Scores on the GRE are normally distributed with a mean of 514 and a standard deviation of 92. Use the 68-95-99.7 rule to find the percentage of people taking the test who score above 698.
The percentage of people taking the test who are above 698 is ___%

Answers

Answer 1

Answer:

2.5%

Step-by-step explanation:

The percentage of people taking the test who are above 698 is ___%

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question, we have:

Mean of 514 and a Standard deviation of 92

Hence:

μ ± xσ

514 ± 92x = 698

514 + 92x = 698

92x = 698 - 514

92x = 184

x = 184/92

x = 2

Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:

100 - 95% /2

= 5/2

= 2.5%

The percentage of people taking the test who are above 698 is 2.5%


Related Questions

Write these numbers in order of size.
Start with the smallest number


0.13 3/20 12% 1/10 0.09

Answers

.09, 1/10,12%,0.13,3/20

Some marbles in a bag are red and the rest are blue. If one red marble is removed,
then one-seventh of the remaining marbles are red. If two blue marbles are removed
instead of one red, then one-fifth of the remaining marbles are red. How many
marbles were in the bag original

Pls give EXPLANATION

Answers

Answer:

22

Step-by-step explanation:

Let r be red and b be blue

1/7(r-1+b)=r-1

1/5(r+b-2)=r

r-1+b=7(r-1)

r+b-2=5r

r-1+b=7r-7

1=7r-7-5r

8=2r

r=4

1/5(4+b-2)=4

2+b=20

b=18

18+4=22

which relations represent functions?​

Answers

The first one and the third one represents a function beside each input has one output.

Find an equation of the parabola with vertex (2, -1) and directrix y=-7.

Answers

Answer:

the answer to this is y=7x-15

There are 18 fish in a pond. 9 carp, 8 koi,
and 1 trout. what is the probability of picking a koi if you pick a fish at random?

Answers

Answer:18/5

Step-by-step explanation:

Can someone help pls !

Answers

Answer:

(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]

Step-by-step explanation:

12x - 13y = 7

17x - 22y = - 51

A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]

[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]

[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]

sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs.

Answers

18 boxes that is how many boxes she will neee

she needs 18 boxes.

What is factoring?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.

Given

Based on the given conditions, formulate: 8 x = 144

Divide both sides of the equation by the coefficient of variable: x = 144/8 out the common factor: x = 18

To know more about factoring refer to :

https://brainly.com/question/25829061

#SPJ2

10 ( y - 2)
what is the answer

Answers

Answer:

10y-20

Step-by-step explanation:

sorry if I am incorrect

10y -20 I think not sure about it

I need help please thank you

Answers

Answer:

D I'm sure....................... :D

Answer:

ok surly yes always

Step-by-step explanation:

i think it is D

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS?


Costs are ___ at the rate of $___ per month at this production level.

Answers

Answer:

Costs are changing at the rate of $588 per month at this production level.

Step-by-step explanation:

From the question, we have:

C = 0.3X^2 + 8,000 ........................ (1)

Differentiating equation (1) with respect to time, t, we have:

dC/dt = (0.3 * 2) X (dX/dt)....................... (2)

Where;

X = 70

dX/dt = 14

Substituting this into equation (2), we have:

dC/dt = (0.3 * 2) * 70 * 14

dC/dt = 588

This implies that costs are changing at the rate of $588 per month at this production level.

Write an recursive rule for the sequence 7,14,21,28

Answers

+ 7 every time......

HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!

Answers

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

PLZ SOMEONE HELP ME WHAT IS 10 + 10 devided by 10 then subtracted by 0 then + 1000000000

Answers

Answer:

10+10= 20/10= 2-0= 2+1000000000= 1000000002

Step-by-step explanation:

Answer:

the answer is 1000000011

Step-by-step explanation:

10+10/10-0

10/10=1

10+1-0

11-0=11

1000000011


PLEASE HELP 6TH GRADE

Answers

First one is 7+x and the second one is 3y or 3 times y

Which set of ordered pairs is made up of points on the graph of the function below? y=2x+3

Answers

(0, -6) , (1 , -4) , ( 2 , -2)
Please tell me if I’m wrong

A group of students were in a disagreement about how to solve for x in the figure.
Which method could be used to solve?
x
12
30%

Answers

Answer:

C.using sin(30⁰).

because A=sin 30⁰bh

Given the function f(x) = x2-2, find the average rate of change over the interval -2 sxs 4​

Answers

Answer:

The correct answer for that is (98)

Please help guys!!!!!!

Answers

Answer:I think its 68

Step-by-step explanation:

Answer:

The measure of angle N is 68 degrees.

Step-by-step explanation:

Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).

— 6x - 2 = 4x + 36

Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.

— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2

— 2x = 38

Now, divide both sides of the equation by 2 to find the value of x.

— 2x/2 = 38/2

— x = 19

Finally, substitute 19 for every x in the original equation. Simplify.

— 6(19) - 2 = 4(19) + 36

— 114 - 2 = 76 + 36

— 112 = 112

We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.

— 360 - 112 - 112 = 136

— 136/2 = 68

The measure of angle N is 68 degrees.

Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek

Answers

Answer:

3-7×14 1294

6.-40

Step-by-step explanation:

mark me as brainliest

Solve the equation - [tex]\frac{w}{5}[/tex] +9=13. What is w?

Answers

Answer:

w = -20

Step-by-step explanation:

-[tex]\frac{w}{5}[/tex] + 9 = 13

Shift the (+9) to the other side of the equation. (+9) will turn into (-9).

-[tex]\frac{w}{5}[/tex] = 13 - 9

   = 4

Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).

-w = 4 × 5

    = 20

Multiply both sides of the equation by (-1) so that -w will turn into w.

w = (-1) × 20

w = -20

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 2000 points to continue on to the next level. Write and solve an inequality that represents the number d of diamonds you must collect in less than 2 minutes to advance to the next level.
NEED HELP ASAP

Answers

Answer:

i need helppppppppppppppp

Step-by-step explanation:

HURRY PLEASE?!
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 13 an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 23 an ounce per second.

Below is a graph of this system.


After how many seconds do both Diego and Lin have the same amount of milkshake left?
[ Select ]

How many ounces do both Diego and Lin have left of their milkshakes at that point?
[ Select ]

Answers

Answer: 24 seconds

4 ounces

Answer:

24 seconds and 4 ounces

Step-by-step explanation:

The point where both lines meet is the point where they are both equal.

The point where both lines meet is (24,4)

Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.

Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.

Answers

Answer:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Answer:

Yes

Step-by-step explanation:

Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.

Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces

Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.

Multiply 4.5 by 10 for a total from Machine B, 45 ounces.

Add 42.5 to 45 totalling 87.5

Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.

The solution is...?
Thanks in advance.

Answers

Answer:

Answer has been attached above thanks

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x^2 + 3x + 8x + 24 =

= x^2 + 11x + 24

Find f(-2)for f(x)-3 . 2^x

Answers

B. 3/4 is the correct answer
Answer:

Yes B is correct

Explanation:

After you simplify the expression, the exact form is 3/4

Write the ratio as a fraction lowest terms 7 days to 13 days

Answers

Answer:

The answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]

Step-by-step explanation:

We need to write ratio as a fraction lowest terms 7 days to 13 days

Ratio as fraction is written as: [tex]\frac{a}{b}[/tex] if we have a to b

So, in our case 7 days to 13 days

a= 7, b= 13

Writing ratio as fraction:

[tex]Ratio \ as \ fraction =\frac{7}{13}[/tex]

The fraction cannot be further simplified as already in lowest form so, the answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 19 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answers

Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

Help with this question please ASAP!! :)

Answers

Answer:

options 1, 3, and 6.

Step-by-step explanation:

on the diagram, ∠2 is in the area of line EA and EG. If you are reading it by letters, ∠GEA is equal to ∠2 because they are in the same area. The last option (6) being ∠AEG, the middle angle is E which is the same as ∠GEA and ∠2.

hope this helps!! :))

Afla suma a trei numere ,stiind ca primul este succesorul numarului 999 ,al doilea este cu 1.872 mai mare ,iar al treilea cat primele doua la un loc.

Answers

Answer:

7744

Step-by-step explanation:

Din informațiile furnizate:

Succesorul primului număr 999 = 1000

Al doilea este cu 1872 mai mare= 1872 + 1000 = 2872

Al treilea care sunt primele două împreună = 1000 + 2872 = 3872

Suma celor trei numere = 1000 + 2872 + 3872

= 7744

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