Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.13 and 2.99

Answers

Answer 1

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.


Related Questions

A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches

Answers

Answer: D 120 square inches

A pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. Which
multipack is the best value for money?
B UTI-
Write your answer
COOLE SETTINGS

Answers

Answer:

get some more help I don't understand

Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must consist of 5 characters, of which 3 must be letters and 2 must be digits. The first character of the password must be a letter. Also, repetition of the same letter in the password is not permitted but repetition of digits is permitted. How many possible ways can Alfred create the password?
So I know the answer is 9,360,000 but I got 18,720,000. This is because I thought the partition is 4! / (2! * 1! * 1!) but apparently the partition is 4! / (2! * 2!) and this confuses me. I thought that since the letters can't be repeated, we'd put one unique letter in one group, the other unique letter in the other group, and the two repeated digits in the last group. Can somebody explain this to me?

Answers

Answer:

Alfred can create the password in 9,360,000 possible ways

Step-by-step explanation:

Given the data in the questions;

Password of five characters must contain; three letters and 2 digits

[][][][][]

Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and  repetition of the same letter in the password is not allowed while repetition of digits is allowed.

Now,

we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }

next four will be filed with two letters and two digits

so two boxes from the four can be chosen in the following ways;

⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6  { ways }

now for each choice, we can fill the chosen two boxes with letters in;

⇒ 25 × 24 = 600 { ways}

and the next two by digits; ( 0, 1, 2, ..... 9)

⇒ 10 × 10 = 100 { ways }

So in total, the possible number of ways he can create a password is;

⇒ 26 × 6 × 600 × 100

= 9,360,000 possible ways

Therefore, Alfred can create the password in 9,360,000 possible ways

What are the measures of ∠1 and ∠2? PLEASE ANSWER
m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°

Answers

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

  angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

__

Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

  104.5° = angle 1 + 37.1°

  angle 1 = 104.5° -37.1° = 67.4°

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°

Find the distance between the points (7,8) and (7,3).

Answers

the distance is 5 points because it would take 5 points to get 7,8 from 7,3 !

Answer:

(7,5)

Step-by-step explanation

8 - 3 = 5 so (7,5)

Pls hurry I need an instant answer ASAP! Thank you

Answers

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Find the value of 5⁰ X 7⁰ X 3⁰

plz help asap​

Answers

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

y =|x −3|+|x +2|−|x −5|, if x >5

Answers

Use photomath it’s faster and you get correct Answers!<3 have a good day

Answer: maybe -1

Step-by-step explanation:

Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D

Answers

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

please help it due today ​

Answers

Answer:

I think that your answer would be D .

a rectangular prism has a lenth of 2/3,a width of 1/2 and a height of 1/3 find the volume ​

Answers

Answer:

2/18 = 1/9

Step-by-step explanation:

2/3 x 1/3 = 2/9

2/9 x 1/2 = 1/9

giving brainliest!! *easy*

Answers

Answer:

60.458

Step-by-step explanation:

it says the answer lol

60.458 cm


Reasoning it says so on the pic

MovieMania, an online movie rental website charges a one-time fee of $6.85 and $2.99 Per movie rental. Let m represent the number of movies you watch and let C represent the total cost to watch the movies. write an equation that relates the total cost to the numbers of movies you watch from MovieMania

Answers

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

100 points who ever get this right!!

Answers

Answer:

3. A = (0,-3)

    B = (4,-2)

   C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

   C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Answer:

3)A = (0,-3)

B = (4,-2)

C = (-1,1)

4)A = (0,-6)

B = (4,-5)

C = (-1,-2)

Given f(x) = V(3 x – 12) +2, what is the range in set notation?

Answers

Answer:

Step-by-step explanation:

[2,∞)

Answer:

it's 2

Step-by-step explanation:

Find the unknown value: x + 9 = 16 * 6 5 7

Answers

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Is 1.5399818181... a rational number?

Answers

Answer:

yes, cuz the rational numbers is said to be 0 or real numbers.

Need help question #3. Show steps please

Answers

Answer:

B.

Step-by-step explanation:

We are given:

[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]

Distribute. Recall exponent properties;

[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]

Simplify:

[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

Hello I need help plese

Answers

Answer:

SA of the sphere is 1333.17 and SA of the circle is 333.29

Step-by-step explanation:


Solve the quadratic equation by using either a numeric or a graphic approach.

Answers

Answer:

C

Step-by-step explanation:

x²-14x-49=0

x²-14x+49=49+49

(x-7)²=98

(x-7)²=49×2

x-7=±7√2

x=7+7√2=7(1+√2)≈7(1+1.414)≈7(2.414)≈16.898≈16.9

or

x=7-7√2=7(1-√2)≈7(1-1.414)≈-7×0.414≈-2.898≈2.9

What is the Area of this quadrilateral

Answers

C is the answer i just did this answer and get it correct

Find f(-3) when f(x) = -x + 1​

Answers

Answer:

4

Step-by-step explanation:

so when it says f(x)=-x+1

the x values are constant so what value is in f(x) the value of x goes right into -x+1

f(-3)=-x+1

f(-3)=-(-3)+1

f(-3)=4

Answer:

yea the anwser is 4

(>﹏<)

what is the answer to (8+10) x1/2 =

Answers

Answer:

9

Step-by-step explanation:

18 x 1/2

18/2

9

Answer: 9

Step-by-step explanation:

Parenthesis first, so 8+10 =18 .

18 multiplied by 1/2 = 9

Use the following coordinate plane to write the ordered pair for each point.

Answers

Step-by-step explanation: When finding the coordinates

of a given point, be very careful with your signs.

On the x-axis, left means negative and right means positive and

on the y-axis, down means negative, and up means positive.

So to find the coordinates for point A, we start at the origin,

which is the point (0, 0), and we move 2 units to the left and 4 units up.

So that's the point (-2, 4).

Remember to go left or right first, then up or down.

So for point B, we go 0 units to the left or right and 3 units down.

So that's the point (0, -3).

For point C, we move 4 units to th

right and 4 units down so tha's (4, -4).

Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3


B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2

Answers

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

How to find probability using binomial distribution?

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

                             

To know more about binomial distribution click on,

https://brainly.com/question/14565246

#SPJ2


1. Find the degree measure and the length of arc AB:

120°
20 in.

Answers

Answer:

Degree measure of arc AB = 120°

Length of arc = 41.9 in.

Step-by-step explanation:

✔️Measure of Central angle is the same as Measure of the intercepted arc

Therefore,

Degree measure of arc AB = 120°

✔️Length of arc = [tex] \frac{\theta}{360} * 2 \pi r [/tex]

[tex] \theta = 120 [/tex]

r = 20 in.

Length of arc = [tex] \frac{120}{360} * 2 \pi * 20 [/tex]

= 41.887902

Length of arc = 41.9 in. (Nearest tenth)

if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :(

Answers

Answer:

8.3

Step-by-step explanation:

Given,

Circumference of the circle = 52 cm

Therefore ,

By the problem,

[tex] = > 2\pi r = 52[/tex]

[tex] = > 2 \times 3.14 \times r = 52[/tex]

[tex] = > r = \frac{52}{3.14 \times 2} [/tex]

=> r = 8.2802547771

Rounded to nearest tenth,

=> r = 8.3 (Ans)


Please help me with my homework​

Answers

Answer:

0.8

Step-by-step explanation:

0.4*2=0.8

hope this helps.

0.4x2=0.8


You would multiply 0.4 and 2 which gets you 0.8.

Help me 5th grade math sorry if I'm bothering ppl :(

Answers

Answer:

It's C. Ik it bc I'm in 7th and I learned bout it and yw

Step-by-step explanation:

Answer:

C: 3 times the diffrence of 62 and 42

*im in 9th IM NOT SURE THO LOL*

Step-by-step explanation:

If the measure of angle 2 is 155 degrees, what is the measure of angle?

Answers

1: 180-155=25
2:155
3:25, same as 1
4:155, same as 2
5:25, same as 3 and 1
6:155
7:25
8:155
Angles 2,4,6 and 8 are the same.
We know that angle 2 is 155•
180• -155•=25•
That means that angles 1,3,5 and 7, all bring the same, are equal to 25•.
You answer is 25•
Other Questions
Is it A, B, C, or D? Secret garden choice board pls i will give brainiest.-Write a future letter from Mary Lennox to Colin, or vice versa . Allow Mary or Colin to explain his/ her experience as it happened in the book and then tell that else happens to her/ him in life after the story.2.-Epilogue Article-write a news article about Mary or Colin from a date 10, 20 or 30 years after the end of the story. Explain what has happened to the main character. What is adult Mary or Colin like. What has happened to her/ him and what are her/ his interests?3.-Wordsmith- For each chapter, write a 6 word summary. Choose your words carefully so they have maximum impact.4.-Conversationalist Write a series of letters, emails or texts between Mary and Colin. Include details from the beginning, middle and end of the story. Write from the characters point of view and use words that he or she might use.5.-Artist - Design a new book cover. Consider an important scene from the novel. Imagine how you visualize it and create this scene as the new book cover. Include specific details, the title and author. Write a summary to include on the back cover.6.-Social Media Butterfly Create a profile of a character in the book. Use to create your FakeBook profile. Include specific examples relating to her/ his life and character traits, and add some friends and stories to the page.Fakebook (classtools.net)7.-Actor/ Actress Write and perform a monologue as if you are one of the main characters. Use specific details from the novel. Record your presentation of the monologue and upload it.Costumes, props and accents highly encouraged!8.-Re- write the climax- or ending of the story from another characters point of view. What details would be different? How would this characters traits affect the perspective of the events?9.-Personify an object- from The Secret Garden and have it tell the story from its point of view. What secret information would this object know? Write a summary including the main events of the story.you only have to do three Is enzyme substrate complex concentration the product of enzyme concentration and substrate concentration? An example of a recurring or repeating idea in the text is ... A. If you break your goals down into little steps, you can get to the top of your own Everest. B. On Mount Washington, as with all of his climbing adventures, Jordan was accompanied by his father. C. Jordan, accompanied by his dad and stepmom, became the youngest person at age 10 to scale the 19,341-foot African peak, Kilimanjaro. D. Peak 7, Mount Everest, followed on May 2, 2010. help me please ?????????????????/ Consider any tasks performed in real life, for example, driving a taxi. The task you pick involves many functions. Driving a taxi involves picking up customers, and quickly and safely transporting them to their destination. Go through the components of the AI cycle to automate the problem you choose. List the useful precepts available. Describe how you will represent your knowledge. Based on that, describe how you will use reasoning to make and execute a plan expected to achieve a goal or obtain maximum utility. (this is for artificial intelligence, but they did not have that option) can someone help me plsss On her first day of college, Ria decided to specialize in two subjects: philosophy and mathematics. Students in both fields were intimidating; they acted like they were already mathematicians and philosophers, even though they were just freshmen. However, most of the students dropped out over the years while Ria studied hard, graduated with honors, and become a well-known scholar in the philosophy of mathematics Which statement is most clearly a theme in this story?A. Mathematics is a universal language. B. Philosophy is the best career path. C. An identity must be earned, not chosen.D. People should be true to their dreams. CAN AYONE PLEASE HELP ME WITH MY HOMEWORK ILL MARK BAINLYIST This is the full question if you can please solve this its really important.A machine cuts three circles of the same size from a rectangular sheet ofmetal as shown. What will happen? (Newton's 1st Law Egg Drop) Of all the students enrolled in the school of arts who responded, approximately what proportion responded that they play video games? Select four of the following that would increase the magnetic field of an electromagnet Which quotation from the answer choices below demonstrates the use of commas with a nonessential element? a. Each time they caught a glimpse of an animal, Jan's mom would lower her voice while they watched for the animal to come into view. b. Then, just ahead, a deer and her baby, called a fawn, cautiously stepped right onto the trail in front of Jan and her mom. c. While the mother deer stopped and stated at Jan and her mom, she also was making sure her baby was safe. d. "Stay back here, Jan," she said quietly. Which values are solutions to the inequality below?Check all that apply. Can anyone help me with these questions I need it to pass please help me please will give brainliest there is an example Part 1: Identify key features and graph a parabola from standard form.Answer the following questions to determine the key features of the parabola based on theequation shown, and then graph it.12(x + 3) = (y - 2)^2a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation.(1 point)b) What is the vertex of the parabola? (1 point)c) What is the focus of the parabola? (2 points)d) What is the directrix of the parabola? (2 points)e) Sketch a graph of the parabola and label the vertex, focus, directrix, and axis of symmetry. (4 point 2 pointsThe arrow next to the fuel gauge symbol on the dash tellsyou which side of the car the fuel filler is on.O TrueFalse question, the highlighted part, and passage are in the picture, AND ANSWER TODAYand no links... they could have firewall breakers and/or viruses (two similar things but they do different stuff)(the highlighted part looks bolded in the photo but if you somehow cant tell which one it is, its the part where it says "Soaring fire that sways and sings")A) hyperboleB) personificationC) simileD) metaphor Entity001 And Project