HELPPP

MA.7.DP.1.2
A group of students in the book club are debating whether high school juniors or seniors
spend more time on homework. A random sampling of juniors and seniors at the local high
school were surveyed about the average amount of time they spent per night on homework.
The results are listed in the table below.
Average Amount of Time on Homework Per Night (in minutes)
Juniors 125 90 95
80 100 100 120- 85 95 120 95 85
Seniors 135 70 65 100 35 175 80 80 90 65 120 60
Part A. Calculate and compare the measures of center for the data sets.
Part B. Calculate and compare the variability in each distribution.
Part C. Does the data support juniors or seniors spending more time on homework?
Explain your reasoning.

Answers

Answer 1

Mean (Juniors) = Sum / number of data points = 1085 / 12 ≈ 90.42

Median (Juniors) = (95 + 95) / 2 = 95

Mean (Seniors) = Sum / number of data points = 1095 / 12 ≈ 91.25

Median (Seniors) = (80 + 80) / 2 = 80

How to solve for the median of center

Juniors: 125, 90, 95, 80, 100, 100, 120, 85, 95, 120, 95, 85

First, sort the data: 80, 85, 85, 90, 95, 95, 95, 100, 100, 120, 120, 125

Sum = 1085

Mean (Juniors) = Sum / number of data points = 1085 / 12 ≈ 90.42

Median (Juniors) = (95 + 95) / 2 = 95

Seniors: 135, 70, 65, 100, 35, 175, 80, 80, 90, 65, 120, 60

First, sort the data: 35, 65, 65, 70, 80, 80, 90, 100, 120, 120, 135, 175

Sum = 1095

Mean (Seniors) = Sum / number of data points = 1095 / 12 ≈ 91.25

Median (Seniors) = (80 + 80) / 2 = 80

Variability

Juniors:

Range = max - min = 125 - 80 = 45

Seniors:

Range = max - min = 175 - 35 = 140

C. Based on the mean and median, it appears that seniors spend slightly more time on homework on average (mean ≈ 91.25) compared to juniors (mean ≈ 90.42).

However, the median time spent for seniors (80 minutes) is less than that of juniors (95 minutes), indicating that the data for seniors might be skewed by some outliers.

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Related Questions

Select the correct answer. What is the solution to the equation? 3(x + 9)^3/4 = 24​

Answers

Answer:

C~7

Step-by-step explanation:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

[tex]\rm 3(x + 9)^{3/4} = 24[/tex]

After solving:

[tex]\rm (x + 9)^{3/4} = 8[/tex]

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

Learn more about the integer exponent here:

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Find the length of BC.

Answers

Step-by-step explanation:

sin 60 = perpendicular / hypotenuse

sin 60 = BC / AB

sin 60 =. BC / 10

√3 / 2 = BC/ 10

BC = 5√3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Trains Two trains, Train A and Train B, weigh a total of 192 tons. Train A is heavier than Train B. The
difference of their weights is 120 tons. What is the weight of each train?​

Answers

Hi there!

So we know that the two train together is a total of 192 tons and the difference of their weights is 120 tons...

Ok let think...

When we’re looking at the once place, you’ll see a two... this means that the two train both have a ending of 1 since 2 is split into 1...

That would be another clue..

Now let think again...

If it would be 151 and we subtract by 120.. we would get...

[tex]151-120=31[/tex]

Well it ends with a 1 so it would be perfect but we have to see if 151 and 31 together adds up with the total of 192..

[tex]151+31=192[/tex]

This means that train A could be 151 tons or 31 tons and train B can also be wither 151 tons or 31 tons...

Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.

Answers

Answer:

mineeeeeeeeeeee

Step-by-step explanation:

5/9 TIMES 1/6 PLS HURRY I HAVE ONE MINUTE LEFT

Answers

Answer: 5/54

Step-by-step explanation:

Answer:

5/54

= 0,092

Step-by-step explanation:

thank you

hope this helps

Find the number that belongs
in the green box.

Round your answer to the nearest tenth.

Answers

Answer:

24.2

Step-by-step explanation:

There is but one answer to this. It appears below.

Let's try it out and see what happens. We'll do it the way it sits.

Sin 40/8 = sin(x) / 7             Multiply both sides by 7

7* Sin(40) / 8 = sin(x)

Sin(40) = 0.6428

7 * 0.6428 / 8 = sin(x)

.56245 = sin(x)

x = sin-1(0.56245)

x = 34.23

Rounded to the nearest tenth, it is 24.2

Answer: 34.2

Step-by-step explanation:

Hope this helps!

Which equation represents the line through the points (3,2) and (-9,6) ?
x + 3y = 9
3x - y = -9
O x - 3y =9
3x + y =9

Answers

Answer:

Step-by-step explanation:

(3,2),(-9,6)

slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3

y = mx + b

slope(m) = -1/3

use either of ur points...(3,2)....x = 3 and y = 2

now we sub into the formula and find b, the y int

2 = -1/3(3) + b

2 = -1 + b

2 + 1 = b

3 = b

so ur equation is : y = -1/3x + 3 <==

please HELP ITS A GRADE AND TIMED I WILL MARK BRAINLIEST

Answers

Answer:

Domain: All Real Numbers

Range: y<0

Step-by-step explanation:

Looking at the graph, you can tell that the variable y has a lower point.

( I'm not sure how accurate this is I'm doing the same test right now. ;-;)  

Please help I am giving brainliest!

Answers

Answer:

6.3 in.^2

Step-by-step explanation:

The diameter of the circle is 4 in., so the radius of the circle is 2 in.

[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]

The two central angles have a total measure of 60 deg + 110 deg = 170 deg.

The central angle of the shaded sector is 360 deg - 170 deg =  190 deg.

We will use n = 190 deg in the area formula.

[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]

[tex] A_{sector} = 6.3~in.^2 [/tex]

Substitutions can have different
values

A. True
B. False

Answers

1Answer:

Step-by-step explanation:

Substitutions can have different values so I believe it is true

Solve the following for c: 10c + 12 = - 48

Answers

Answer:

c = -6

Step-by-step explanation:

10c + 12 = -48

subtract 12 from both sides

10c = -60

divide by 10 on both sides

c = -6

Answer:

C = -6

Step-by-step explanation:

10c + 12 = - 48

      -12     -12

10c = -60

/10     /10

c = -6

5/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST

Answers

Answer:5/56 or a decimal form of 0.08928571

Step-by-step explanation:

Answer:

0.08928571428571428571428571428571

Step-by-step explanation:

I hope this helps!

24 divided by 4 times d

Answers

Answer:

i think 6 not sure tho sorry if its worng

A red t-shirt costs $9.50. A black t-shirt costs 4 times as much as the red t-shirt. How much does the black t-shirt?
A. $36.50
B. $28.25
C. $36
D. $38

Answers

Answer: D or $38

Step-by-step explanation:

Answer: The answer is D) $38.

Step-by-step explanation:

When you multiply $9.50 by 4 you get $38.

REWRITE EACH PROBLEM AS A MULTIPLICATION QUESTION!

Hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch. If his lunch costs 10 dollars, how much money did he have at first?​

Answers

Answer:

$60, because if $10 is half, then before lunch Hunter had $20.

If Hunter used 2/3 of his money to buy that video game, and remained with $20 that means that 1/3 of the original amount of money he had was $20.

$20 * 3 = $60. Hunter began with $60.

Step-by-step explanation:

hope this helped you! :)

their how much will they pay ifame lasts for 4 hours 6 hours or 8 hours​

Answers

Answer:

There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:

AAAHHHHH!!!!!!! SOMEONE HELP!!!!

Answers

Answer:

43.10

Step-by-step explanation:

Je parle une ciart mwoa

When finding the volume of a rectangle shaped 3D box, what formula do you use?

Answers

Answer:

length x width x height

l x w x h

Writing an Equation in Slope-Intercept Form

Determine the equation for the given line in
slope-intercept form.

Answers

Answer:y=Mx+b

Step-by-step explanation:

Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?

Answers

Answer:

the height of the triangle is 47 inches

40 cm
42 cm
What is the length of the hypotenuse?

Answers

Answer:

by Pythagoras theorm

H² = B² + P²

H². = 40² + 42²

= 1600 + 1764

= 3364

= 58²

H = 58

hope it helps

f(x) = 3sinxº
Find f(22)
Give your answer correct to 3 significant figures.

Answers

Answer:

f(22) = 1.12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3sinx°

f(22) is x = 22

Step 2: Evaluate

Substitute in x:                                                                                               f(22) = 3sin22°Trig:                                                                                                                 f(22) = 3(0.374607)Multiply:                                                                                                           f(22) = 1.12382Round:                                                                                                            f(22) = 1.12

Length of time for a shower and the amount of water used

A. Positive association

B. Negative association

C. No association

Answers

I think it’s negative association, the more time you use the shower the more water you have used

Find the length of JL.

Answers

4.5 units is the value of the length of JL

16 emails to 6 text messages- 10 emails to 4 text messages proportional or not

Answers

Given:

16 emails to 6 text messages- 10 emails to 4 text messages

To find:

Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.

Solution:

Check the ratio of emails to text. If the ratios are equal then the relation is proportional.

16 emails to 6 text messages.

[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]

[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]

[tex]\dfrac{Emails}{Text}=8:3[/tex]

10 emails to 4 text messages.

[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]

[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]

[tex]\dfrac{Emails}{Text}=5:2[/tex]

Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.

(5,1) (3,2) Write the equation in point-slope form​

Answers

Answer: y-1=-1/2(x-5)

Step-by-step explanation:

[tex]\frac{2-1}{3-5}[/tex]

-1/2 slope

y-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

y-1=-1/2(x-5)

y-1=-1/2x +5/2

y=-1/2x+7/2

I have to turn this in at 5:00

Answers

Answer:

1/8

Step-by-step explanation:

Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)

.5*.25=.125 or 1/8

4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32

Answers

Answer:

A) 18

Step-by-step explanation:

add 46 and 26, you get 72

now, subtract 72 from 90 and what do you get?

........ not gonna tell me huh? XDD

you get 18, right???

to make sure you calculated correctly, add everything together

   46 + 26 + 18 = 90!!!

yay! so from what ive just showed you, what can you determine???

that 18 of the movies are science fiction.

Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!

Which expression shows a “7” NOT as a coefficient?

4x - 7y
7x + 8y
7(x + 9)
7 +5x

Answers

Answer:

7 + 5x

Step-by-step explanation:

there is no variable behind the 7

A coefficient is a number multiplied by a variable.

7 +5x

Because in this expression 7 doesn't have a variable

Please MARK me as brainlist

Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?

Answers

Answer:

27

Step-by-step explanation:

322415154551

Answer:

92

Step-by-step explanation:

Just simply add 57 to 35.

57+35=92

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