Applicants to a psychology department have normally distributed GRE scores with a mean, LaTeX: \muμ, of 544 and a standard deviation, LaTeX: \sigmaÏ, of 103. What percentage of applicants scored between 500 and 700? Round to the nearest percent.A. -24% B. 78% C. 2296 D. 24% E. 5%

Answers

Answer 1

Answer:

The probability is P(500 < X  < 700 ) =  0.60044

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = 544[/tex]

     The standard deviation is  [tex]\sigma = 103[/tex]

Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as

      [tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]

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

      [tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]

=>   [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]

Generally from the z-table, the area under the normal curve to the left corresponding to    1.5146 and     -0.4272  is

  P(  Z<  1.5146 )  =  0.93506

   P ( Z <   -0.4272 ) = 0.33462

So

       P(500 < X  < 700 ) =  0.93506 -  0.33462

=>    P(500 < X  < 700 ) =  0.60044


Related Questions

Volume of 120 grams divided by 480cm3

Answers

Answer:

= 0.25 g/cm3

Step-by-step explanation:

this is called density the grams per volume.

density = mass

               volume

             =   120g

                480cm3

  = 0.25 g/cm3

What are there fractions equivalent to 6/24

Answers

Answer: Remember how to find equivalent fractions? Here are some:

1/4, 2/8, 3/12, 4/16, 5/20, 25/100, 90/360, 1800/7200

To find all of these, there's a simple method- multiply the denominator and the numerator by the same number. As long as you make sure to use the same number for both the top AND the bottom, you'll always have an equivalent fraction. For example,

1                1800            1800

---    x     --------------   =   ---------

4               1800             7200

This works because, as you may have noticed, any muliplier you use is in the form of n over n, which, of course, is equivalent to one whole or 100%. Make sense?

The three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given fraction is 6/24.

Simplify the fraction:

6/24

= 3/12

= 1/4

Divide and multiply the above fraction by 2:

2/8

Hence, the three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

Learn more on fractions here:

brainly.com/question/10354322

#SPJ2

A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,00 shares of stock owned by 111,273 shareholders. Must all of the shareholders own more than one share of stock? If 3,411 shareholders attend the meeting, what percent of the shareholders attended the meeting? Round to the nearest percent. If the shareholders who do not attend own a combined 1.8 million shares of the corporation and the shareholders are voting on a particular issue, these shareholders can vote by proxy - an absentee ballot. If 100,000 of the shareholders vote by proxy, what percent of the shareholders did not vote at all?? Round to the nearest percent.

Answers

Answer:

a) The percentage of the shareholders who attended the meeting is 3%.

b) The percentage of the shareholders who did not vote at all is 7%.

Step-by-step explanation:

a) Data and Calculations:

Outstanding shares = 2,351,000

Number of shareholders = 111,273

Number of shareholders who attended the meeting = 3,411

The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100

= 3.065

= 3%

Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares

Proxy voters =               100,000

Non-voting shareholders 7,862

Therefore, the percentage of shareholders who did not vote at all

= 7,862/111,273*100

= 7.0655

= 7%

While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive.

Answers

Answer:Alex found 3 jellyfish for very sea turtle.

Step-by-step explanation:

Answer:

3 jelly fish

Step-by-step explanation:

in 7 hours, the temperature on the slopes of a mountain ski resort fell from 9° f to 2° f. what was the average change per hour.​

Answers

Answer:

1 deggre per hour

Step-by-step explanation:

fred can complete a work in 6 days and Paul can complete a work in 3 days. if fred and Paul work together, how many days can the work be completed?​

Answers

Answer:

I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.

Step-by-step explanation:

Can a triangle be drawn with side lengths 8.4 inches, 9.2 inches, and 17 inches?

Answers

Answer:

yes

Step-by-step explanation:

based on the triangle inequality theorem, add the two smallest numbers together (8.4,9.2) to get 17.6 which is bigger than 17

Are these two triangles congruent? Use tracing paper to justify your answer

Answers

Answer:

no

Step-by-step explanation:

Answer:

Where's the pic shorty

Step-by-step explanation:

????????

Queue really good summer time happy feeling good memories music

Answers

Answer:

u want recommendations?

Step-by-step explanation:

Answer:

Watermelon Sugar

Can you solve this please

Answers

Answer:

( 5 × 9 ) + (5 × 4 )

Step-by-step explanation:

Find the 3 ×3 matrix that produces the described composite 2D transformation​ below, using homogeneous coordinates. Translate by ​( −6​, 3​), and then scale the​ x-coordinate by 0.3 and the​ y-coordinate by 1.3.

Answers

Answer:  

               「0.8   0   -2

                    0    1.2   3

                    0     0     1 」

Step-by-step explanation:

The [tex]3\times 3[/tex] matrix will be "[tex]\left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]".

According to the question,

The [tex]3\times 3[/tex] with homogenous coordinates is:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

Translation from (0, 0) to (a, b) will be:

[tex]T = \left[\begin{array}{ccc}1&0&a\\0&1&b\\0&0&1\end{array}\right][/tex]

Here,

a = -6b = 4

Translation by (-5,4)

[tex]T = \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]

Now,

Let's find the scaling matrix 5.Scale the x-coordinated by "0.3" and y-coordinates by "1.3".

i.e.,

[tex]S = \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right][/tex]

then,

The [tex]3\times 3[/tex] matrix will be:

→ [tex]A = ST[/tex]

      [tex]= \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right] \ \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]

      [tex]= \left[\begin{array}{ccc}0.3&0&-0.3\times 6\\0&1.3&1.3\times 3\\0&0&1\times 1\end{array}\right][/tex]

      [tex]= \left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]

Thus the above answer is correct.

       

Learn more about Matrix here:

https://brainly.com/question/9035564

Anybody know how to solve for Y

Answers

Answer: y = 108

Step-by-step explanation:

Here is the complete solution

Joe has 6 marbles. Joe and Kay have 11 marbles. Kay and Sara have 7 marbles. How many marbles does Sara have?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Joe = 6

J + K = 11

Kay = 5

K + S = 7

Sara = 2

Estimate 511 x 637 by first rounding each number so that it only has 1 nonzero digit.

Answers

Answer:

Step-by-step explanation:

511 * 637 = 500 * 600

              = 300000

511. Here ten's place is 1 and its <= 5. So, it is 500

637. Here ten's place is 3 and its <= 5. So, it is 600

Answer:

300,000

Step-by-step explanation:

Rounding so that a number only has 1 nonzero digit means that you should round to the nearest hundred. Remember when rounding look to the digit to the right of where you are rounding to, if that is 4 or less round down and if it is 5 or greater round up. So to round 511 look at the tens place, since it is less than 4 it rounds to 500. To round 637 look at the tens place, since it is also less than 4 round down to 600. Then to multiply 500 x 600 just multiply the first digits, 5 x 6=30, then add the zeros. In total there were 4 zeros in the estimated equation so the final answer would be 300 plus four zeros.

So 500 x 600=300,000

1) Which statement below is equivalent to - 15 - 12? Ex choice. a) - 15 + 12=-3 b) -15 +-12=-27 c) 15 - 12=3 d) 15--12=-27 ANSWER: EXPLAIN:​

Answers

ANSWER: B
It’s equivalent to -15-12

What value of a makes the following equation true?
a−8a=210

Answers

Answer:

a=-30

Step-by-step explanation:

need a little help with this problem

Answers

Answer:

Step-by-step explanation:

Rate (slope) of miles per gallon of gas: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(0, 0)

(2, 50)

[tex]m_{carA}[/tex] = 25 mi/gal.

(0, 0)

(3, 60)

[tex]m_{carB}[/tex] = 20 mi/gal.

Car B use less gasoline.

write 13.28 as a fraction in the lowest term​

Answers

Answer:

13 wholes and 7/25

Step-by-step explanation:

write 28 over 100 and just simplify but don't forget 13

For the function h(x)=4x-6 find the following: a. f(0) b. f(3) c. f(1/4)

Answers

Answer:

a.) -6

b.) 6

c.) -5

Step-by-step explanation:

Plug in each value for x

f(0) = 4(0) - 6 = -6

f(3) = 4(3) - 6 = 6

f(1/4) = 4(1/4) - 6 = -5

Answer:

a f)0)=4(0) - 6= -6

b f(3)=4(3) - 6=6

c f(1/4)=4(1/4)_6= -5

Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME

Answers

x + y + 6 = 5
x - y + 18 = 9

2x + 24 = 14 minus 24
2x = -10 divided by 2
x = -5

-5 + y + 6 = 5
y = 4

PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!

QUESTION: 5y+(-5)=10

STUDENT WORK: IMAGE DOWN BELOW

1. Explanation of Errors Made

2. Correct Solution (show all work)

Answers

Answer:

Step-by-step explanation:

5y + (- 5) = 10

The first mistake made in the image was when they subtracted from an already negative number. You add 5 to both (-5) and 10, which would be 5y = 15, due to the fact that 5 is being multiplied by y, you divide both sides by 5, making 3 the correct answer.

1. 5y + (-5) = 10

2. 5y +5 +5

3. 5y = 15

4. 5y/5 15/5

5. y = 3

Answer this please thanks

Answers

Answer:

The answer is yes, since the graph is an equal line throughout.

Step-by-step explanation:

the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is 3480,find the number of terms and the common difference of this arithmetic sequence​

Answers

Answer:

40 terms

Step-by-step explanation:

Sum of n terms formula:

Sn = 1/2n(a1 + an)

Solving for n

3480 = 1/2n(9 + 165)3480 = 87nn = 3480/87n = 40

Answer:

Required Answer:-first term =a=9Last term =l=165 Sn=3480

As we know that in a AP

[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {1}{2}}(a+l)n[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}} (9+165)n[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}}(174)n[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {174}{2}}n [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3480=87n [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf n={\dfrac {3480}{87}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf n=40[/tex]

[tex]\therefore[/tex]Number of terms=40.

what function best models the data and what wil be the chicken breast after 50 miutes​

Answers

Answer:

Students use linear, quadratic, and exponential functions to model data from tables and choose the regression

most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a

regression model and then interpret the function in context. They then make predictions based on their model

and use an appropriate level of precision for reporting results and solutions.  

Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked

to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used

calculators to write linear regressions) and apply similar techniques for data sets that are

better suited to modeling with quadratic or exponential regressions. Students use that

same technique to find linear regressions and use their graphing calculators to examine

the correlation coefficient and to find quadratic and exponential regressions. They

compare correlation coefficients to determine which model is best for the data.

Ultimately, students choose the regression model (linear, quadratic, or exponential) most

appropriate to a given data set and then write, verify, and interpret these models in

context. Students need a graphing calculator to complete this lesson. Graphing calculator

instructions are provided, but steps may vary slightly depending on the model of the

graphing calculator.

Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS

and page 72 of the CCSSM).

Scaffolding:

 Students are more

engaged when working

with relevant and real data

that interests them.

Websites that provide

data sets are a good

resource for classroom

investigations.

 This lesson might need to

be divided into two days if

students need more time

to master the technology.

Step-by-step explanation:

Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo

Answers

Step-by-step explanation:

Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).

what is 4(x-1)^2+2=10

Answers

Answer:

Answer below

Step-by-step explanation:

4(x−1)

​2

​​ =10−2

4(x−1)

​2

​​ =8

(x−1)

​2

​​ =

​4

​8

​​

(x−1)

​2

​​ =2

x −1=±√

​2

x−1=√

​2

​​

x-1=-\sqrt{2}x−1=−√

​2

​​

x=√

​2

​​ +1

x=−√

​2

​​ +1

x=√

​2

​​ +1,−√

​2

​​ +1

What is R ^-3 x R ^5

Answers

Answer:

that's good and I'm good

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

Answers

Answer:

0.1827

Step-by-step explanation:

Given mean of exponential distribution = 100

==> 1/χ = 100  ==> χ = 1/100 ==> χ = 0.01

PDF of χ , f(x) = χe^(-χx), x ≥ 0

===> f(x) = 0.01e^(-0.01x), x ≥ 0

Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day

P(X>170) = ∞∫170 f(x)dx

P(X>170) = ∞∫170 0.01 e^(0.01x) dx

P(X>170) = [e^(-0.01x) / -0.01]^∞  base 170

P(X>170) = -1 [e^-∞  - e^-0.01*170]

P(X>170) = e^-1.7

P(X>170) = 0.1827

The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827

The science center has 200 people in attendance on Monday. The center expects Saturday's attendance to be 140
percent of Monday's attendance. Natasha is trying to figure put how many people will be in attendance. Her work is
shown below.
part 140
whole 100
140-2 ?
100x2200
140-2-70
70 people will be in attendance.

Answers

Answer:

Natasha should have multiplied 140 by 2

Answer:

A

Step-by-step explanation:

#2 which table describes a function ??

Answers

Answer:

H.

Step-by-step explanation:

A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.

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