Identify the dependent and independent variables on the following scenario:
A researcher is studying the effect of sleep on academic performance, thinking that less sleep will lead to lower grades. She has
some people sleep six hours per night, some people sleep three hours per night, and some people sleep as much as they want.
She then monitors academic behavior during English and math classes among participants. (Site 1)

Answers

Answer 1

Answer:

I think that the dependent variable would be the academic performance because she hypothesizes that the performance depends on how many hours of sleep you get. And the amount of sleep would be the independent variable. I'm not too too sure.

Answer 2

Answer:

Independent Variable = Effect of Sleep

Dependent Variable = Academic Performance

Step-by-step explanation:

As we know that dependent variable depends on independent variable and on changing the value of independent variable, value of dependent variable also get changed.

Here in the given scenario academic performance is depend on the effect of sleep. Thus,

Independent Variable = Effect of Sleep ( Number of hours of sleep)

Dependent Variable = Academic Performance.


Related Questions

Your friend is making a pattern for quilt pieces. Her pattern is a right angle with two acute angles that complementary. The measure of one of the angles is to be 12° more than half the measure of the other angle. Find the measure of each angle of the triangle. Show your work using the format above. ​

Answers

Answer:

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x ----> the measure of angle 1

y ----> the measure of angle 2

we know that

[tex]x+y=90\°[/tex] -----> equation A

[tex]y=\frac{x}{2}+12[/tex] ----> equation B

Substitute equation B in equation A and solve for x

[tex]\frac{x}{2}+12+x=90\°[/tex]

[tex]\frac{x}{2}+x=90\°-12\°[/tex]

[tex]\frac{3x}{2}=78\°[/tex]

[tex]x=(2)78/3=52\°[/tex]

Find the measure of y

[tex]y=\frac{52}{2}+12=38\°[/tex]

therefore

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Final answer:

The two acute angles in the triangle are 52° and 38°. This is found by setting up and solving two equations based on the problem's conditions.

Explanation:

This question is about solving an equation related to two acute angles in a triangle. Let's denote the smaller angle as 'x' and the larger angle as 'y'. Since the two angles are complementary, we can write an equation like 'x + y = 90'. The problem states that one angle is 12° more than half the other. We can formulate this as 'y = x/2 + 12'. To solve for 'x' and 'y', we need to substitute 'y' from the second equation into the first one to get 'x + x/2 + 12 = 90'. Multiplying through by 2 to eliminate the fraction gives '2x + x + 24 = 180', which simplifies to '3x = 156'. Solving for 'x' gives 'x = 52'. Substitute 'x' into either of the original equations gives 'y = 52/2 + 12 = 38'. Thus, the two acute angles in the triangle are 52° and 38°.

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What is the value of the expression with base 3 and exponent 6

Answers

Answer:

729

Step-by-step explanation:

3 x 3 x 3 x 3 x 3 x 3 = 729

3•3•3•3•3•3•3•3•3
9•9•9
81•9= 729

Which table represents a linear function?

Answers

The answer would be the fourth option. A linear function would be like a adding rule. For example +4 on the left side and +1 on the other side. In this case the answer would be the fourth option because the adding rule is +1 and +2.

Hope this helps.

PLEASE HELP QUICK !!!!!!Point B is in the interior of ∠AOC, m∠AOC = 108°. Find m∠AOB, if m∠AOC = 3m∠AOB.

Answers

Answer:

The measure of angle AOB is 36°

Step-by-step explanation:

- Point B is in the interior of ∠AOC

- That means angle AOB is a part of angle AOC

- Measure of angle AOC is 108°

- Measure of angle AOC is 3 times measure of angle AOB

- We need to find measure of angle AOB

* Lets solve the problem

∵ m∠ AOC = 3 m∠ AOB

∵ m∠ AOC = 108°

- Substitute m ∠AOC in the equation above

∴ 108 = 3 m∠ AOB

- Divided both sides by 3

∴ 36° = m∠ AOB

The measure of angle AOB is 36°

Answer: The measure of ∠AOB = 36°.

Step-by-step explanation:

Since we have given that

m∠AOC = 108°

and we need to find the measure of ∠AOB.

As we know that

[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]

Hence, the measure of ∠AOB = 36°.

Find the distance between
(3,4) and (-5,7).

Answers

Hey!

------------------------------------------

Formula: [tex]\sqrt{(x2 - x1) + (y2 - y1)^{2} }[/tex]

------------------------------------------

Solution:

[tex]= \sqrt{(-5 - 3) + (7 - 4)^{2} }[/tex]

[tex]= \sqrt{(-8) + (3)^{2} }[/tex]

[tex]= \sqrt{-5^{2} }[/tex]

[tex]= \sqrt{-25}[/tex]

= 5

------------------------------------------

Answer:

The distance between both points is 5 units.

------------------------------------------

Hope This Helped! Good Luck!

Robert works at a car dealership. Each month, he receives a base salary of $1,685.00, plus a commission of $465.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)

A.
$1,685y = $465x
B.
y = $465x + $1,685
C.
y = $465x
D.
y = $1,685x + $465

Answers

The answer is choice B.

y = $465x + $1685

The sum of three integers is 228. The second integer is 1 more than the first,
and the third integer is 2 more than the first. Write an equation to determine
the integers. Solve your equation. Show your work.

Please help

Answers

Answer: The integers are 75,76,77

Step-by-step explanation:

Answer: first ingeter is 75, second is 76, and third 77

Step-by-step explanation: 75 + 76 + 77 = 228

4.5+1.5x=18-3x
a)1.5 b)3 C)6 D)9​

Answers

Answer:

b) 3

Step-by-step explanation:

4.5+1.5x=18-3x

1) Subtract 4.5 from both sides:

1.5x=13.5-3x

2) Add 3x to both sides:

4.5x=13.5

3) Divide both sides by 4.5:

x=3

Round 725,390 to da nearest thousand

Answers

Answer:725000

Step-by-step explanation:in thousands you have 5,390. Sound you’re rounding down from the hundredth position of 390. 390 is below 500 so go down a thousand.

Consider a situation in which P(X) = 4/5 and P(Y) = 1/4. If P(X and Y) is = 1/5, which best describes the events?
They are independent because P(X) x P(Y) = P(X and Y).
They are independent because P(X) + P(Y) = P(X and Y).
They are dependent because P(X) x P(Y) = P(X and Y).
They are dependent because P(X) + P(Y) = P(X and Y).

Answers

The answer is C if im not mistaken

Answer:  The correct option is

(A) [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]

Step-by-step explanation:  We are given to consider a situation in which X and Y are two events such that

[tex]P(X)=\dfrac{4}{5},~P(Y)=\dfrac{1}{4},~P(X\cap Y)=\dfrac{1}{5}.[/tex]

We are to select the statement that best describes the events X and Y.

We know that

any two events A and B are said to be independent if

[tex]P(A)\times P(B)=P(A\cap B).[/tex]

We have, for events X and Y,

[tex]P(X)\times P(Y)=\dfrac{4}{5}\times\dfrac{1}{4}=\dfrac{1}{5}=P(X\cap Y)\\\\\\\Rightarrow P(X)\times P(Y)=P(X\cap Y).[/tex]

Thus, X and Y are independent because [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]

Option (A) is CORRECT.

1-2+3-4+5-6+..+99-100.

Answers

-50

So you want to pair them up
(1-2)+(3-4)+(5-6)..+(99-100)
And write the answer for each pair
(-1)+(-1)+(-1)..+(-1)
When looking at this you can see that each pair equals -1
So you divide 100 by 2 and multiply that by the -1
100/2=50
50*-1=-50
Answer is 50


You would use the same method if you were going up to a number like a 500
The answer would be -250

How do u make that into a decimal and js it terminating or repeating ?

Answers

Answer:

0.2

Step-by-step explanation:

first you do 1÷5 which is 0.2

and since it has an end it is terminal

examples of terminal decimals: 0.2, 0.34, 0.4356, ect

examples of repeating: 0.3333333333..., 0.4343434343434343434343...,0.25555555555..., ect

Final answer:

To convert into decimals, perform division between the numerator and the denominator. The resulting decimal can either be terminating (ends after a few digits) or repeating (has a pattern that infinitely repeats), based on the values used. Multiply by powers of ten to move the decimal point to the right accordingly.

Explanation:

To convert a fraction or a different numerical format into a decimal, we can employ the concept of division. Essentially, you can divide the numerator (top number) by the denominator (the bottom number) to produce a decimal. Now, whether this decimal is terminating or repeating depends on the values of the numerator and denominator.

As an example, let's consider the fraction 1/2. If we do the division, we get 0.5. Since there are no further digits after 0.5, we can say that it is a terminating decimal.

On the other hand, if we consider a fraction like 1/3, the decimal representation will be 0.3333..., and the 3s will continue indefinitely. This is a repeating decimal.

Regarding the pattern you referred to, it's used for multiplying a decimal by powers of ten. Count the zeros in the power of 10 and then move the decimal point in your number that many places to the right.

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Total these measurements?

8.3m
5.2m
4.36m
42.1m
86.0m
Help pls

Answers

Answer: 145.96

Step-by-step explanation:

add them to gather8.3+ 5.2+4.36+42.1+86.0

145.96
Add all of them together

3/4x-5/6=2/3x how to solve?

Answers

Answer:

The answer is 10.

Step-by-step explanation:

Multiply both sides of the equation by 12.

12( 3/4x - 5/6) = 12 times 2/3x.

Distribute 12 through the parenthesis.

12 times 3/4x - 12 times 5/6 = 12 times 2/3x.

Reduce the numbers with greatest common divisor 3.

12 times 3/4x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 4.

3 times 3x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 6.

3 times 3x - 2 times 5 = 4 times 2x.

Calculate the product, 4 times 2x.

3 times 3x - 2 times 5 = 8x.

Calculate the product 3 times 3x.

9x - 2 times 5 = 8x.

Multiply the numbers - 2 times 5.

9x -10 = 8x.

Move the constant to the right by adding its opposite to both sides.

9x - 10 + 10 = 8x + 10.

Eliminate the opposites, -10 + 10.

9x = 8x + 10.

Move the variable to the left by adding its opposite to both sides.

9x -8x = 8x -8x + 10.

Now eliminate the opposites

9x - 8x = 10.

Collect the like terms by subtracting their coefficients.

(9-8)x

Subtract the numbers.

1x.

When the term has a coefficient of 1, it doesn't have to be written, so it's basically x.

Then, x will equal to 10!

How many factors of 3 does the number 135 have?

Answers

Answer:Prime factorization:  

135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5. 1 + 3 + 5 = 9. Nine is a multiple of both 3 and 9, so this quick divisibility trick lets us know that both 3 and 9 are factors of 135. 135 = 1⁵ x 3³ x 5¹.

Answer:

The answer is three times 3.

Step-by-step explanation:

In order to determine the answer, we have to know about factorization.

Any number can be expressed by prime numbers. The procedure is:

if the number is even, to divide the number by the first prime number, 2.if the number is odd, to divide the number by some odd prime number.

In this case, we need to know how many factors of 3 have the number.

[tex]135/3=45\\45/3=15\\15/3=5\\5/5=1\\\\135=3^3*5[/tex]

As we can see, there are three times the factor 3.

Finally, the answer is three times 3.

4321342345670
+22347968

Answers

the Answer is

4.3213647e+12

let g(x)=-9x^2-8x and f(x)=x+2 find f(x)+g(x)

Answers

We can simplify this to the equation of
-9x^2-8x+x+2
We can only combine two terms here. That is the -8x and the x.
-9x^2-7x+2

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set
of this problem?
-

Answers

Answer:

x-1÷2/5=x+1÷3/5

Step-by-step explanation:

Hint: Is means equals.

UITO
11.
The number -1.4 would fall into which sets of numbers?

I. Rational Numbers
II. Integer
III. Whole Number
IV. Counting Number

a) I only
b) I, II, and III
c) I and II
d) II and III

Answers

Answer:

C

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4, and so on, whole numbers are 0, 1, 2, 3, and so on, integers are natural and whole numbers and their opposites (for example, the opposite of 2 is negative 2), and rational number all those and fractions and terminating/repeating decimals.

So basically, -1.4 is an integer and a rational number. Hope that helps!

the total weight of peter, david and henry is 123 kg. peter is 15 kg heavier than david. david is 3 kg lighter than henry. find henry's weight.​

Answers

Let me break this down with what we know like:

-David + Henry + Peter = 123kg

-Peter is 15kg heavier than David

-David is 3kg lighter than Henry

Now that we know this we can break things down.

The ratio of the 3 people is this:

- (0:3:15)=(David:Henry:Peter)

And these 3 numbers are equivalent to 18+ start with a increase of 3 every weight plus added to find all 3 of their weights, so if there is an increase of 3 and a start of 18 then we can make an equation for example:

123kg = 3x + 18

105 = 3(35)

105 = 105

So we know all 3 other than the info we knew from before which is about 11.6, So if all of them have about 11.6. So everyone's weight would be:

-David is about 11.6kg

-Henry is about 14.6kg

-Peter is about 26.6kg

Hope this helps ^^

Answer:

P-peter,D-david ,H-henry. ,P+D+H=123Kg. so P=15+D,= 15+D+D+D+3=123. 3D+18=123. .

3D=123-18.

D=35

so David(D)=35

Peter(P)= 15 + 35=50

so (P)=50

and henry(H)=D+3= 35+3=38

Henry(H)= 38


Mr. Lawson parked his car in a parking garage 33 feet below street level. He
then got in an elevator and went up 88 feet to his office. How far above street
level is his office?​

Answers

55

Step-by-step explanation:

Subtraction

Mr. Huynh wrote the sum of 7 fifteens and 38 fifteens on the board. Draw a model, and write the correct expression.

Answers

Answer with Step-by-step explanation:

Let one ⊕ represents fifteens.

Mathematically, we assume that

x represents fifteens

So, our equation becomes,

[tex]7x+38x\\\\=45x[/tex]

Model can be represented as :

7×⊕ + 15 ×⊕

=⊕⊕⊕⊕⊕⊕⊕ + ⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

How many liters are in 14 quarts?

Answers

Answer:

13.2 liters

Step-by-step explanation:

Answer:

13.2489412

Step-by-step explanation:

2 1/2+3 3/4+1 1/2 plz hep me plz thanks you

Answers

Answer:

7.75 or 7 3/4

Step-by-step explanation:

2 1/2 + 1 1/2 = 4

4 + 3 3/4 = 7 3/4

7 3/4 = 7.75

either works

what is 8 simplified?

Answers

Answer:

8/ 8  is  1 /1

Step-by-step explanation:

8 ÷ 8  

8 ÷ 8

Reduced fraction:  

1 /1

...........help pleaseeee

Answers

What is your question?

URGENT!! PLEASE ANSWER!
After completing the wood trim on her kitchen​ cabinets, Candice has 38 inches of trim left. She decides to make a picture frame out of the wood. She wants to make the frame so that the length is 5 inches less than three times the width. What must the dimensions​ be?

Answers

Answer:

The dimensions of the frame must be 13 inches and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the lengths of its sides

- The rectangle is a quadrilateral with each two opposite sides are

 equal so the perimeter of the rectangle = 2l + 2w, l and w are the

 length and the width of it

- Candice has 38 inches of trim

- She wants to make a picture frame

- The frame is shaped a rectangle where its length is 5 inches less

  than three times the width

- Assume that the length is l and the width is w are the dimensions

 of the frame

l = 3w -5 ⇒ (1)

∵ The perimeter of the frame is the length of trim

∵ The length of the trim is 38 inches

∴ The perimeter of the frame is 38 inches

∵ Perimeter of the frame = 2l + 2w

2l + 2w = 38 ⇒ (2)

- Substitute equation (1) in equation (2)

∴ 2(3w - 5) + 2w = 38

- Multiply the bracket by 2 and add like terms

∴ 6w - 10 + 2w = 38

∴ 8w - 10 = 38

- Add 10 for both sides

∴ 8w = 48

- divide both sides by 8

w = 6

- Substitute the value of w in equation (1) to find l

∵ l = 3w - 5

∴ l = 3(6) - 5 = 18 - 5 = 13

l = 13

∵ l and w represent the length and the width of the frame

The dimensions of the frame must be 13 inches and 6 inches

50 pts!!! Given: x - 6 1/3 ≤ 1 1/2. Choose the solution set.

A.{x | x R, x ≤ 7 }

B.{x | x R, x ≤ 7 }

C.{x | x R, x ≤ 5 }

Answers

Answer:

{x | x R, x ≤ 7 5/6 }

Step-by-step explanation:

we have

[tex]x-6\frac{1}{3} \leq 1\frac{1}{2}[/tex]

Convert mixed number to an improper fraction first

[tex]6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}[/tex]

[tex]1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}[/tex]

substitute

[tex]x-\frac{19}{3} \leq \frac{3}{2}[/tex]

Multiply by 6 both sides to remove the fractions

[tex]6x-38 \leq 9[/tex]

Adds 38 both sides

[tex]6x \leq 9+38[/tex]

[tex]6x \leq 47[/tex]

Divide by 6 both sides

[tex]x\leq \frac{47}{6}[/tex]

convert to mixed number

[tex]\frac{47}{6}=\frac{42}{6}+\frac{5}{6}=7\frac{5}{6}[/tex]

substitute

[tex]x\leq 7\frac{5}{6}[/tex]

therefore

{x | x R, x ≤ 7 5/6 }

Point I is on line segment HJ. Given H I = x, H J = 3x – 9, and
IJ = x + 5, determine the numerical length of HJ.

Answers

Answer:

HJ = 33

Step-by-step explanation:

Given that point I is on segment HJ, then

HJ = HI + IJ ← substitute values

3x - 9 = x + x + 5, that is

3x - 9 = 2x + 5 ( subtract 2x from both sides )

x - 9 = 5 ( add 9 to both sides )

x = 14

Hence

HJ = 3x - 9 = (3 × 14) - 9 = 42 - 9 = 33

The numerical length of HJ is 33

The given parameters;

distance of HI = x

distance of HJ = 3x - 9

distance of IJ = x + 5

To find:

the numerical length of HJ

A sketch of the positions of the line segments is shown below;

|<-----x------->|<--------------------------x+5------------------------------>|

H---------------I----------------------------------------------------------------J

The value of x will be calculated by setting up the following equation;

HI + IJ = HJ

x + x + 5 = 3x - 9

2x + 5 = 3x - 9

collect similar terms together;

2x - 3x = -9-5

-x = -14

x = 14

The numerical length of HJ is calculated as;

HJ  = 3(14) - 9

HJ = 42 - 9

HJ = 33

Thus, the numerical length of HJ is 33

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When multiplying more than two integers how can you determine the sign of the product

Answers

When you multiply two numbers, let’s say x and y, there are no negatives, so you know that it is positive. So that means it’s xy. Now, imagine we make that a -x times y. Since there is only 1 negative, it is negative. So that would be -xy. Now, imagine you have -x times -y. Since there are an even number of negatives, they cancel out!! (Magic). So -x times -y is xy.
Other Questions
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