A middle school has

220 students in grade 6;
170 students in grade 7; and
100 students in grade 8.

The media specialist wants to know which books are the most popular among the students in her school. Since she cannot ask all the students, she will survey a group of them.

Which sample can best help the media specialist draw conclusions about the preferences of all the students in the school?

A. 45 sixth graders, 35 seventh graders, 20 eighth graders

B. 20 sixth graders, 35 seventh graders, 45 eighth graders

C. 45 sixth graders, 45 seventh graders, 45 eighth graders

D. 20 sixth graders, 20 seventh graders, 20 eighth graders​

Answers

Answer 1

Answer:

Option A.

Step-by-step explanation:

We know that we have:

220 students in grade 6.

170 students in grade 7.

100 students in grade 8.

Now we want to make a sample, to have the sample in the most representative way, so we should select the same percentage of students for each grade.

Let's analyze option A (this is the one that makes sense because has the larger number for 6th grade, then 7th grade and last for 8th grade)

Here we need to look at the quotient between the number of students selected for each grade, and the total number of students in the grade:

for 6th grade:

45/220 = 0.2

for 7th grade:

35/170 =  0.21

for 8th grade:

20/100 = 0.2

In the 3 cases we can see that we have almost the same ratio, which means that for the sample we selected around the 20% of each grade.

This is the most representative way of sampling in this case, then the correct option is A.


Related Questions

Piper signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost per month is given by
the equation c =
0.5x + 2.99, where x represents the number of songs she
downloads and c represents the total cost, in dollars and cents. What could the
number 0.5 represent in the equation?

Answers

Answer:

I think the answer is 0.5 rate/number of songs she downloads. Sorry if I am wrong

Step-by-step explanation:

0.5x means that 0.5 is our rate and the question states that x represents the number of songs she downloads

I was in the hospital and missed a whole lesson in math HELP ME PLZZZ

Answers

Answer:

1.5 inches

Step-by-step explanation:

Area of a square:

A = a²

Given:

A = 2.25

Find a:

A = a²

2.25 = a²

[tex]\sqrt{a^2} =\sqrt{2.25}[/tex]

a = 1.5

No Explanation Please Don't Answer

Answers

Answer:

A) [tex]\frac{1}{2}(9+15)w[/tex]

Step-by-step explanation:

Area of a trapezoid is [tex]\frac{1}{2}(base1+base2) *h[/tex]

[tex]A=\frac{1}{2}(9+15)*w[/tex]

in a race, a man covers 5km in 20 min. how much distance will he cover in 100 min​

Answers

Step-by-step explanation:

men is covers by 25km in 100min

PLSSSSSSSSSS HHHELP MEE ITS A TESTTT

Answers

Answer:

The answer is C

Step-by-step explanation:

Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2 tacos and 4 enchiladas, which cost him $6.38. What is the cost of one taco and what is the cost of one enchilada?

Answers

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

Find the area of a regular decagon with a perimeter of 60 ft.

Answers

Answer:

Area of a regular decagon with a perimeter of 60 ft. = 277 squared ft

Step-by-step explanation:

Decagon has 10 sides    So 60/10 = 6 (each side = 6ft )

The sum of the  interior angles of a decagon  is 1 440 degrees.

There are  10 equal isosceles triangles of base angles 72 degrees  in a decagon

Each isosceles triangle can subdivided into 2 right-angled triangles with height h and base length = (6/2) = 3 cm and base angle 72 degrees.

Height of right-angled triangle h = 3 tan 72 ft.

Area of 1 right-angled triangle = (1/2)(3)(3 tan 72) = 13.85 squared ft  

Area of decagon = 20 right-angled triangles = 277 squared ft

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.





mJKL = 230


area of shaded sector =


area of unshaded sector =

Answers

Answer:

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = 200.6 sq units

Step-by-step explanation:

First let us calculate the area of the circle

Area of the circle = πr²

radius r  = 10units

Area of the circle = π(10)²

Area of the circle = π(100)

Area of the circle = 3.14(100)

Area of the circle = 314 sq. units

Area of a sector = theta/360 * πr²

Area of the unshaded sector = 130/360 * 314

Area of the unshaded sector = 13/36 * 314

Area of the unshaded sector = 113.389 sq units

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = Area of circle - Area of the unshaded sector

Area of the shaded sector = 314 - 113.89

Area of the shaded sector = 200.6sq. units

A baker used 4 cups of flour to make 5
batches of cookies. He used _?_ of a
cup of flour to make lbatch of
cookies.

Answers

I’m assuming you meant 1 batch. Either way, he uses 0.8 bags per batch.

Answer:0.84

Step-by-step explanation:

Here,5 cups = 6 batches divided both side by 65/6 cups = 1 batches1 batch =  0.84 cupThus, 0.84 cups is required to make 1 batch of cookies.

pls help me i am stuck on this question

Answers

Answer:

a. 25*17.5=437.5

b. 488

Step-by-step explanation:

a. If we put the two figures together they equal a square. so we do 25*17.5=437.5 if I'm wrong then try 875! Hope this helps

b. Lets add the rectangle and triangle together!!

32*10 +(8*32)/2

=320+256/2

=320+128

=488

I don't have a question just look at the picture​

Answers

Answer:

I looked at the picture and it looks nice

Step-by-step explanation:

I dont know the answer?

(BRAINLYEST) Apply the markdown and find the sale price. Round to two decimal places when necessary.


A soft blanket originally cost $18.99. It is marked down 20%. What is the new price, not including sales tax?

Answers

Answer:

Got to quizlet it has the answer.

Step-by-step explanation:

Hope it helps

find the volume of a cone with a height 7 and radius 7

Answers

Answer:

359.19

Step-by-step explanation:

Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.

I estimated pi at about 3.14

Need help ASAP please

Answers

Answer:

because the length is 4 feet more than the width

=> the length is x + 4 (feet)

because the base has an area of 21 square feet

=> x(x + 4) = 21

<=> x² + 4x = 21

PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT

Answers

equivalent
Not equivalent
Not equivalent
Equivalent
Not equivalent
Not equivalent
Equivalent
Not equivalent
Equivalent

Hopefully I got these right! I was rushing

How many 4 1/2 are in 6 3/4

Answers

The person in the top is correct

Which quantity is proportional to 35⁄80?

Answers

Answer:

7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

Simplify

Aaaaaaaaaaaaaaa a aaaaaaaaaaaaaaaaaaa khan academy

Answers

Hi again

Answer:

7t=105

Mu walked 15 laps

`$7 * l = $105`

`l = $105 : $7`

`l = 15 (laps)`

Question 8: A bicycle shop sold 8 tires for $298.75. What was the cost of 1 tire to the nearest hundredth?

Answers

Answer:

Unitary cost= $37.34 = $37

Step-by-step explanation:

Giving the following information:

Number of tires= 8

Total cost= $298.75

To calculate the unitary value of each tire, we need to use the following formula:

Unitary cost= total cost / number of tires

Unitary cost= 298.75 / 8

Unitary cost= $37.34 = $37

946 x 1/3
Please help!!​

Answers

Answer:

Sure! Your answer is about 315.33.

Step-by-step explanation:

If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.

Please like and mark brainliest!

Hope it helps!

What is the slope-intercept form of the equation of the line with a slope of 1/4 that passes through (-4, -8)​

Answers

Answer:

y=1/4x-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=1/4(x-(-4))

y+8=1/4(x+4)

y=1/4x+4/4-8

y=1/4x+1-8

y=1/4x-7

gina drew three small congruent circles beside one large circle. based on the diagram which answer choice is the closest to the area of the large circle?

Answers

Answer:28.3 cm2

Step-by-step explanation:

A boat is heading due north at 15 mph. The current is flowing southeast at 5 mph. Find the actual bearing and speed of the ship

Answers

Answer:

3 Mph

Step-by-step explanation:

Have a nice day!

Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12

Answers

Answer:

3,672

Step-by-step explanation:

Given the sequence 6, 9, 12...

The sequence is an arithmetic sequence

first term a = 6

common difference d = 9 - 6 = 12 - 9 = 3

number of terms n = 48

Sn = n/2[2a+(n-1)d]

Substitute the given values

S48 = 48/2[2(6)+(48-1)(3)]

S48 = 24(12+(3*47))

S48 = 24(12+141)

S48 = 24(153)

S48 = 3,672

Hence the sum of the first 48terms is 3,672

Can someone please help me for 4a. i know that answer and the answer is 15d+20 but what is the answer for the second part which is 4b.??

Answers

Answer:

I answered Part A here in your last question

https://brainly.com/question/23124193

B. No, you will not get a different amount because their expressions were the same, so they make the same ammount of money which is 1.3333 dollars per walk.

Step-by-step explanation:

If you have any quesitions feel free to ask in the comments

 

prove this that the lll​

Answers

Answer:

hmm pray you will fine the answer.

Step-by-step explanation:

dunno can you please say details

Find the volume of the prism. Round to the nearest tenth if necessary

Answers

Answer:

63cm³

Step-by-step explanation:

The shape above is a rectangular prism

The formula for a rectangular prism is given as:

= Length × Width × Height

Length = 3cm

Width = 3cm

Height = 7cm

= 3cm × 3cm × 7cm

= 63 cm³

The volume of the rectangular prism = 63cm³


Which of the following is a solution to the system of
equations?
4 + y = -x
y = 2x - 10

Answers

Answer:

x=3, y= -6

Step-by-step explanation:

make 4+y= -x as equation (1) and make y=2x-10 as equation (2, then you must find a third equation either from equation (1)or (2). If you choose to find equation (3) from (2) it will be y=2x-10 , then substitute equation (3) from (1) because you can't choose (2) , then it will be 4+(2x-10)= -x

the answer will be x =2

substitute x from equation (3)

y=2x-10

y=2 (2)-10

y= -6

Please help me with this

Answers

Answer:

55.56 Units

Step-by-step explanation:

6+10+13+6= 35.

PLEASE HELP PLEASE HELP
NO EXPLANATION

Answers

Answer:

A hope it helped im a junior in college i dont take science

Step-by-step explanation:

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