A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half
of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To
determine who listens and who does not, the teacher identifies the two students who scored highest on the last test
and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-
scoring students and continues in this manner until each student has their instructions. Which of the following best
describes this plan?
O This is a cluster sample.
O This is an observational study.
O This is a stratified random sample.
O This is an experiment with blocking.
O This is a completely randomized experiment.

Step-by-step explanation:

[tex] \text{p - 6 = 5}[/tex]

Since we want to get ' p ' on left hand side , remove the number ' - 6 '.

⇢ [tex] \text{p - 6 + 6 = 5 + 6}[/tex] { The opposite of -6 is +6 and whatever we do to one side , we must do to the another side. So, I added 6 on both sides }

⇢ [tex] \text{p = 11}[/tex] { On the left hand side , 6-6 = 0. That's how we removed the 6 so just 'p' is left. On the right hand side , 5+6 = 11 }

---------

[tex] \underline{ \underline{ \text{CHECK }}} : [/tex]

Always check your answer by substituting your answer for the variable that you solved for. This guarantees you a right answer !

[tex] \text{p - 6 = 5}[/tex]

⇢ [tex] \text{11 - 6 = 5}[/tex]

⇢ [tex] \text{5 = 5}[/tex]

[tex] \pink{ \underline{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{p = 11}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

24 hours

Step-by-step explanation:

4·10 = 40

180 - 40 = 140

140/7 = 20 hours from Mon - Fri

4 hours on Sat

20 + 4 = 24

Answer:

y = -2x - 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

5.99%

Step-by-step explanation:

5.99% × 16.50 = 0.98835

Answer:

30 more pages

Step-by-step explanation:

1-3/5 =2/5

We do this because we are finding the amount left, which is the remaining fraction left, or 2/5

Multiply 75 by 2/5

150/5 = 30

Answer:

20

Step-by-step explanation:

16 divided by 4/5 = 20 :)

Answer:

16 divided by four fifth equals 20

Answer:

25 x 4 = 100

17 x 4 = 68

68/100 = 68%

Step-by-step explanation:

I hope this helps! Have a nice day!

Answer:

No,it is a factorized quadratic equation

Step-by-step explanation:

(7+3x)2x expands to 14x+6x² which is a quadratic equation. It can also be written as 6x²+14x+0

Answer:

I assume you want an inequality so

m ≥ 20

Answer:

I made a yt vid for this

Step-by-step explanation:

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = B T 9 h 5 i f R 1 t Y

Step-by-step explanation:

59/8=7.375

So that's mean wxyz is bigger than the ABCD for 7.375

So YZ = 7.375×4 = 29.5

The area for the square is given, and it is 36. To simply find the length of each side, all you have to do is take the area and square root it. The square root of 36 ( ask yourself what number times itself is equal to 36? To get your answer or input it in the calculator. ) is 6. So, the answer is 6 and each side of the quilt is a length of 6.

Answer:

50.22 in²

Step-by-step explanation:

A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf in square inches. Round to the nearest hundredth.

Area of a Triangle = 1/2 × Base × Height

Base = 36 cm

Height = 18 cm

Area of the Triangle = 1/2 × 36 × 18

= 324 cm²

The area of the shelf(Triangular in shape) = 324 cm²

Converting to square inches

1 square centimetre = 0.155 square inch

324 square centimetre = x

x = 324 × 0.155 in²

x = 50.2201 in²

Approximately to the nearest hundredth = 50.22 in²

Therefore, the area of the shelf in square inches is 50.22 in²

Step-by-step explanation:

-11 + 3(b + 5) = 7

-11 + 3b + 15 = 7

3b + 4 = 7

3b = 3

b = 1

Answer: The answer is A. 1.

Step-by-step explanation:

-11 + 3(b + 5) = 7   Start by distributing the 3. 3xb and 3x5.

-11 + 3b + 15 = 7    Next combine all like terms. -11 + 15.

4 + 3b = 7             You want to get b by itself so move the 4 using subtraction.           ..................................4-4 and 7-4

3b = 3                   B is still not by itself. Now we must divide 3 by 3 and 3 by 3.

b = 1

Hope this helped. I explained the best I could.

Answer:

60°

Step-by-step explanation:

Dilation doesn’t change angle degree, so that’s irrelevant.

M<T=180-20-100=60°

M<T corresponds to the M<W

Answer:

3.6

Step-by-step explanation:

Answer:

yes it is +11

Step-by-step explanation:

Answer

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

The answer is A because the points that are represented given where they intercept on the x and y axis. These points are -1, 2, 10, and 5

Answer:

the other number is 120 okay

Answer:

Step-by-step explanation:

Use the fact that C + 118 = 180       Subtract 118 from both sides

C + 118 - 118 = 180 - 118

C = 62

C + 57 = B          C and A are remote interior angles.  They equal the exterior angles that are not supplementary to B.

62 + 57 = B

B = 119

Answer:

x=12, y= 20

Step-by-step explanation:

We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)

AC^2 + CD^2 = AD^2

x^2 + 5^2 = 13^2

x^2 = 25 = 169

x^2 = 144

x = 12

We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12

AC^2 + CB ^2 = AB^2

12^2 + 16^2 = y^2

144 + 256 = y^2

y^2 = 400

y= 20

I hope this helps! :)

Answer:

the answer in slope-intercept form would be y = 0.5x + 1

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x + 1

Step-by-step explanation:

The equation of the line in slope-intercept form is

y = mx + b , where "m" is a slope and "b" is an y-intercept.

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~

y = [tex]\frac{1}{2}[/tex] x + 1