At one college, GPA's are normally distributed with a mean of 2.7 and a standard deviation of 0.5. What percentage of students at the college have a GPA between 2.2 and 3.2?

Answers

Answer 1

Final answer:

About 68.27% of students at the college have a GPA between 2.2 and 3.2 because these values correspond to z-scores of -1 and +1, respectively, in a normal distribution.

Explanation:

To find the percentage of students at the college who have a GPA between 2.2 and 3.2, we will use the properties of the normal distribution. The mean GPA is 2.7 and the standard deviation is 0.5.

First, we calculate the z-scores for the GPAs of 2.2 and 3.2:

z-score for 2.2 = (2.2 - 2.7) / 0.5 = -1

z-score for 3.2 = (3.2 - 2.7) / 0.5 = +1

The z-score represents the number of standard deviations a data point is from the mean. In a standard normal distribution, the percentage of data between z-scores of -1 and +1 is approximately 68.27%.

Therefore, about 68.27% of the students at the college have a GPA between 2.2 and 3.2.

Related Questions

Mr.Richards' class is holding a canned food drive for charity. Juliet collected 10 more cans than Rosana. Santiago collected twice as many cans as juliet. If they collected 130 cans altogether, how many cans did juliet collect?

Answers

she obtained 30 cans

(8x+1)+(4x+11)=180°
solve for x

Answers

You would combine like terms, so it would become 12x +12=180 Then you would subtract 12 from both sides so that the x is on one side and the just plain numbers are on the other side. So your equation now is 12x=168 You then at this point would divide both sides by 12 to get the x alone. Your final answer then would be x=14

Hope this helped Let me know if you have any questions or if you need anymore help. I am always here if you need someone

a tin can collecting money on a store counter for the holiday season contains 15.80 dollars in quarters and dimes. if there are a total of 74 coins how many of each coins are in the tin

Answers

Final answer:

To find out how many quarters and dimes are in the tin, we set up a system of equations based on the total value and total number of coins. Solving these equations reveals that the tin contains 56 quarters and 18 dimes.

Explanation:

The student is asking for help with a system of equations problem that involves quarters and dimes that add up to $15.80, with a total of 74 coins in the tin. To solve this, we set up two equations: one for the total amount of money (1) and the other for the total number of coins (2).

Let's let Q be the number of quarters and D be the number of dimes. Therefore:

0.25Q + 0.10D = $15.80 (because quarters are $0.25 each and dimes are $0.10 each)Q + D = 74 (total number of coins)

From equation (2), we can express D in terms of Q as D = 74 - Q. Substituting this into equation (1) gives us:

0.25Q + 0.10(74 - Q) = $15.80

This simplifies to:

0.25Q + 7.4 - 0.10Q = $15.80

0.15Q = $15.80 - 7.4

0.15Q = $8.40

Dividing both sides by 0.15 gives:

Q = $8.40 / 0.15

Q = 56 quarters

Substitute Q (56) back into equation (2) to find D:

D = 74 - 56

D = 18 dimes

Therefore, there are 56 quarters and 18 dimes in the tin.

Solve the equation and find the value of the variable

Answers

The sum of the angles should be 180, so x+ (x+10) + (x+5) = 180. This simplifies to 3x + 15 = 180, so 3x = 165, so x=55.

What is the point-slope form of the line with slope -1/8 that passes through the point (-2, 1)?

Answers

y-1=-1/8(x+2) You just plug your points into the formula

(y-1) = (-1/8)(x+2)
or, y-1= - x/8 - 1/4
or, y= -x/8+1-1/4

so, y = -x/8 + 3/4

Which graph represents the solution set of the system of inequalities?

Answers

the answer to this is D

All that you have to do is graph the linear equations. So, the answer is D.

Using the information in the table, how many centimeters are in 8 kilometers?

Answers

There are 800,000 centimeters are in 8 kilometers.. Hope this helps!!

Convert the first number to scientific notation, then add, show all work add~ 18,000,000+3.4x10 to the 7th power

Answers

34000001.8 is the answer to this problem!
1.8000000+34000000!

I don’t get this at alllllll

Answers

Hey there!

We have to multiply, the "a" becomes a "negative a" ; solve this fraction to understand this step

Like: (multiplication) -a = 1/8

Let's multiply by a negative one on each of your sides

a = -(1/8)
* 1. * 1
Solve this and that gives us our answer⬆️

We have "two solutions " in this problem, which 1/8 or -1/8

Answer: 1/8 or -1/8 (option A)

Good luck on your assignment and enjoy your day

~MeIsKaitlyn:)

A line goes through the points (8,9) and (-2,4).
A) what is the slope of he line? Show your work
B) write the equation of the line in point- slope form. Show your work.
C) write the equation of the line in slope-intercept form. Show your work.
A,B,C are all parts of the question that have to be answered.

Answers

you're answer should be (B) hopes it helps.

Part A:

Slope of line is given by vertical distance ÷ horizontal distance

Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10

slope of the line = -5 ÷ -10 = 0.5
---------------------------------------------------------------------------------------------------------------

Part B

The point-slope form is given by
(y - y₁) = m (x - x₁)

We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have

(y - 9) = 0.5 (x - 8)
----------------------------------------------------------------------------------------------------------------

Part C

The slope-intercept form is given by the equation
y = mx + c

Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B

y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form

Write an expression that shows how to multiply 7 * 256 using expanded form and distributive property

Answers

The expression should look like this:

7 (200 + 50 + 6)= 1, 792

This uses distributed property and expanded form. Giving you have to distribute the 7 and it gives the expanded form of 256.

I hope this helps:) I know this is correct.

solve for R

3 r + 4
---------- = 5
2

r = ?

Answers

To find r, first write out the equation:
[tex] \frac{3r+4}{2} =5[/tex]
Next, multiply both sides by 2:
[tex] 3r+4=10[/tex]
Now, subtract both sides by 4:
[tex] 3r = 6[/tex]
Divide both sides by 3:
[tex]r=2[/tex]

The answer to this problem is r = 2. Hope this helps and have a phenomenal day!

Multiple 2 on both sides- 3r+4=10
Subtract 4 on both, left with 3r=6.
6 divide 3=2
R=2

A theater has 500 seats. Three fourths of the seats are filled. How many seats are filled? Help pls

Answers

Simple buddy! 3/4 of 500 = 375

375, divide 500 by 4 (= 125) then multiply that by 3 to get 3/4 of 500

x(x2-x+3) monomial times polynomial

Answers

Multiply whats outside the bracket (which is x) by everything inside the brackets, so:
x(x² - x + 3) = x³ - x² + 3x

You were overcharged $4.52 on your cable bill 3 months in a row. The cable company says that it will add - $4.52 to your next bill for each month you were overcharged. On the next bill, you see an adjustment of - $13.28. Is this amount correct?

PLEASE HELP AND SHOW WORK

Answers

No bc already 3×4.52 =13.56 so no

Can someone please help me out with this question, I will appreciate it

Answers

a experiment because he has a question to test and he can use observations and everything like that to test a question

It's an observational study. Hope this helps :D

3x - 4y =7 solve for y

This is a literal equation in which you need to isolate the variable 'y'

Answers

3x - 4y = 7...subtract 3x from both sides
-4y = -3x + 7...divide both sides by -4
y = 3/4x - 7/4 <==

The solution of the given equation 3x - 4y = 7 for the value of y in terms of variable x is given by y = (3x - 7) / 4.

To solve for 'y' in the equation 3x - 4y = 7, we need to isolate 'y' on one side of the equation. Here's how you can do it step by step:

Move the term containing 'y' to the other side of the equation by adding 4y to both sides:

3x - 4y + 4y = 7 + 4y

Simplify the equation:

3x = 7 + 4y

Now, we want to isolate 'y' on one side. Start by moving the constant term (7) to the other side by subtracting 7 from both sides:

3x - 7 = 7 + 4y - 7

Simplify the equation:

3x - 7 = 4y

Finally, to get 'y' alone, divide both sides by 4:

(3x - 7) / 4 = y

Therefore, the solution for 'y' in terms of variable 'x' is y = (3x - 7) / 4.

learn more about variable here

brainly.com/question/29583350

#SPJ6

What is f(-3) if f(x)=|2x-1|-5

So far I have:
f(-3)=|2(-3)-1|-5
f(-3)=|-6-1|-5
f(-3)=|-7|-5

Answers

Good job!

I'll continue where you left off.

f(-3) = |-7| - 5

f(-3) = 7 - 5

f(-3) = 2

I need help on this. Can someone please explain it to me? I’ve been struggling on it ! Thanks much appreciated

Answers

Hey there! :) How are you? Explanation: So basically the cook has 3 1/2 cups of flour which is 7/2 as a improper fraction. The recipe calls for 3 2/3 cups of flour which is 11/3. So next we need to find a common denominator. 2 and 3 both have 6 in common, so7/2=21/6 and 11/3=22/6. The final step is 22/6-21/6= 1/6.

Answer: The cook DOES NOT have enough flour. He needs 1/6 cup of flour.

I hoped I helped you. Keep smiling! :D

PLZ HELP A LOT OF POINTS

Answers

A) Yes, 6 * .75 = 4.5kilowatts if greater than 89 percent then it is worth the money
B)yes, refer to A
C)yes, refer to A
D)no, refer to A

Answer:

A) Yes, 6 * .75 = 4.5kilowatts if greater than 89 percent then it is worth the money

B)yes, refer to A

C)yes, refer to A

D)no, refer to A

yes i copied so sry i ned the points

Which ordered pairs in the form (x, y) are solutions to the equation

7x−5y=28 ?

Select each correct answer.

(7, 9)
(−1, −7)
(4, 10)
(−6, −14)

Answers

Okay. So to solve this problem, we have to try out each of the values to see what we get. x is the number up front and y is the number that is second in line. Let's try out the first. 7 * 7 is 49 and 5 * 9 is 45. 49 - 45 is 4. 4 < 28. Therefore, A is out. 7 * -1 is -7 and 5 * -7 is -35. -7 - (-35) is 28. 28 = 28. Score! But wait. 7 * 4 is 28 and 5 * 10 us 50. 28 - 50 is -22. C is out. 7 * -6 is -42 and 5 * -14 is -70. -42 - (-70) is also 28. 28 = 28. You have two answers. They are B and D.

the answers are (-1,-7) and (-6,-14) HOPE IT HELPS.

How does identifying the part in the whole help you write the percent proportion

Answers

"part/whole is equal to percent proportion over 100%"

Three ways to come up with 15,638 only using hundreds, tens and ones

Answers

1.) 156 * 100 + 38 = 15638

2.) 312 * 50 + 38 = 15638

3.) 78 * 200 + 38 = 15638

Help I don’t understand number 18 I wrote the equation but I need help solving it the equation is 13 n - 1.50= 35.50

Answers

Hi there!

It appears you've written the equation wrong.

It should be: 13 + 1.5n ≤ 35.5

(13 - 13) + 1.5n ≤ (35.5 - 13)

1.5n ≤ 22.5

1.5n / 1.5 ≤ 22.5 / 1.5

n ≤ 15 rides

The most amount of rides you can take is 15.

Hope this helps.

The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.

Answers

3025 x 0.49 = 1482.25

The weight of the people is 1482.25

hope this helps

Final answer:

The subject of this question is Physics.

Explanation:

In this question, we are asked to determine the subject being referred to. Based on the information provided, the subject of this question is Physics.

Learn more about Physics here:

https://brainly.com/question/32123193

#SPJ12

how do you simplify -7 -|7|

Answers

The answer is: " - 49 " .
_____________________________
The problem: "What is "-7" multiplied by "the absolute value of (7)"?

Note: The absolute values of (7) = 7 ; that is the absolute values of (positive 7) is: "(positive 7)" .
__________________________
So, we are left with: What is: "-7 " multiplied by "+ 7" ;
{i.e. , " (-7)*(7) = ? " } ;
_________________________
The answer is: " -49 " .
_________________________

-7-7=
The answer is 49

PLEASE HELP I WILL GIVE 99 POINTS
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 24 + 44?
4(6 + 11)
2(12 + 22)
6(4 + 11)
2(12 + 6)

Answers

I would say it is 4(6+11). Hope this helped!

24+44=72
2(12+22)=2x12+2x22=24+44=72

If Jack gets a 10% commission on every dollar of sales. In one month he makes 2500. What were his sales in dollars that month?

Answers

Jack earned a total of $250 in sales for the month.

Solve the equation for the indicated variable, u: y = 3/5u + 5

Answers

you would have to isolate the u variable:
y = 3/5u + 5
-5 -5
y-5=3/5u
__ ____
3/5 3/5

u= y-5
__
3/5

a car can be assembled on an assembly line in 6 hours. assume that the cars are assembled at a constant rate.how many cars, y, can be assembled in t hours?

Answers

if t is the total time in hours, 1 car takes 6hrs to assemble, and the number of cars assembled in t hours is y, then
y=t/6(remove any decimal if there )
All the best

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