3 which is round to 253 since there is no 0.3 box.

A television station shows 3 commercials every 12 minutes. At this rate, how many commercials will the station show in 84 minutes?

Answers

Answer:

21

Step-by-step explanation:

84/12=7x3=21

Answer:
It will take 72 mins to see 18 commercials.
Step-by-step explanation:
If a television station shows commercials every 12 mins, then to figure out how long it takes to see 18 commercials you will have to do 18 / 3 which is 6. Then do 12 * 6 and you will get 72 mins.
Another method is finding the unit rate of how long does it take to see one commercial. So in order to do that, you will have to do 12 / 3, and you will get 4. So, to see one commercial it will take 4 mins. But you want to find how long will it take to see 18 commercials. So you do 18 * 4 which equals 72 mins.

help me pleaseeeee !

Answers

Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

If Matrix A is 3 x 4, and Matrix B is 4 x 2, what is the size of matrix BA? If BA is undefined, please state so.

Answers

Answer:

Joe Mok

Step-by-step explanation:

Joe MAMA

The inspection division of the Lee County Weights μ. and Measures Department is interested in estimatin actual amount of soft drink that is placed in 2- to at the local bottling plant of a large nationally tles known soft-drink company. The bottling plant has ision that the standard deviation for 2-liter bottles is 0.05 liter. A random sanm ple of 100 2-liter bottles obtained from this botting plant indicates a sample average of 1.99 liters Section 8 (a) Set up a 95% confidence interval estimate of the (b) Does the population of soft-drink fill have to be (c) Explain why an observed value of 2.02 liters is not true average amount of soft drink in each bottle. normally distributed here? Explain. 8. unusual, even though it is outside the confidence interval you calculated. uppose that the sample average had been 1.97 liters. What would be your answer to (a)?

Answers

Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± [tex]Z_{95%}[/tex] ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = [tex]\overline{x}[/tex] =1.99

Standard deviation of population= [tex]\sigma[/tex] = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]

Learn more here:

https://brainly.com/question/2396419

10. A vehicle averages 68 km/h. How many kilometres can the car travel in 3 hours?​

Answers

Answer:

15 I believe. ...

Step-by-step explanation:

uhhhhhh

Mr. Fishman used to work in a warehouse in New York. He would fill up pallets of product to be shipped to retail stores around the country. He would then drive the forklift to place the heavy pallets on the industrial scale to determine the weight for the bill of lading and then he would load the pallets onto the shipping trucks. One shipment had a full pallet (10 cartons per level and 8 levels high) mixed with two different products that had the exact same size shipping carton. The different packages were clearly marked, but once they were loaded on the pallet it was almost impossible to distinguish between them. While the cartons were the same size, each carton of Product X weighed 3 pounds while each carton of Product Y weighed 5 pounds.

Required:
How many cartons of each product were on the pallet?

Answers

Complete question:

When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.

How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units

Answer:

we have 25 and 55 cartons of each product

Step-by-step explanation:

we have number of carton = 10 x 8 = 80

each level has 10, and leves are 8 high

two types of product packages,

we call them w and x

w + x = 80 ------ equation 1

w has 3 pounds weight

x has 5 pounds weight

3*w +5*x

3w + 5x

total weight = 325

we subtract weight of pallet 35

= 325 - 35 = 290

3w + 5x = 290-------- equation 2

we have two equations

w + x = 80------(1)

3w + 5x = 290-------(2)

from equation 1,

w = 80 - x

put this value above in equation 2

3(80-x) + 5x = 290

240-3x+5x = 290

240+2x = 290

2x = 290-240

2x = 50

divide through by 2

x = 25

put value of x in equation 1

w + 25 = 80

w = 80-25

w = 55

so we have 55 cartons of w and 25 cartons of product x

Please help fast! Will give brainliest to first correct answer!

Answers

Answer:

1. D

2.C

3.B

4. A

Step-by-step explanation:

:D

Answer:

1. the top one is connected to the bottom

2. is connected to the third one

3. is connected to the second one

4. is connected to the first

Step-by-step explanation:

look below

There were 20 boys and 26 girls in a chess club last year. This year the number of boys increased by 30% but the number of girls decreased by 15%. Was there an increase or
decrease in overall membership?

Answers

Step-by-step explanation:

Boys

[tex]20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26[/tex]

Girls

[tex]26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22[/tex]

Total last year 46

Total this year 48

Increase

what is the best way to describe | -2| ?

Answers

Opposite of 2, It really just means minus 2 so the opposite of 2 would end up being -2

Answer:

2

Step-by-step explanation:

calculate the actual sales since the sales tax were rung up together. assume sales tax of 6% and total sales of $27,000. What is the actual sales? ( round your answer to the nearest cent.)​

Answers

The answer is 270000

Answer:

$25471.7

Step-by-step explanation:

1.06*25471.7=27000.002

Hope this helps

Choose all of the expressions that can be used to find the volume of the rectangular prism.

Answers

Answer:

C. (6 × 5) × 2 = 60 m³

D. 5 × (6 × 2)

E. (2 × 5) × 6

Step-by-step explanation:

Volume of a rectangular prism can be given as, V = L*W*H

L = 6

W = 5

H = 2

However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.

Thus:

✔️V = (6 × 5) × 2 = 60 m³

✔️V = 5 × (6 × 2) = 60 m³

✔️V = (2 × 5) × 6 = 60 m³

These are the three expressions that can be used to find the volume.

In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry ​

Answers

Answer:

12

Step-by-step explanation:

First,

Add 45+52+15

Then the answer will be 112

Then -(minus) from 100

Answer:

18 students

Step-by-step explanation:

45 - 15 = 30 students only read physics

52 - 15 = 37 students only read chemistry

15 students read both

add all of them:

30 + 37 + 15 = 82

subtract the sum from 100

100 - 82 = 18

18 students doesn't study neither

The diameter of a circle measures 12 cm. What is the circumference of the circle?

Answers

Answer

The circumference  is 37.699

Hope this answer helped you!

⭐Please consider giving brainliest!⭐

Step-by-step explanation:

the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm

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