The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.

What is the probability that a randomly selected score is greater than 334? Write your answer as a decimal

Answers

Answer 1

Using the normal distribution, it is found that there is a 0.0228 probability that a randomly selected score is greater than 334.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 310, \sigma = 12[/tex]

The probability that a randomly selected score is greater than 334 is one subtracted by the p-value of Z when X = 334, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{334 - 310}{12}[/tex]

Z = 2

Z = 2 has a p-value of 0.9772

1 - 0.9772 = 0.0228.

0.0228 probability that a randomly selected score is greater than 334.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1


Related Questions

OLZ HELP ILL MARK AS BRAINLEST

Use the excerpt to answer the question. As Melanie climbed down into the 2 points rowboat, Gina scooted over on the bench to make room for her. "We have to pick up Jacob now," Gina said, handing Melanie one of the oars. “And we should hurry so we can be long gone before the patrol barge comes by." Gina hadn't told Mom where she was going. Her mother had been smoothing a washcloth over Brandon's forehead as Gina had headed out. When her mother had asked where she was off to, Gina had tossed out some vague explanation. It was better for Mom not to worry. She had enough to worry about these days. They all did. Which statement conveys the main idea of the excerpt?

Gina, Melanie, and Jacob are worried to leave Brandon when they take their rowboat out because they know his mother has been fussing over him a lot lately.

Gina and Melanie need to get Jacob before they are caught, and Gina doesn't want her mother to know where she is going so as not to worry her.

Gina's mom is worrying about her and Melanie because they are going to pick up Jacob in their rowboat.


Jacob is missing, and his friends Melanie and Gina decide to go looking for him without telling anyone​

Answers

Answer:

the second one

Step-by-step explanation:

Gina's mom does not know where she is, meaning that Gina did not tell her and implyling she did not want to worry her.

what does it mean when something is at most 6

Answers

Answer:

"At most"  Means that you met largest possible number that you can use in a number set.

Step-by-step explanation:

Basically 6 is the highest number reached and cant go any higher but it can go lower.

6 more than x is less than 4​

Answers

Answer:

how

Step-by-step explanation:

Answer:

6×4?

Step-by-step explanation:

6 is more than 4 bro

what need to do here

Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner will each sibling have to eat tonight?

Answers

Answer:

They each had 1/20 of the original meal

Step-by-step explanation:

To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.

0.2 / 4 = 0.05.

Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.

0.05 = 1/20

They each had 1/20 of the original meal

Which congruence theorem can be used to prove △WXS ≅ △YZS? Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent. SSS ASA SAS HL

Answers

Answer: ASA

Step-by-step explanation:

Pat bounced a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?

Answers

Answer:

125
Please mark brainliest!

Step-by-step explanation:

To get this answer, we multiply 25 by 5, because 5 = 150 divided by 30.
25 x 5 = 125, so the answer is 125.

joe saved up 25 his mother gave him an additional 20 he boua movie that cost 15 how much money dose joe have left

Answers

Answer: 30

Step-by-step explanation: Before Joe had $45 in total, He then spent it on a movie which is $15. So $45-$15=30

Answer:

25+20-15=30

Step-by-step explanation:

Here You Go Bud

The radius of a circle is 16 yards. What is the circle's circumference?
Use 3.14 for ​

Answers

Answer:

100.48

Step-by-step explanation:

2 x 16 x 3.14 = 100.48

Explain why 16 to the power of 1/2 is equal to 4. Give as much detail as possible. FIRST ONE TO ANSWER GETS BRAINLIEST

Answers

Answer:

4

Step-by-step explanation:

16^1/2 = sqrt(16) = 4

4*4 = 16

Multiply.
12x^4 (-5/6x^3y^2)

Answers

Answer:

-10[tex]x^{7}[/tex][tex]y^{2}[/tex]

Step-by-step explanation:

12[tex]x^{4}[/tex]([tex]-\frac{5}{6} x^{3}[/tex][tex]y^{2}[/tex])
First multiply 12 * - [tex]\frac{5}{6}[/tex] , solving this you get -10
Next multiply [tex]x^{4}[/tex] by [tex]x^{3}[/tex] , solving this you get [tex]x^{7}[/tex]

Finally you have [tex]y^{2}[/tex], and nothing to multiply it by. So it stays as [tex]y^{2}[/tex]

Put is all together and you get -10[tex]x^{7}[/tex][tex]y^{2}[/tex]

-10x^7y^2

i do k12 i just took that test


Find the least common denominator (LCD) 8/9 and 4/5

Answers

Answer:

45

Step-by-step explanation:

First we write the first 10 multiples of 9 (the first denominator) :

9,18,27,36,45,54,63,72,81,90

Now we write the first 10 multiples of 5 (the second denominator) :

5,10,15,20,25,30,35,40,45,50

As we can see 45 is the lowest number that appears in both list.

Therefore 45 is the LCD of 8/9 and 4/5

Answer:

45

Step-by-step explanation:

So since we are finding the LCD, we only look at the denominators, 9 and 5.

We can count until we find the denominator:

[tex]9,18,27,36,45\\5,10,15,20,25,30,35,40,45[/tex]

So the LCD would be 45.

factor the expression k^2+16k+64

Answers

Answer:

[tex]\huge\boxed{\sf (k + 8)(k + 8)}[/tex]

Step-by-step explanation:

Given expression:

[tex]k^2+16k+64[/tex]

We can write it as:

[tex]=(k)^2+2(k)(8)+(8)^2[/tex]

Using formula [tex]\bold{a^2+2ab+b^2=(a+b)^2}[/tex]

[tex]=(k+8)^2[/tex]

= (k + 8)(k + 8)

[tex]\rule[225]{225}{2}[/tex]

ANSWER[tex]\red{(k + 8)(k + 8)}[/tex]

Find the nth term of this quadratic sequence. 3,11,25,45

Answers

Since you know the sequence is quadratic, we can find constants a, b, and c such that the n-th term of the sequence (denoted by f(n)) is

[tex]f(n) = an^2 + bn + c[/tex]

We're given f(1) = 3, f(2) = 11, and f(3) = 25. (We have three unknowns, so we only need three conditions.) Solve for the constants:

[tex]\begin{cases}f(1) = a + b + c = 3 \\ f(2) = 4a + 2b + c = 11 \\ f(3) = 9a + 3n + c = 25 \end{cases} \implies a=3, b=-1, c=1[/tex]

Then the n-th term of the sequence is

[tex]f(n) = \boxed{3n^2 - n + 1}[/tex]

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

because 2.5x2.5=5 min so in a another 2 page which is 2.5 min so it C


9) Write the equation of the given line in slope-intercept form:

Answers

Answer:

[tex]y = - 3x - 1[/tex]

Step-by-step explanation:

shown in attachment

Rename 5/6 and 14/15 using the least common denominator.

Answers

Answer:

[tex]\frac{25}{30}~and~\frac{28}{30}[/tex]

Multiply 5 by 5 to get your first parameter.

[tex]5 * 5 = 25[/tex]

Multiply 6 by 5 to get the denominator, or your second parameter.

[tex]5 * 6 = 30[/tex]

For the second fraction, [tex]\frac{14}{15}[/tex], you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.

[tex]14 * 2 = 28[/tex]

Now, multiply 15 by 2

[tex]15 * 2 = 30[/tex]

The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.

[tex]25~and~30 -- > \frac{25}{30}[/tex]

[tex]28~and~30-- > \frac{28}{30}[/tex]

________________________________________________________

Finally, the problem is solved. Now that the problem is solved, we review what we just learned not through more problems, though.

________________________________________________________

What have we learned?

We learned how to efficiently make fractions' deominators match.

Questions related to this topic? Ask me in the comments box, please!

Prior to June 1, Sandler Company had no treasury stock transactions. Then, on June 1, the company paid $5,000 to purchase 100 shares of its common stock on the open market. On July 1, the company sold 50 of these shares at $52 per share. Then, on August 1, the company sold the remaining 50 shares at $46 per share. Prepare the journal entry

Answers

Answer:

Explanation:

The journal entries are shown below:

On June 1

Treasury Stock A/c Dr $5,000 (50 shares × $100)

To Cash A/c $5,000

(Being treasure stock is purchased)

On July 1

Cash A/c Dr $2,600 (50 shares × $52)

To Treasury Stock A/c $2,500     (50 shares × $50) To Paid in capital - Treasury stock $100

(Being treasury stock is sold at higher price and the remaining amount would be credited to the paid in capital account)

On August 1

Cash A/c Dr $2,300       (50 shares × $46)

Paid in capital - Treasury stock $100

Retained Earnings A/c Dr $100

To Treasury Stock A/c $2,500 (50 shares × $50)

(Being treasury stock is sold at lower price and the remaining amount would be debited to the retained earning account)

Please ASAP I NEED UNDER 5 MINUTES


58. SIMPLIFYING AND SOLVING Compare and contrast the two problems.

Also need help with 3 problems on top

Answers

Answer:

55. 16       56. 48       57.27

Step-by-step explanation:

You add all the sides that you are given together and then you subtract that from the perimeter given. EX. In question 55 you would do 20+12=32 so 48-32=16.


PLSS I NEED HELP ASAPPP!!!

Mary had 12 eggs. She ate 2 eggs per day (x). Choose all of the points that would lie on a graph of the line representing the number of eggs remaining, y, after x days. O A. (2,4) B. (2,8) C. (2,10) D. (4,2) E. (4.4) G F. (4,8)​

Answers

Answer:

B. (2,8)

E. (4,4)

Explanation:

equation that can be created: y = 12 - 2(x)

where y is the remaining eggs and x is days

sequence:                  coordinates:

1st day: 12 - 2 = 10         (1,10)

2nd day: 10 - 2 = 8        (2,8)

3rd day: 8 - 2 = 6           (3,6)

4th day: 6 - 2 = 4           (4,4)

5th day: 4 - 2 = 2           (5,2)

6th day: 2 - 2 = 0           (6,0)

Simplify 16 - 8 + 5x- 3x
8+8 x
10 x
8 + 2 x
16 + 2 x

Answers

Answer:

8 + 2x

Step-by-step explanation:

To simplify this expression, combine like terms.

16 - 8 = 8

5x - 3x = 2x

8 + 2x

hope this helps :)

Answer:

Because of the x between the 5 and 3 u have to put them in a bracket form or group like terms. After that u subtract the 16 from 8 and the 5x from the 3x so the answer will be equal to 8 +2x because 16-8=8 and 5x-3x=2x so it will be 8+2x

Which survey question could have been asked to produce this data display?
A How much does your dog weigh?
B How many times do you feed your dog each day?
C How many bags of dog food do you buy each month?
D How much does your bag of dog food weigh?

Answers

Answer:

D.

Step-by-step explanation:

I did the test, and the previous answers were incorrect :)

Answer:

The correct answer to this question would be B:

Step-by-step explanation: Have a good day

How is Fibonacci seen in nature

Answers

The Fibonacci sequence can be seen in the formation and split of tree branches. A primary trunk will continue to expand until it produces a branch, which will result in the formation of two growth points. One of the new stems then splits into two, leaving the other inert. Each of the new stems follows the same branching pattern.

Solve for x: 3(x + 1) = 2(x - 1)
0-5
What’s the answer?

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=−8/3

Decimal Form:

x=−2.6

Mixed Number Form:

x=−2 2/3

hope this helps

3x+3= 2(x-1)
3x+3=2x-2
3x+3-2x=-2
3x-2x=-2-3
x=-2-3 because 2+3 is five so it’s -2 so it would be - five(-5) just - turns into plus
x=-5

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry club wants to spend at most $49 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answer:

t >= 5

Step-by-step explanation:

Which of the following has eight faces?
ОО
O A. octahedron
O B. tetrahedron
O C. icosahedron
O D. dodecahedron

Answers

Choice A - Octahedron is the answer

An ice cream shop uses 6 bananas to make 4 identical sundaes. How many bananas are used used each sundaes?

Answers

Answer:

1.5 bananas to make each sundaes

Step-by-step explanation:

6 divided by 4

What is the discriminant of the polynomial below?

9x^2 - 18x + 9

A. 0

B. 648

C. -306

D. -18

Answers

The answer is letter A

A spinner is divided into blue, green, and red parts. George spins the spinner 4300 times. A table of outcomes is shown. 1 Based on this data, what is the estimated probability of the spinner landing on red?

Answers

Answer:

0.34

Step-by-step explanation:

6×8×<10×5 is it true or false ​

Answers

Answer:

True

Step-by-step explanation:

6 × 8 = 48

10 × 5 = 50

48 < 50

hope this helps :)

Sweet tea put a new batch of cupcakes in the oven at 4:15 cupcakehave to break for 20 minutes what time should sweet tea take cupcakes out of the oven

Answers

4:35 is the time for it to bake
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