A university decides to accept only the top 15% of

the applicants applying. Their acceptance is based on

performance on an entrance exam. If the mean was 70 and

the standard deviation was 8, then what is the minimum

score needed to be accepted to the university?

Answers

Answer 1

The minimum score needed to be accepted in the university when it takes only top 15% performers where performace had mean 70 score and standard deviation of 8 is found being 78.32 approx.

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, suppose that:

X = the score a student gets in the considered university's entrance exam.

Then, we have:

[tex]X \sim N(\mu = 70, \sigma = 8)[/tex]

Let X = x be the score such that scores bigger than x is 15% of all the scores applicants get.

That means, P(X > x) = 15% of the total area the distribution of X have under its normal distribution. Or, we can say that there is 15% chance of getting scores above X = x

Now, we can rewrite this statement as:

[tex]1 - P(X \leq x) = 0.15[/tex]

Converting X to Z (standard normal variate), we get:

[tex]1 - P(X \leq x ) = 0.15\\\\1 - P\left(Z \leq z = \dfrac{x - 70}{8} \right) =0.15\\\\P(Z \leq z = (x-70)/8) = 0.85[/tex]

The value Z = z for which the p-value is approx 0.85 is found from the z-tables as:

Thus, we get:

[tex]z = \dfrac{x-70}{8}\\x = 8z + 70\\x \approx 8 \times 1.04 + 70 = 78.32[/tex]

Thus, the minimum score needed to be accepted in the university when it takes only top 15% performers where performace had mean 70 score and standard deviation of 8 is found being 78.32 approx.

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ1


Related Questions

Pilar did not include the _____.

The mean is _____.

The median is _____.
ILL GIVE BRAINLIEST HELP

Answers

Answer:

Pilar did not include the   14.

The mean is 20.

The median is 15.5.

Step-by-step explanation:

The mean: [tex]\frac{12+15+15+16+18+44}{6} =20[/tex]

The median: 12, 15, 15, 16, 18, 44

The median is [tex]\frac{15+16}{2} =15.5[/tex]

Hope this helps

Please help with my grade 11 math! Ill give the brainliest!

Answers

Answer:

9.6^2=100^2+100^2-2(100)(100)  

theta=cos^-1((9.6^2-100^2-100^2)/(-2(100)(100))  

theta=5.5

Step-by-step explanation:

A population of 12,000 fish has a growth rate of 4% each year. Write a model for the situation About how many years will it take for the population to
reach 20,000?
O A 12,000(1.047" = 20,000; 1.6 years
B. 12,000(1.04)" = 20,000: 13.02 years
C. 12,000 0.00 – 20.000; 12.77 years
D. 12,000.00 = 20,000: 5 29 years

Answers

Answer:

B

Step-by-step explanation:

Trial and error into (ABOUT/APPROXIMATELY)

y=12000(1.04)^x

1. Solve x2+ 3x – 4 = 0
2. Solve 2x2 – 4x – 3 = 0
3. Solve x(x – 2) = 4
4. Solve 9x2+ 12x + 4 = 0
5. Solve x
2+ 2x = 1
WILL GIVE BRAINLIEST

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3.25 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8.75 meters. which of the following equations models d, the depth of the water in meters, as a function of time, t, in hours? let t = 0 be 12:00 a.m. d = negative 3.75 cosine (startfraction 4 pi over 31 endfraction t) 5 d = negative 3.75 cosine (startfraction 4 pi over 29 endfraction t) 5 d = negative 2.75 cosine (startfraction 4 pi over 31 endfraction t) 6 d = negative 2.75 cosine (startfraction 4 pi over 29 endfraction t) 6

Answers

In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6

What are periodic waves?

A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency

Putting together some information given in the statement we have:

The minimum depth of 3.25 m occurs at 12:00 am and at 3:30 pm.Therefore the period t=0 will be  12:00 am.The maximum depth of 8.75 m occurs at 7:45 am and at 11:15 pm.

Knowing that the formula will be given by an equation similar to:

[tex]d=acos(bt)+k[/tex]

Where:

d = depth, mt = time, hoursa= amplitude

The amplitude difference is given by:

[tex]8.75-3.25=5.5\ m[/tex]

The mean depth is:

[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]

Then writing the equation with;

[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]

Hence the value of water depth will be d=5.5Cos(12t)+6

To know more about Periodic wave follow

https://brainly.com/question/11736139

factor the polynomial
1. w^2+9w+14
2. x^2-14x+45

Answers

Answer:

1. ( w + 7 ) ( w + 2 )

2. ( x - 9 ) ( x - 5 )

Step-by-step explanation:

1.

w² + 9w + 14

= w² + 7w + 2w + 14

= w ( w + 7 ) + 2 ( w + 7 )

= ( w + 7 ) ( w + 2 )

Hence, factorised.

2.

x² - 14x + 45

= x² - 5x - 9x + 45

= x ( x - 5 ) - 9 ( x - 5 )

= ( x - 9 ) ( x - 5 )

Hence, factorised.

if there are 34555 apples in a truck then 300 are ate ant 200 go to trash and 999 is in room. how many left. Answer in hurry​

Answers

Answer:33,056

Step-by-step explanation:i dont know jut put this answer

63.6% to a fraction in simplest form

Answers

Answer:

159/250

Step-by-step explanation:

63.6% =

636/1000

divided by 2

318/500

divided by another 2

159/250

Answer:

159/250

Step-by-step explanation:

63.6% = 63.6÷100=.636

636/1000 divide each part by 2 (both are even numbers)

318/500 divide by 2 again (still even)

159/250 no more factors that are the same.

The marked price of a car is $49,500. A person can pay deposit of 30%
and interest at 12% per annum is charged on the outstanding balance.
The total amount payable is to be paid in 2 1/2 years. A) the amount of
each monthly installment b) The hire purchase of the car​

Answers

The amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

Monthly installement

a.  Monthly installment

2 1/2 years=30 months

First step

Amount payable=[49,500×(1-.30)] /30 months

Amount payable=(49,500×.70)/30 months

Amount payable=$34,650/30 months

Amount payable=$1,155

Second step

Amount of monthly installment=[$1,155×(1+0.12)

Amount of monthly installment=$1,155×1.12

Amount of monthly installment=$1,293.6

Amount of monthly installment=$1,294 (Approximately)

b. Hire purchase

Hire purchase=$1,155×.12×30 months

Hire purchase=$4,158

Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

Learn more about monthly installment here:https://brainly.com/question/2151013

#SPJ1

Matilda and her family took a trip to Yellowstone National Park to see Old Faithful
erupt. Matilda was standing 125ft from the blast. The blast rose 100ft in the air.
What is the angle from Matilda to the top of the blast?

Answers

Using the slope concept, it is found that the angle from Matilda to the top of the blast was of 38.66º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 100 ft, while the horizontal change is of 125 ft, hence:

[tex]\tan{\alpha} = \frac{100}{125}[/tex]

[tex]\alpha = \arctan{\left(\frac{100}{125}\right)}[/tex]

[tex]\alpha = 38.66^\circ[/tex]

The angle from Matilda to the top of the blast was of 38.66º.

More can be learned about the slope concept at https://brainly.com/question/18090623

NO LINKS PLEASE!

Using circle theorem 2, which states that the angle oppositeto the center in a semicircleis a right angle and the fact that the sum of the interior angles of a triangle is equal to 180°, calculate the value of x

Note: Angle B = x + 15, Angle C = x + 5​

Answers

Answer:

the value of x can be found as 10

Step-by-step explanation:

A college professor wants to survey a sample of students taking his course. Here are some details about his course:


He teaches 5 sections of the course.

There are 250 total students across those sections.

There are 50 graduate students and 200 undergraduate students taking the course.

Each section has about 50 students (some graduate and some undergraduate).


The professor wants to take a sample of 30 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account. Which of these strategies will accomplish his intended design?


a. Randomly select 6 students from each section for the survey.

b. Randomly select 6 graduate students and 24 undergraduate students for the survey

c. For each section, randomly select one of the first 8 students to arrive to class, and every 8th student thereafter to take the survey.

d. Randomly select one of the sections and give the survey to every student in that section

Answers

Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.

Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.

Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.

Answer:

Step-by-step explanation:

B

I'm stuck on these questions....

Answers

Answer:

call 911

Step-by-step explanation:

they serve anyone

A bookstore sold the same number of books each day for 17 straight days. The store sold a total of 5,066 books. How many books did the bookstore sell each day? A) 288 books B) 298 books C) 5,049 books D) 5,083 books

Answers

Answer:

B) 298

Step-by-step explanation:

5,066 ÷ 17 = 298 books

Your answer is B). Hope this helps :)

What is the exact decimal equivalent of 7 half’s 12

Answers

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

What is a decimal number?

A decimal number is a number represented by an integer and a fractional part

How to determine the decimal equivalant?

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

Read more about decimals at:

https://brainly.com/question/1827193

in a certain school of 200 students ,the students can study french,spanish,,both or neither . Just as many study both as study neither .One quarter of those who study spanish also study french.The total number who atudy french is 10 fewer than those who study spanish only .what percent of student study french only​

Answers

Answer:

1900

Step-by-step explanation:

i took the est

What is the percent of increase from 6 to 9?

Answers

Answer:

50%.

Step-by-step explanation:

please mark me the brainiest

You rent 3 DVDs and 2 video games for $19. The following week, your friend rents 6 DVDs and 4 video games for $38. Which of the following statements apply?

Answers

Answer:

It is "The video game rentals cost more than the DVD rentals"

what are the domain and range?

Answers

Answer:

sooo i think it would be

-infinity > x > infinity

edit:

it will also be

-infinity > y > 64  

i think since y ends at 64 (hightest height above the ground)

Step-by-step explanation:

umm because the graph goes forever? not really sure though since in my college the topics are a little different and they may not teach in yours

ANSWER THIS TO GET 23 POINTS AND BRAINLIEST

Answers

Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.

I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).

The traditional interest formula is I = (P)(R)(N).

P = the original amount of money given

R = interest rate

N = the amount of time

I hope this answers your question (and that I understood the question correctly!).

-Toremi

Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °

Answers

The points on the red arc are points A and B

The measure of the red arc is 75 degrees

How to determine the measure of arc XYZ?

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

Read more about arc and chords at:

https://brainly.com/question/25871159

Two-hundred people are at a wedding. The dinner tables seat 10 people. How many tables are needed to seat all of the guests?

Answers

Answer:

20 tables

Step-by-step explanation:

200 guests, 10 guests per table. You need to divide 200 people into groups of ten. Therefore, you should form the equation 200/10. The answer would be 20.

Answer:

Required tables = [tex]200 \div 10 = \bf\: 20 \: tables[/tex]

Solve sec (y + pi/2) = - 2 for 0 < y < pi radians.
Help needed!! anyone?

Answers

[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]

Square A′B′C′D′ is a dilation of square ABCD.

What is the scale factor?

Enter your answer in the box.

Note: Images may not be drawn to scale

Answers

The scale is just division of the sides.
6/2 = 3/1

So 3:1
Meaning the left one is 3 times the size of right one.
OR
2/6 = 1/3
So 1:3
Meaning right one is 1/3 the size of left one

Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2)(4.4)(5) – one-third (one-half)(2)(4.4)(3.9) one-half(2)(4.4)(5) one-third (one-half)(2)(4.4)(3.9)

Answers

The expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

What will be the volume of the composite figure?

The volume of the composite figure will be the sum of the volume of the prism and the volume of the pyramid.

The Volume of the prism = Area of the base * height of the prism

Area of the base = 1/2*4.4 *2

Height of the prism =5

So, the Volume of the prism =  (1/2)* (4.4)*(2)*(5)

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid =  1/2*4.4 *2

Height of the pyramid =3.9

So, the volume of the pyramid = (1/3)* (1/2)*(4.4)*(2)*(3.9)

So, total volume =  (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

Hence, the expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

To get more about prism visit:

brainly.com/question/23963432

Answer:

D

It's D for those who want a fast answer!!

Step-by-step explanation:

Why is the interest rate one of the biggest factors when calculating the financial charges on credit cards?

Answers

the interest rate adds a percentage of money not already spent to pay towards the credit cards if not paid in full each month.

Answer:

Interest rate is one of the biggest factors in calculating finance charges because the interest rate adds a percentage of money not already spent to pay towards the credit cards if not paid in full each month.

Date:

Bell:

Unit 11: Volume & Surface Area

Homework 8: Volume of Pyramids &

** This is a 2-page document. **


Directions: Find the volume of each figure, Round to the nearest hundredth when necessi

1.

2. 3 km

22 cm

14 cm

8 km

14 cm

1/3 (314)

75. 3

3.

4.

-8 ft

5. 7 yd -

3,74

12 ft

23 ya

9 yd

Answers

The volume of any shape is the amount of space in it.

The volume of the cylinder is 1570 square units

How to determine the volume?

The question is incomplete. Assume the following parameters

Shape = Cylinder

Radius, r = 10

Height, h = 5.

The volume of a cylinder is:

V = πr^2h

So, we have:

V = 3.14 * 10^2 * 5

Evaluate the product

V = 1570

Using the assumed values, the volume of the cylinder is 1570 square units

Read more about volumes at:

https://brainly.com/question/1972490

Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2)(4.4)(5) – one-third (one-half)(2)(4.4)(3.9) one-half(2)(4.4)(5) one-third (one-half)(2)(4.4)(3.9)

Answers

The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

What will be the volume of the composite figure?

The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.

Volume of the cube = length*breadth*height

So, the volume of the cube = 8*6*4

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 8*6

Height of the pyramid = total height - height of the cube

Height of the pyramid = 10-4 =6

So, the volume of the pyramid = 1/3 * 8*6*6

So, total volume = (8*6*4)+ 1/3 * (8*6*6)

Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

To get more about prism visit:

https://brainly.com/question/23963432

Answer:

D. One-half(2)(4.4)(5) + One-third (One-half)(2)(4.4)(3.9)

Step-by-step explanation:

E2020

2x + 5y = 20
6x - 5y = 12

Answers

Answer:

is this a question?

Step-by-step explanation:

If you’re asking to solve a system of equations, then x=4 and y= 12/5 or 2.4

First Solve 2x+5y=20 for x

Add -5y to each side
2x=5y-20

Divide both sides by 2
x= -5/2y +10

Next substitute -5/2y +10 for y in the equation 6x-5y=12

6(-5/2y+10) -5y=12
-20y+ 60= 12

Then simplify again by adding -60 to each side
-20y= -48

Then divide by -20 on each side

Y= 12/5 (or 2.4)

Now to find x substitute 12/5 for y in x= -5/2y+10

X= -5/2(12/5) +10

X= 4

So X=4 and Y= 12/5 or 2.4

Hope that helped







Round 3, 295.351 to the nearest tenth.
3, 295.35
3, 295.3
3, 300
0 3,295.4

Answers

Answer:

3,295.4

Step-by-step explanation:

to the nearest tenth is 3,295.4

Other Questions
Type the correct answer in the box. Spell all words correctly.Which colors are considered warm colors that create a feeling of excitement and vibrancy?___ , orange, and yellow are warm colors that create a feeling of excitement and vibrancy. One wave on a string is moving toward the right and another is moving toward the left. When they meet in the middle, half of the cycle of the wave from the right overlaps with half of the cycle of the wave from the left. The result is that the string gets flat when the two waves meet. What happened? What will happen after the waves meet? Use the pointslope formula to write an equation of the line that passes through 4,15 and has a slope of m = 4. Write the answer in slopeintercept form (if possible). The equation of the line is_____ Read the statement.There werent enough seats at the movie theater because there were too many people.Which logical fallacy is used?red herringad hominem attackcircular reasoninghasty generalization View filters are applied in what order? Give your answer in minutes. 8. Which attitude or talent most clearly helps Odysseus triumph in the bow-and arrow challenge in the excerpt from the Odyssey Please complete each sentence with the correct direct and indirect object pronouns and use TWO pronouns in the answer.1) ANITA:Dnde estn las mesas? Cundo _____ (a nosotros) va a traer tu padre?2)PATRICIO: A las 3:00 de la tarde. Necesito la carne picada opens in a dialog para preparar las hamburguesas. _____ das?3)ANITA: Est en el refrigerador. Ahora ______ traigo si t me buscas los tomates para la ensalada.4)PATRICIO:Perfecto. Los recojo opens in a dialog del jardn y _____ dejo en la cocina en cinco minutos.ANITA:Gracias. Quin nos va a hacer los dulces?5) PATRICIO:Mi hermana _____ va a hacer. Pero necesita los ingredientes.6)ANITA:Yo ______ llevo despus de ir al supermercado. Es todo?PATRICIO: Cundo les escribo un mensaje de texto a los invitados con la direccin para llegar a la casa?7)ANITA:Es mejor si _____ escribes dos horas antes de la fiesta. No lo olvides! Between which two consecutive numbers does 48 fall on the number line USE SAMPLE ANWSER FROM EDMENTUMUse the drawing tools to graph the average monthly temperatures in biome A and biome B. Plot both data sets on the same graph. Use a different symbol for each data set, and be sure to include a key. in three to five sentences, describe the growth of towns in the west help please ! brainliest to first correct answerWhat is the solution for x2 18x < 77? x < 11 or x > 7 x < 7 or x > 11 11 < x < 7 7 < x < 11Question 2(Multiple Choice Worth 2 points)(07.01 LC)A two-variable inequality is shown in the graph.upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curveWhich point is not included in the solution set for the inequality? (1, 3) (0, 4) (1, 5) (2, 4)Question 3(Multiple Choice Worth 2 points)(07.01 MC)Which graph represents the solution of y x2 + 2? upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabolaQuestion 4(Multiple Choice Worth 2 points)(07.01 MC)What is the range of the function f(x) = |x| + 5? R: {f(x) | f(x) < 5} R: {f(x) | f(x) 5} R: {f(x) | f(x) > 5} R: {f(x) | f(x) 5}Question 5(Multiple Choice Worth 2 points)(07.01 MC)What is the solution to the inequality |2x + 3| < 7? 4 < x < 10 5 < x < 2 x < 4 or x > 10 x < 5 or x > 2 Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 startfraction 5 c 3 over 20 c 3 endfraction. What do Napoleon's interactions with the dogs in Chapter 5 reveal about his motivations for the education of theyoung" (Page 34) Can you please help me Find the volume of the rectangular prism. When washing tableware in a three compartment sink servsafe. A construction worker complains of intense pain after a bag of dry powder was spilled on his arm. The EMT should: When taxes are increased, disposable income , and hence consumption .A. increases, increasesB. increases, decreasesC. decreases, increasesD. decreases, decreasesIts not Cand why is it right What event activated the need for the first income tax?