Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
normally distributed with a mean of 78 and a standard deviation of 7. The top 15% of all scores have
been designated A’s. Your score is 89. Did you earn an A? Explain.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

Use the formula to find z-scores:

z = (x - μ)/σ

We have:

z = 1.04, μ = 78, σ = 7

Substitute the values and solve for x:

1.04 = (x - 78)/7x - 78 = 7.28x = 85.28

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A


Related Questions

Helppppppppppp meeeeeeeeeee

Answers

Answer:

the value of x°= 20°

explanation is in the picture attached below

hope it is helpful to you

the graphs of f(x) =-2x and g(x)=(1/2)^z are shown

Answers

Answer:

f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:

The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x. ​

Answers

Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7

Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A \frac{1}{4} 4 1 ​ B \frac{3}{2} 2 3 ​ C 1\frac{3}{4}1 4 3 ​ D \frac{4}{4} 4 4 ​ Frankin races 33 laps in the same lane. The total distance he races is more than 4\frac{1}{2}4 2 1 ​ miles. Which track does Franklin race on?

Answers

Answer:

51

Step-by-step explanation:

51 is elaginlent to 44 and 33 12 garde things

Which of the following is a solution set to the equation x^2-10x+16=0

Answers

Answer:

x=2. or. x=8

Step-by-step explanation:

x^2-10x+16=0. s=-10

x^2-8x-2x+16=0. p=16

x(x-8)-2(x-8)=0. [-8,-2]

(x-2)(x-8)

x=2. or. x=8

Mark is building a sandbox inside a play area. How much play area remains outside of the sandbox?

Answers

Answer:125

Step-by-step explanation:

How do you find the perimeter of a rectangle with the dimensions

(x^2+2x-16) ft (length)
and (x+5) ft (width)

Answers

Answer:

(2x²+6x-22) ft

Step-by-step explanation:

l = (x²+2x-16) ft

and w = (x+5) ft

the Perimeter =

2(x²+2x-16) +2(x+5)

= 2x²+4x-32+2x+10

= 2x²+6x-22

what is the value of x.

Answers

Answer: x=45

(3x-9)+30+24=180
3x-9+54=180
3x+45=180
-45 -45
3x=135
x=45

Explanation: All interior angles of a triangle add up to 180°. Add all interior angles and set it up equal to 180°. Then solve for x.

Please please help me

Answers

Answer:

The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base.

Step-by-step explanation:

You are going to design a deck or a dock for your cottage. Your deck/dock must be a composite shape made out of 3 shapes - 2 will be "glued” together and 1 will be "cut out” of the other(s). You must use 3 different geometric shapes. Design your deck/dock by including a diagram with
measurements. Make sure your measurements are realistic! You will need material to make your deck/dock so determine the area of your deck/dock so you will know how much material you will need and how much space you will have to use.

Answers

Cool man hehe haha lee when you go

Deliana thinks she needs to solve 5 ÷ 6. Do you agree with her? Explain why or why not.

Answers

Answer:

5 is small 6 is bigger

Step-by-step explanation:

because 6 is bigger and 5 is small than divide

Answer this equation

1 . Y/-7 = -7

Answers

Step-by-step explanation:

Y/-7= -7

Cross multiple

-7× -7 =Y

49 =Y

Answer:

y = 49

Step-by-step explanation:

y ÷ - 7 = - 7

y ÷ - 7 × - 7 = - 7 × - 7

y = 49

After ordering the data set, what is the next step in drawing a box plot that shows the distribution of the amounts spent? 1. Make a dot plot for comparing. 2. Find the five boundary values. 3. Write a title for the box plot. 4. Plot and connect the end points.

Answers

Answer:

2. Find the five boundary values

Step-by-step explanation:

When drawing a dot, the steps are;

i) The data set (the list of numbers to be presented in the dot plot) are arranged in increasing order from left to right, with thee lowest value on the left and the highest value located at the right of the list

ii) The five boundary values are listed as follows;

The Minimum and Maximum Values

1) The minimum value is the lowest number in the list, which is the first number from the left

2) The maximum value is the final number on the right of the list

3) The Median, Q₂

The median number is the number which divides the data arranged in increasing number, into two equal parts

The First Quartile and Third Quartile

The numbers are divided from the median, such that the Lower half is to the left of the Median, and the Upper half is to the right of median

4) The First Quartile, Q₁ = The median of the Lower half

5) The Third Quartile, Q₂ = The median of the Upper half

iii) The box plot is then drawn with the five boundary values found above

a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)​

Answers

Answer:

The area of the label is 176,000 cm²

Step-by-step explanation:

The given parameters are;

The radius of the cylindrical container, r = 14 cm

The height of the cylinder, h = 20 m

The area covered with the label = The curved surface of the cylinder, A

The curved surface area of a cylinder, A = 2 × π × r × h

π = 22/7

∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000

A = 176,000 cm²

∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².

Which equation(s) have -4 and 4 as solutions?
A. x2 = 8
B. x2 + 16 = 0
C. 2x2 = 32
D. -3x2 = -48
E. 6x2 + 56 = -40
F 27 - 5x2 = -53

Answers

C because...
2x^2 = 32 becomes...
2x^2 - 32 = 0 (FACTOR OUT THE 2!)
2(x^2 - 16) = 0 —> now we have a difference of squares
2 (x + 4) (x - 4) = 0
Our two solutions are 4 and -4.

MATH WIZZES, PLEASE HELP ME OUT HERE!! I NEED THIS PROBLEM DONE SOON, BECUASE IT'S DUE IN LIKE 2 MINUTES HELLPPPPPPP
The equations in this system were added to solve for y. What is the value of y?

x + 6 y = 10. -x + 3 y = -15. = 9 y = -5.

Answers

Answer:

y=-5/9

Step-by-step explanation:

it says 9y=-5

divide both sides by 9

y=-5/9

5/9 hope the answer helps

Please answer its fill in the blanks

the words are at the bottom

Answers

1 is f 2 is c 3 is a 4 is h and 5 is b

Answer:

1. Grassland

2. grass

3. Temperate grassland

4. prairies

5. steppe

6. tropical grassland

7. savanna

8. intermountain grassland

9. mixed prairie

10. tallgrass prairie

Step-by-step explanation:

Can please someone help me

Answers

Answer:

1. $40

2. 10 computers

3. 300 miles

Step-by-step explanation:

1. Time between 12:00 and 2:00 is 2 hours, the difference in the money is $10, so the money earned per hour is $5. 5:00 is 3 hours from 2:00, so 25+5*3 is 40, or $40.

2. Time between 1:00 and 3:00 is 2 hours, and the difference in the numbers of computers fixed is 2, so the number of computers fixed per hour is 1. 6:00 is 3 hours from 3:00, so 7+3*1 is 10, or 10 computers.

3. Time between 6:00 and 9:00 is 3 hours and the difference in the distance is 150 miles, so the miles traveled per hour is 50. 12:00 is 3 hours from 9:00, so 150+50*3 is 300, or 300 miles.

Which of the following best describes the relationship between Angle a and angle b in the image below ( Choose all that apply)

Answers

You are correct in selecting "linear pairs" since they form a straight line.

The angles are also adjacent because they're next to each other like that. In fact, "linear pair" means "adjacent and supplementary".

The angles are not complementary because they don't add to 90 degrees. Instead, they add to 180 degrees so that's what makes them supplementary.

The angles are also not vertical angles. They would need to be opposite one another in an X configuration for this to happen. This means vertical angles cannot be adjacent, and vice versa.

2 Answers:  Choice B and Choice C

Angle a and angle b within the image are the linear pairs of angle within the image below.

What is the angle?

It is a direction from which an individual observe something.

How to determine relationship between angles?

From the figure we are able to find that angle a and angle b are the linear pair because these are formed when two lines intersect one another at one point. The angles are said to be linear if they're adjacent to every other after the intersection of the 2 lines. The sum of angles of a linear pair is often adequate to 180 degrees.

Hence the angle a and angle b are linear pairs.

Learn more about linear pairs at https://brainly.com/question/2065148

#SPJ2

find the positive square root of 0.00822649

Answers

Answer:

Step-by-step explanation: Although you did not specify, perhaps your were supposed to find some way to do this without a calculator. First ignore the decimals and think about 822649

900 * 900 = 810000 so the first digit of the square root is a 9

The last two numbers are 49 so the square root ends in a 7

Assume the square root is 9a7 where a is not known and expand

(907 + 10a)^2 = 822649 + other terms in a = 822649

a = 0, and we have found 822649 = 907 ^2

0.00822649 is obtained from 822649 by moving the decimal point 8 places

That tells us the square root is obtained from by moving 4 places

The answer is 0.0907......

Roberto has $20 to buy baseballs for his little league team. Each baseball costs $6. How many baseballs Conan he buy?

Answers

Answer:

3

Step-by-step explanation:

Teresa tiene 12 años , su hermano pere tiene 7 y su padre 44. QUANTOS AÑOS TIENE Q PASAR PARA Q LA SUMA DE LAS EDADES DE TERESA Y SPERE SEAN IGUALES

Answers

Answer:

Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Step-by-step explanation:

Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:

12 + 7 = 19

44 - 19 = 25

44 + 25 = 69

(12 + 25) + (7 + 25) = 37 + 32 = 69

Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.


Assuming the trend that exists in the data set below applies to all students, how long should Trevor study if
he want to get at least a 75% on the test?

Answers

Answer:

He should study for at least 88 minutes

Step-by-step explanation:

The missing parameters are:

[tex]y = 0.36805x + 42.6864[/tex] --- equation of trend

[tex]y \to grade[/tex]

[tex]x \to time[/tex]

Required

x when [tex]y = 75[/tex]

[tex]y = 0.36805x + 42.6864[/tex] becomes

[tex]75 = 0.36805x + 42.6864[/tex]

Collect like terms

[tex]0.36805x = 75 - 42.6864[/tex]

[tex]0.36805x = 32.3136[/tex]

Solve for x

[tex]x = \frac{32.3136}{0.36805}[/tex]

[tex]x = 87.80[/tex]

[tex]x \approx 88[/tex]

What does (-3+ -2+ 5)2 equal to

Answers

-3 + -2 = -5

-5 + 5 = 0

0 x 2 = 0

Hey there!

(-3+ -2 + 5)(2)

(-3 - 2 + 5)(2)

-3 - 2 = -5

(-5 + 5)(2)

-5 + 5 = 0

0(2) = 0

Possible answer #1: 0

(-3 + -2 + 5)^2

(-3 - 2 + 5)^2

-3 - 2 = -5

(-5 + 5)^2

-5 + 5 = 0

0^2 = 0 * 0 = 0

Possible answer #2: 0

Overall answer you’re probably looking for is: 0

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Can you guys help me

Answers

(1,3) if you look at the graph, both inequality’s graphed overlap at (1,3) we only see green in (1,1)

Sympathetic Division function ​

Answers

This initiates the fight or flight response

lmk if this helped :)

Help plz..And No links!! I repeat No links!!

Answers

Answer:

5 more wheelbarrows

Step-by-step explanation:

10-5

Round 25446 to 1 significant figure

Answers

Answer:

30000

Step-by-step explanation:

Question
Solve the inequality b – 27 > 3 and write the solution in interval notation, using improper fractions if necessary.

Answers

Answer:

(30, ∞)

Step-by-step explanation:

b – 27 > 3

Add 27 to both sides

b > 30

In interval notation

(30, ∞)

Answer:

(30,∞ )

Step-by-step explanation:

b> 27+3

b> 30

You dont have to tell me the answers for those, just what x equals, please.
1) (2x - 1)3 = 9 commutative 2) 3(1x) = 9

3) 6x - 1 = 9 4) 6x - 3 = 9 distributive

5) 3*2x - 3*1 = 9 distributive 6) 3(1 - 2x) = 9

What is the value of x? How do you know?

Answers

Answer:

go to photo math

Step-by-step explanation:

Other Questions
Which of the following was an advantage of the North during the Civil War? what flora eat? pliz tell me someone A factor in competence NOT mentioned by Pope and Vasquez(2016) isa) knowledge.b) technical skills.c) experience.d) emotional competence. Which role does a manager plays in handling problems and situations which will lead to organizational happiness and prosperity In reviewing activity for july the controller of mathis inc., collected the following data concerning direct materials: Actual production $103,000 unitsDirect materials purchased (actual) $1,642,800 Standard cost of materials purchased $1,554,000 Standard direct materials costs per unit produced 14 Standard price times actual amount of materials used $1,405,950 Required:Compute the direct materials cost variances. I need help!!!! :)))) What is 39% of 921?Btw good morning to everybody! HELPPPP ILL GIVE BRAINLYY Read the excerpt from Midsummer by Derek Walcott. With the stampeding hiss and scurry of green lemmings, midsummers leaves race to extinction like the roar of a Brixton riot tunneled by water hoses; The poems allusion to the 1981 Brixton riot illustrates what the streets and buildings of Brixton looked like. suggests that many different historical riots will be mentioned. illustrates the strong feelings associated with the poems subject matter. makes the reader feel confused about the historical reference. The temperature in Chicago, Illinois dropped to -9 F during the night.How many degrees must the temperature increase to reach 0 F? a square and a triangle can be intersect in (a) Calculate the pH of a buffer that is 0.12 M in lactic acid and 0.11 M in sodium lactate. (b) Calculate the pH of a buffer formed by mixing 85 mL of 0.13 M lactic acid with 95 mL of 0.15 M sodium lactate. What "litmus test" does each political party apply to any justices named to the federal court system? Find the value of x using the geometric mean theorems.All radical answers should be entered as a decimal rounded to the nearest tenth. 1. What is one disadvantage to analyses of police record information, such as the Uniform Crime Reports (UCR)?A. Many crimes go unreported, often due to victims' fear, shame, or distrust of the police.B. A small number of local police departments contribute to the compilation of data.C. Only a small group of professional law enforcement officers have access to the information.D. The information is inconsistent from year to year.2. In 1955, Rosa Parks was arrested for refusing to give up her seat to a white man in Montgomery, Alabama, in defiance of segregation laws.What type of deviance would her action be considered?A. social deviationB. consensus crimeC. social diversionD. conflict crime Which function has an inverse that is also a function?A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}C. {(-4,5), (-2, 9), (1, 8), (4, 8), (11,4)}D. {(-4, 4), (-2, -1), (1, 0). (4.1), (11, 1)} Iready Which of the following accurately compares 15 - v105 and 5? PLEASE HELP ME what form of energy does a glue gun produce when turned on? What is the difference between myths and legends Please answer the question ASAP PLZZZZ!!