A teacher wants to know if burning a scented candle affects students’ performance on pop quizzes. In the experiment, there will be a treatment group and a control group each taking their quizzes in a room that either does or does not have a scented candle burning.

Why is randomization important when setting up an experiment to answer this research question?

to ensure that both groups have a nice mix of students
to ensure that the two groups have the same number of students
to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills
to ensure that the rooms for both groups are approximately the same regarding time of day, temperature, sound control, and lighting

Answer:

5.4 meters per square second

Step-by-step explanation:

If that rover was on the Earth the weight of it would be 620 N (62*10)

In the new planet the gravitational acceleration is not same as the earth it's definitely less than that of the earth

Let's take the gravity constant of the plant as x.

so, 62*x= 334.8 N

x= 334.8/62

x= 5.4

Answer: If this is a 2D box, the length would be 2

Step-by-step explanation:

Answer:

A and D are correct.

Answer:

1) 38.9%

Step-by-step explanation:

There are 18 total pieces of candy, 4 of which are blue, and 3 of which are yellow. So the probability of randomly selecting one blue or one yellow piece of candy is

[tex] \frac{3}{18} + \frac{4}{18} = \frac{7}{18} = 38.9\%[/tex]

The indefinite integral will be  [tex]\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)[/tex]

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:                                                              

[tex]\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C[/tex]

Integration Property [Multiplied Constant]:                                                        

[tex]\int cf(x)dx=c\int f(x)dx[/tex]

Integration Property [Addition/Subtraction]:                                                      

[tex]\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx[/tex]

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

[tex]\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx[/tex]          

[Integrals] Rewrite [Integration Property - Multiplied Constant]:  

[tex]\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx[/tex]            

[Integrals] Reverse Power Rule:    

[tex]\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C[/tex]                                                            

Simplify:    

[tex]\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C[/tex]                                                                                                      

So the indefinite integral will be [tex]\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C[/tex]                

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Answer:

x=66

Step-by-step explanation:

35-13=22

22*3=66

x=66

Answer:

X=66

Step-by-step explanation:

66 divided by 3 =22

13+22=35

Answer:

36 quarters

9 / 0.25 = 36

Answer:

7.8

Step-by-step explanation:

since the shape is a right angled triangle,

we use Pythagoras theorem to find

X= ✓6^2+5^2 = √36+25=. √61 =7.8

Answer:

I used Desmos to graph your requirements, and i took a screenshot of the graph. Credit to Desmos for the great graphing system.

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

Anytime you see f(x) that just means y.

So f(x)=5 just means

y = 5

Anytime you have an equation to graph that is in the format

"y= anumber", that is a Horizontal line. So the first piece of your graph is the horizontal line thru 5. But also that's only for x>=3. It includes the 3 with the "or=to" underline. So the point must be a solid filled-in point. (Some weird books or teachers use a [ square bracket.) Same logic works for the second piece of the function. f(x) = -6 is the same as y= -6 and is a horizontal line thru -6. But the point at (3, -6) is an Open dot! See image.

Answer:

[0,∞), {y|y≥0}

Step-by-step expl

The graph of y =|3x + 1| is attached.

By observation, we can see that the the least y-value that the graph can take is y =0 (i.e the x-axis) and the greatest y-value that the graph can take is positive infinity.

Hence the range is [0,∞), {y|y≥0}

Step-by-step explanation:

the domain is the set or interval of all valid x-values.

the range is the set of interval of all valid y-values.

the function is a line function, so it's values will continuously increase with increasing x-valies.

therefore we can simply take the 2 interval ends of the domain as the x-values that create the lowest and the highest functions value in that interval.

the function does not make any large twists and turns in that interval.

y = 3x + 1

for x = 2

y = 3×2 + 1 = 6 + 1 = 7

for x = 8

y = 3×8 + 1 = 24 + 1 = 25

so, the range is [7, 25]

From the figure, the value of tan j is 13/9

The tangent of an angle is represented as: :

tan(j) = opposite leg/adjacent leg

From the figure, we have:

opposite leg = 13

adjacent leg = 9

Substitute these values in the above equation of tangent

tan(j) = 13/9

Hence, the value of tan j is 13/9

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Answer:

Kia makes 19.25 dollars an hour.

Step-by-step explanation:

6x4+8=32 (hours: 6 hours for 4 days, and 8 hours for 1 day)

616 divided by 32 = 19.25

Answer:

11x⁴+12x³-9x²-8x

Step-by-step explanation:

M.a.t.h.w.a.y

Answer:

14 packages

Step-by-step explanation:

profit = revenue - expenses

we want profit to be 0

0 = revenue - expenses

revenue = 5.60 per package = 5.60 * number of packages

expenses = 56 + 1.60 per package = 56 + 1.6 * number of packages

0 = revenue - expenses

let's say the number of packages = n

0 = 5.6 * n - (56 + 1.6 * n)

= 5.6n - 56 - 1.6n

= -56 + 4n

add 56 to both sides to isolate the variable and its coefficient

56 = 4n

divide both sides by 4 to isolate the variable

n = 14

The value of the probability expression p(girl, girl, girl) is 1/8

The theoretical probability is given as:

P(girl) = 1/2

The value of p(girl, girl, girl) is calculated using:

p(girl, girl, girl) = p(girl) * p(girl) * p(girl)

So, we have:

p(girl, girl, girl) = 1/2 * 1/2 * 1/2

Evaluate

p(girl, girl, girl) = 1/8

Hence, the value of the probability expression p(girl, girl, girl) is 1/8

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Answer:

Answer:

her rate in chapters per hour is:

6 chapters per hour

Answer:

Step-by-step

the total number of balls in the in the bag is 10

Then

the probability of drawing a red ball on the first draw is 4/10.

…………………………………………………………

Now , if the first ball drawn is not replaced.

Then

the probability of drawing a red ball on the Second draw is 3/9.

……………………………………………

Conclusion:

the probability that two balls drawn at random from the bag will be red if the first ball drawn is not replaced is :

(4÷10)×(3÷9)

= (2÷5)×(1÷3)

= 2÷15

= 0.133333333333

|-7| + 3|4|

7 + 12

19

hope it helps...!!!

Answer: Heyaa! ~

Your Answer Is 19, Which is C.

Step-by-step explanation:

Order of operations:

  PEMDAS

Hopefully this helps you! ^

Step-by-step explanation:

n + 34 = 34 + n

commutative means you can change the sequence of the parts without changing the overall result.

g × h = h × g

s + 0 = s

b × 1 = b

the identity property points are to show that adding 0 or multiplying by 1 does not change anything.

Answer:

Around 77%

Step-by-step explanation:

10/13 = 0.769

Answer:

Step-by-step explanation:

B is the image of D

6 left

2 down

Answer: C (in choices)

B is the image E

6 down

5 left

Answer: D  (in choices)

C is the image of D

1 left

2 down

Answer: F (in choices)

Answer:

1.6.36 cm

2

Step-by-step explanation:

Using sine rule to find the length of the BC.

Answer:

We can see that our y-value of our coordinates do not change so we can just subtract the first x-value from the second x-value.

[tex]x_2 - x_1[/tex]

[tex]4 - (-4)[/tex]

[tex]8[/tex]

The option that best matches our answer is Option B, [tex]8[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

A=61, B=74

Step-by-step explanation:

Because all the angles in a triangle add up to 180:

(2x+4) + (2x-9) + x = 180

If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.

Answer:

Circumference is a special case of perimeter. Both describe the total length of the boundary of a two dimensional figure, but circumference specifically refers to the perimeter of a curved figure or arc. Therefore it only applies to circles, ovals, ellipses, arcs, etc.

Answer:

Both words are used to talk about how long the boundary is of a 2D figure. Think of circumference as a special case of finding the perimeter. The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.

So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter. On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.