Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:

Answers

Answer 1

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52[/tex]

Thus, the minimum exam score to be awarded an A is about 8.52.


Related Questions

Find the equation of the line specified.The slope is -1/2, and it passes
through point (2,-5).
O y = 1/2x-5
O y=-1/2x-4
O y=-1/2x-5
O y = 1/2x+4

Answers

B is correct!

The equation would be y= -1/2x -4

help pls i’ll give brainlest if it’s correct .

Answers

Answer:

Pb (Lead)

General Concepts:

The number of protons in the nucleus of an element determines where it is on the Periodic Table and what element it is.

Step-by-step explanation:

Given: 82 Protons

Looking at the Periodic Table, the element that has 82 protons is Lead (Pb).

I need to answer something in order to ask something so here we go and by the way for those type of question it’s better to look it up in google cuz it’s way easier

For the greatest integer function F(x)=[[2x+1], if x is 3.6, what is f(x)

Answers

F(x) = (2(3.6)+ 1)
F(x) = 8.2

Using the greatest common factor, reduce the fraction 15\20to its simplest form.
A
4/5
B
15/60
C
3/4
D
3/5

Answers

Answer: 3/4

Step-by-step explanation: 15 simplified is 3 and 20 simplified is 4

3/4

x varies inversely as y², and x = 6 when y = 8. Find x when y = 2.

Answers

Answer:

x=96

Step-by-step explanation:

Since x varies inversely as [tex]y^{2}[/tex], x*[tex]y^{2}[/tex] = k

sub x=6, y=8 into x[tex]y^{2}[/tex] = k  =>  6*64 = k => k= 384

so when y =2, x = 384/ ([tex]2^{2}[/tex]) = 384/4 = 96

Done :)

By some miracle, a Smudgy Press book is found to have 90% of its pages free of typographic errors. Assuming that the distribution of the typographical errors per page is Poisson, what is the probability that a randomly selected page contains exactly one error

Answers

Answer:

The value is  [tex]P(X = 1 ) = 0.0948[/tex]

Step-by-step explanation:

From the question we are told that

  The  the probability that the Smudgy Press book pages have zero  errors   [tex]p = 0.90[/tex]

Gnerally the probability distribution for Poisson distribution is  

        [tex]P(X = x) = \frac{\lambda ^x * e^{-\lambda}}{x!}[/tex]

Gnerally the probability that the Smudgy Press book pages have zero  errors is mathematically represented as

       [tex]P(X = 0) = \frac{\lambda ^0 * e^{-\lambda}}{0!} =p= 0.90[/tex]

=>    [tex]e^{-\lambda} =p= 0.90[/tex]

taking natural  log of both sides

       [tex]ln (e^{-\lambda}) = ln(0.90)[/tex]

=>     [tex]-\lambda = -0.1054[/tex]

=>   [tex]\lambda = 0.1054[/tex]

Generally the probability that a randomly selected page contains exactly one error is mathematically represented as

         [tex]P(X = 1 ) = \frac{\lambda ^1 * e^{-\lambda}}{1!}[/tex]

=>       [tex]P(X = 1 ) = \frac{0.1054 ^1 * e^{-0.1054 }}{1!}[/tex]

=>       [tex]P(X = 1 ) = 0.0948[/tex]

f(x) =-7x -5
When the input is -5 , the output is __

Answers

Hope this helps . Contact if you still don’t understand .
The output would be f(x)=30

Need help !! I will give brianly

Answers

Answer:

"if no deposits or withdrawals..." and "this account may generate income..." are both an Investment Account

Step-by-step explanation:

and the other two are for a savings account

|3x+1|-1=8Please help me

Answers

Answer:

Your answer is: x = 8/3 , -10/3

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

PLEASE HELP I WILL MARK BRAINLIEST
Find TWO numbers if their difference is 16 and their ratio is 5:7.

Answers

Answer:

Step-by-step explanation:

their difference is 16

x - y = 16

⇒ x = 16 + y

their ratio is 5:7

x/y = 5/7

substitute:

(16 + y)/y  = 5/7

16 + y = (5y)/7

112 + 7y = 5y

2y = -112

y = -56

x - y = 16, so x -  -56 = 16,

x+56 = 16

x = 16-56

x = -40

Evaluate 15s for s= 2.
When s= 2, 15s =

Answers

Answer: 30

Step-by-step explanation:

If s is 2, the new equation would be 15x2, which is 30.

Answer:

30

Step-by-step explanation:

[tex]15 \times 2 = 30[/tex]

I think this is the answer

what is the distance of an object traveling with a speed of 10m/s in 2 seconds

Answers

20m distance x time

What percentage of adults in high‑income countries are overweight or obese? (Enter you answer rounded to one decimal place.)

Answers

Answer:

66%

Step-by-step explanation:

According to a study conducted by the World Health Organization, 66% of adults in high-income countries are overweight. Even though the exact reason for this is not known, there are two main theories. The first one is that individuals make more money and therefore have extra income to spend on food, mainly junk food such as snacks, ice cream, candy, etc. The second theory is that due to the large number of work hours that individuals in these countries have to put in, they tend to eat more often at fast food places such as McDonald's and Burgerking.

Work out 5 3/5 / 2 2/3

Answers

Answer:

2.1 or 2 1/10

Step-by-step explanation:

brainlist plz I really need it

a) how do I work out 7/9 x 5 2/5?

Answers

Answer:

1.55

Step-by-step explanation:

A boy is twirling a model airplane on a string 4 feet long. If he twirls the plane at 0.5 revolutions per minute, how far does the plane travel in 4 minutes

Answers

Answer:

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Step-by-step explanation:

From Rotation Physics we know that angular speed is the number of revolutions done by a particle at a given time. If the boy is twirling a model airplane at constant speed, then we calculate such variable as follows:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]\dot n[/tex] - Angular speed, measured in revolutions per minute.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions.

[tex]t[/tex] - Time, measured in minutes.

Now we clear the number of revolutions done by airplane within expression:

[tex]n = \dot n \cdot t[/tex]

If we know that [tex]\dot n = 0.5\,\frac{rev}{min}[/tex] and [tex]t = 4\,min[/tex], then we get that number of revolutions is:

[tex]n = \left(0.5\,\frac{rev}{min} \right)\cdot (4\,min)[/tex]

[tex]n = 2\,rev[/tex]

The airplane made two revolutions in four minutes.

Now, the distance covered by the airplane ([tex]s[/tex]), measured in feet, is calculated by means of the equation below:

[tex]s = 2\pi\cdot l\cdot n[/tex]

Where:

[tex]l[/tex] - Length of the string, measured in meters.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions (dimensionless).

If we get that [tex]n = 2\,rev[/tex] and [tex]l = 4\,ft[/tex], then the distance covered by the airplane in 4 minutes is:

[tex]s = 2\pi\cdot (4\,ft)\cdot (2\,rev)[/tex]

[tex]s \approx 50.265\,ft[/tex]

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

This table gives a few (x,y) pairs of a line in the coordinates plane

What is x look at photo

Answers

Answer: it’s -32,0! - 10 on the left and -7 on the right because of you start at -12,14 you get the y value to 0 and increase by 10 since it is shown to be a increase in each x and y value

Step-by-step explanation:

find the critical points and classify them as local maxima, local minima, saddle points, or none of these.

Answers

This question is incomplete, the complete question is;

find the critical points and classify them as local maxima, local minima, saddle points, or none of these.

f(x,y) = (x + y)(xy + 1)

Answer:

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Step-by-step explanation:

Given that;

f(x,y) = (x + y)(xy + 1)

f(x,y) =x²y + xy² + x + y

for critical points fx =0 ,fy =0

fx = 2xy + y² + 1 = 0, fy = x² + 2xy + 1 = 0

2xy + y² + 1 = 0, x²+ 2xy + 1 = 0

2xy + y² + 1 - x² - 2xy - 1 = 0

x² = y²

=> x = y, x = -y

2xy + y² + 1 = 0, x = y

2yy + y² + 1 = 0

3y² = -1 , no solution

2xy + y² + 1 = 0, x = -y

-2yy + y² + 1 = 0

=> -y2 + 1 = 0

=> y = -1, y = 1  

y = -1 => x = 1, y = 1 => x = -1  

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Please help, please please!

Answers

2x^3 - 7x^2 + 6x^2 - 21x - 8x + 28

2x^3 - x^2 - 29x + 28

Subtract. Express your answer in lowest terms 7/15 - 4/9

Answers

Answer:

1/45

Step-by-step explanation:

7/15-4/9

LCM=45

21-20/45

1/45

Answer:

1/45

Step-by-step explanation:

math

i need help it is due today 1st gets brainless!
How did the Phoenicians’ willingness to travel far for trade eventually lead to the spread of their civilization? EXPLAIN

Answers

Answer:

the phoenicians willingness to travel lead to their civilization as sailors traveled farther for trade they established colonies for their homeland some of these colonies became powerful city states phoenicians also spread parts of their culture and economy to the people that they traded with.

Step-by-step explanation:

PLS help what is 6 ÷ two fifths ​

Answers

Answer:

its 15

Step-by-step explanation:

i took the quiz and google

Answer:

15 lollsss

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 2y = 6

Answers

Answer:

y=x-3

Step-by-step explanation:

The slope 1
Y-intercept (0,-3)

Problem: The length of a rectangle is 3cm more than twice its width. If the perimeter is
60cm, find its length.

Answers

Answer:

16.5cm

Step-by-step explanation:

[tex]perimeter = 2(l + w)\\l = 3 + w\\perimeter = 60\\2(l + w) = 60\\sub (l = 3 + w) for - l\\2((3+w) + w) = 60\\2(3 + w + w) = 60\\2(3 + 2w) = 60\\6 + 4w = 60\\4w = 60 - 6\\4w = 54\\w = \frac{54}{4}\\w = 13.5\\\\substitute- w= 13- into 2(l = 3 + w)\\l = 13.5 + 3\\l = 16.5[/tex]

You have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.85 each. Your budget allows you to spend $39.00 on bulbs. How many crocus bulbs and how many daffodil

Answers

The question is incomplete:

You have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.85 each. Your budget allows you to spend $39.00 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy?

Answer:

You can buy 20 crocus bulbs and 40 daffodil bulbs.

Step-by-step explanation:

From the information provided you can write the following equations:

x+y=60 (1)

0.25x+0.85y=39 (2), where:

x is the number of crocus bulbs and y is the number of daffodil bulbs.

First, you can solve for x in (1):

x=60-y (3)

Then, you can replace (3) in (2):

0.25(60-y)+0.85y=39

15-0.25y+0.85y=39

0.60y=39-15

y=24/0.60

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=60-40

x=20

According to this, the answer is that you can buy 20 crocus bulbs and 40 daffodil bulbs.

Help please due today

Answers

Answer:

18. 2,970 orbits.

19. 12,00 pounds

20. Vic’s town by 52,000

Step-by-step explanation:

Part C
Using the description you wrote in part A, develop an equation for the total number of riders in terms of the number of trips.​

Answers

Answer:

The statement "r equals 20 times t" can be written as the equation r =20t

In order to qualify for Glamazon's free shipping, Wendy
must purchase at least $50 worth of cosmetics. So far
she has 4 eye shadows which cost $8.00 a piece in her
basket. How many lip glosses can she get to qualify for
free shipping, if lip glosses are $10 each?

Answers

Answer:

2 lip glosses

explanation

4x8= 32

50-32=18

2 lipglosses would be $20

32+20=52

52>50 meaning she qualifies for free shipping

4 eye shadows -- 8 x 4 = $32

lip glosses $10 -- 32 + 10 + 10 = $52

to qualify for free shipping, wendy needs to buy 2 lip glosses.

FIND THE COORDINATES I NEED HELP ASAP TEST PLEASE BE SURE OF YOUR ANSWER I NEED IT TO BE CORRECT

Answers

Answer: (1, 0)

Step-by-step explanation:

1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.

Step-by-step explanation:

had a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow, how many marbles were neither red nor yellow?

Answers

Answer:

The answer is 9

Step-by-step explanation:

The number marbles were neither red nor yellow is 9.

Given that, a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of red marbles = 1/4 × 28

= 7

The number of yellow marbles = 3/7 × 28

= 12

Total number of red and yellow marbles = 7+12 = 19

Neither red nor yellow = 28-19=9

Therefore, the number marbles were neither red nor yellow is 9.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Other Questions
A container of N2O3(g) has a pressure of 0.575 atm. When the absolute temperature of the N2O3(g) is tripled, the gas completely decomposes, producing NO2(g) and NO(g). Calculate the final pressure of the gas mixture, assuming that the container volume does not change. which topic would be more important as explanatory text rather than basic informational text Help!Describe the flow of energy in this food chain. Be sure to use the names of the organisms and what role they serve in the food chain (producer, consumer, or decomposer). If an organism is a consumer, identify whether it is an herbivore, carnivore, or omnivore. how do I make LiOH + CO2 -> Li2CO3 + H2O balanced?*ignore the 10,10,30* Help plsssssssssssssssssss If y varies directly as x and y = 208 when x = 16, what is the value of y when x= 11? The length of Carl's hair was 9 3/4 inches. After his hair cut, the length was 6 1/2 inches . How many inches did he cut? A stereotype isa. an assumption about a whole group based on peer pressureb. an assumption about a whole group based on the actions of just a few.C. an assumption about a whole group based on religious background.d. an assumption about a whole group based on political beliefs.Please select the best answer from the choices provided OD 1/2 times blank plus two equals zero. what goes into the blank?0 =1/2 x ___ +2 A person or enterprise harmed by a Sherman Act violation may bring an action for: a. treble damages. b. quadruple damages. c. punitive damages only. d. actual damages only. Active involvement of individuals,business administration and countries around the world is eddential to protect the planet and guarantee the well being of people Read this student draft about The Land, Part 2In part 2 of The Land by Mildred D. Taylor, Paul covers for Mitchell by taking the blame for Mitchells mistake. This brings the two together. Paul explains, "Mitchell nodded, and that was as close as Mitchell Thomas came to thanking me and as close as I came to accepting his thanks. But after that, things began to change between Mitchell and me. What is the best concluding sentence for this draft?Mitchell does not express his emotions openly.Mitchells gratitude helps his and Pauls friendship grow.Mitchells nod shows that he respects Paul.Mitchell realizes that he should improve his behavior toward Paul. 15 POINTS Can someone who knows spanish read what I wrote and tell me if it looks correct ? Mi motivacin para aprender espaol viene de mi meta de viajar en el futuro porque quiero ver el mundo. Una de mis metas es aprender italiano y francs y tomar espaol me ayudar a hacerlo. Ray AT bisects ZCAR, mZCAT = 5x and mZCAR = 9x + 7. What is mZ TAR? Can someone explain how to do this? will give brainliest What kinds of ideas defined the Progressive Era? Alice wants to use a three-step process to summarize a text she has read. She starts by determining the mostimportant point. What is her second step?O including supporting detailsO identifying key wordswriting a conclusionputting the main idea into wordsI KNOW THE ANSWERThe answer is D,im only doing this so people dont need to watch an ad! When graphed, the three lines y=-x + 2 y=2x-1, and y= x-2 intersect in such a way that they form a triangle.What are the coordinates of the three vertices of this triangle?.-6-5312 345 6734-5-6OA (2.0), (0, 2), and (-1, -3). (0, 2), (2.0), and (1,-1)2020 Edmentum. All rights reserved. ISLAMC.E. ADFounder:Date of Origin: CircaPlace of origin:Name of Followers:Religious Text / Book:Place of Worship:Titles of Religious Figures.Religious Holidays:Basic Beliefs:Religious Symbols: Some Muslims do not recognize thecrescent moon and star as a symbol of Islam. Others usecalligraphy styled writing, and the use of animals or living thingsare forbidden to represent Islam.