the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.

The Histogram Shows The GPAs Of The Students In Georges Class. Estimate The Mean Of The Data Set Displayed

Answers

Answer 1

Using the histogram, the mean of the data-set is estimated to be of 31.

The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.

In this problem, the intervals and relative frequencies are:

The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].

Hence, the mean is:

[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]

For more on mean of histograms, you can check https://brainly.com/question/24651197


Related Questions

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

Answer:

1) (3 7 3 5 g)

2) 7+x+3⋅y

3) 2/9 x/5

-3 ( 7 + 5 g) = -21 - 15 g = -15 g - 21(x + 7) + 3y = x + 3y + 7[tex] \frac{2}{9} - \frac{1}{5} x \\ = > \frac{10-9x}{45} \\ = > \frac{-9x+10}{45} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Make x the subject of the formula,
y (x-4) squared +6

Answers

Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

Assuming the equation is:  y= (x-4)^2 + 6

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

Write the integer from least to greatest. 4, 12, -12, -11

Answers

Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)

Answers

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )

Answers

Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.

. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.

Answers

Answer:

  a. 3942 kWh

  b. $473.04

  c. 1314 kWh

  d. $157.68

Step-by-step explanation:

a.

There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...

  (0.45 kW)(24 h) = 10.8 kWh . . . . energy per day

Then in a 365-day year, the energy used is

  (365 da/yr)(10.8 kWh/da) = 3942 kWh/yr

__

b.

At the rate of $0.12/kWh, the cost of running the pump is ...

  ($0.12/kWh)(3942 kWh/yr) = $473.04/yr

__

c.

Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):

  1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump

__

d.

The savings will be 1/3 of the cost of running the pump full time:

  1/3($473.04/yr) = $157.68/yr

Pls pls I just need the equation to this thank you so much!

Answers

Answer:

5.00+5.5+5.10+5.15+5.20+5.25= x

x is whatever the cost is.

if you want x, it is.... 31.2

or

y=5.00+5.5+5.10+5.15+5.20+5.25

If you want the equation in linear form (as in y= _x+b), then it is:

y=0.001x

sorry if im wrong! :D

Step-by-step explanation:

Just ask!

Hope this helps... :)

there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?​

Answers

Answer:

13 in12

Step-by-step explanation:

What type of number is 12/3?
Choose all answers that apply:

A) Whole number

B) Integer

C) Rational

D) Irrational

Pls help it’s for a test

Answers

Answer: All except Irrational

Step-by-step explanation:

12/3 = 4, 4 is an integer, a whole number, and it is rational.

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.​

Answers

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III

help me please it’s urgent how do i solve this I was absent

Answers

y would equal 0.6 i believe

Hi!

I can help you, no worries!

Your answer is y = -4/5x - 3

To solve this is much easier than you think. To "solve for y" we just have to get y on one side of the equal sign all by itself. We can see that it's "1 + y" on the left instead of just the y.

To get y by itself, we just subtract "1" from both sides.

1 + y = -4/5x - 2

-1                     -1

     y = -4/5x - 3

If you don't know why we have to subtract from both sides, think of it like this (it's how I like to think of it).

Each side of the equal sign is a twin. They are equal to eachother. If you change something about one twin, such as changing their hair color (or adding a number to one side of the equal sign), you have to do it to both in order for them to be the same. Right?

Hope this helps! Have a great day! :D

Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)​
(nvm, I figured it out. sorry lol)

Answers

Answer: The answer is C.

A sandwich shop has a catering program. There is a flat fee of $30.00 plus $5 per boxed lunch (sandwich, cookie, and bottled water) ordered. If a total order is $150 , how many boxed lunches were ordered?

24?
5?
6?
or 36?

Answers

Solve using this equation: 30+5x=150. And solve as follows: -30 on both sides to get 5x=120. Divide by 5 on both sides to get x=24. Meaning 24 boxes were ordered. You can always double check work by substituting your answer for the variable in the initial equation. 30+5(24)=150. 30+120=150. 150=150 so you know it works.

help me pliz ill give u full stars i need help quick fast pliz

Answers

Answer:

[-5, 5]

Step-by-step explanation:

the formula to find the curved surface area of the cone

Answers

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

Find the output for f(x) = -3 |2x - 9| + 4.

When x = -5

SHOW EVERY STEP!

Answers

Hey there!

f(x) = -3|2x - 9| + 4

y = -3|2x - 9| + 4

y = -3|2(-5) - 9| + 4

y = -3|-10 - 9| + 4

y = -3|19| + 4

y = -57 + 4

y = -53

Therefore, your answer should be: f(x) = -53

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

ways to write 25 percent of n,

Answers

Answer:

  0.25n = 25/100n = n/4

Step-by-step explanation:

25% of n = ...

  0.25n = 25/100n = n/4

and any of an infinite number of equivalent expressions.

Determine whether each quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:

4. Parallelogram

5. Parallelogram

6. Parallelogram

Step-by-step explanation:

4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.

Hoped this helped.

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

Answers

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh

the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school

Answers

Answer:

1 1/12

Step-by-step explanation:

Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)

Find common denominator, which is 24

6 times 4 equals 24; 11 times 4 equals 44

4 times 6 equals 24; 3 times 6 equals 18

44/24 - 18/24 (subtract only top numbers (44-18) = 26

26/24 simplified is 13/12 or 1  1/12

Hope it's right :)

find the perimeter of a regular pentagon with each side measuring 6cm.

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of a Pentagon=5L

P=5×6cm=30cm

I will give up to 40 points if you help answer 5 questions

Answers

Answer:

SSSthe answer is ASAS1, 2, 3, 4, and 5using alternate interior angles theorem on angles A and C, verticle angles theorem on angle O, and the Parallelogram Diagonals Theorem Converse  you can prove triangles ADO and BOC are similar. Then using  CPCTC "Corresponding parts of congruent triangles are congruent" you can prove that line segment AO is congruent (equal) to line segment CO

Step-by-step explanation:

if my answer helps plz give me brainliest :)

Answer:

I hope this helps. I'm sorry in advance if it isn't.

Step-by-step explanation:

1) SSS

2) The first bullet point

3) SAS

4) They are congruent by SAS, ASA

5) Segment AO is congruent to segment CO because:

The diagonals AC and BD both have O as the intersection point. AC = BD since the geometric means of the legs is equal. Thus AO is congruent to CO

Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!

Answers

Answer:

y=2(x+5)^2-4.

Step-by-step explanation:

By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!

Jennie has $200 and spends $30. What percent did Jennie spend?

Answers

Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

30/2=15

meaning that 30$ is 15% of 200$

she spent 15% because 30 is 15% of 200

200x15%= 30

What sentence represents this equation? 4 1/3=11−x

Answers

Answer:

4 1/3 is the same as 11 decreased by a number.

Step-by-step explanation:

Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?

Answers

Answer:

  2 13/14 feet

Step-by-step explanation:

The remaining length is the difference between the starting length and the amount cut off:

  5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14

  = 2 13/14 . . . feet remaining

_____

Additional comment

Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.

  [tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

Answer:

3 and five fifthteenths or  3 and 4/9

Step-by-step explanation:

i think so.........

Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?

Answers

Answer: Thad-1.471

Amy-1.500

SO AMY SHOT WITH A HIGHER PERCENTAGE

Step-by-step explanation: brainliest would be appreciated

A 12-ounce bottle of shampoo lasts Enrique 16 weeks . How long would you expect an 18-ounce bottle of the same brand to let him

Answers

Answer:

12 lasts 16

18 lasts x

x=16• 18/12

x= 24

Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:

twenty one thirty fifths

twenty one fifths

four fifths

ten fifths

Answers

Answer:

1 a is your answer

Step-by-step explanation:

mark brainlest pls and i hope this helps

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