In the hormone replacement studies of menopausal women, doctors rejected the results of the observational study after conducting the experiment. In the experiment they controlled the effects of confounding variables that had probably influenced the results in the observational study. In the experiment the doctors used random assignment to treatment groups, a placebo, and double blinding to control the effects of confounding variables. Which of the following are potential confounding variables? Check all that apply.
A. whether a woman took hormones
B. whether a woman in the study had a heart attack
C. wealth
D. access to health care

Answer:

Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2

2x^2 + 3x - 20 = 0

(x + 4)(2x - 5) = 0

Solution:

x = -4

x = 5/2

Answer:

x= 2.5

x= 2.5x = - 4

Step-by-step explanation:

1:2

x² : (20 - 3x)

x2 : x 1

2x² : 1(20-3x)

2x² : 20 - 3x

+3x , then - 20

2x² + 3x - 20 = 0

2 x - 20 = - 40

x to get - 40

+ to get 3

(8 x - 5 = -40 & 8 + - 5 = 3)

Split 3x into 8x & - 5x, then factorise:

2x^2 + 3x - 20 = 0

2x^2 + 8x - 5x - 20 = 0

2x(x+4) - 5(x + 4)

(2x-5) (x+4) =0

2x - 5 = 0

+5

2x = 5

÷2

x = 2.5

x+4=0

-4

x = - 4

x=2.5,-4

Hope this helps!

the answer is B because the question is asking for the factors

Answer:

48.

Step-by-step explanation:

1). <C = 74 because it forms a supplemetary angle 180- 106 = 74.

2). We know that the sum of all the angles in a triangle is 180 so we need to add them.

3). 4y + 3y +22 + 74= 180

4). simplify 7y +96=180

5). isolate y so we must subtract 96 from either side.

6). 7y= 84 now divide by 7 on each side. 84/7 = 12.

7). Now we know y = 12 and that angle A is equal to 4y.

8). <A = 4(12) now distrubute

9). <A= 48 degrees

GOD, BLESS!!!

Answer:

1410

Step-by-step explanation:

Perimeter of base * by height.

94*15

1410

Answer:

5 cups

Step-by-step explanation:

To do this simply, we can just count up how many cups we can buy.

starting balance=

$12.50

after cup 1=

12.5−2.5=$10.00

after cup 2=

10−2.5=$7.50

after cup 3=

7.5−2.5=$5.00

after cup 4=

5−2.5=$2.50

after cup 5=

2.5−2.5=$0.00

From this, we can see that after buying the 5th

cup, the buyer is out of money, so that means that you can buy

5 cups of food to feed the animals before running out of money.

The number of cups is 2 cups

The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of cups be = x

The total amount y = $ 14

The cost of entering the zoo = $ 10

The cost of of feeding the animals per cup = $ 2

So , the equation will be

Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )

Substituting the values in the equation , we get

y = 2x + 10   be equation (1)

On simplifying the equation , we get

14 = 2x + 10

Subtracting 10 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2 cups

Therefore , the value of x is 2 cups

Hence , the number of cups is 2 cups

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Answer:

91 cubes

Step-by-step explanation:

518 cubes are needed to fill the right rectangular prism without gaps or overlaps.

"It is a prism whose all faces are rectangles."

The volume of a rectangular prism with length l, width w and height h is,

V = l × w × h

The volume of a cube having side length 'a' is given by,

[tex]V=a^3[/tex]

For given example,

The dimensions of a right rectangular prism are:

length : [tex]l=2\frac{1}{6}[/tex]

⇒ [tex]l=2.17[/tex] in.

width: [tex]w=1\frac{1}{6}[/tex]

⇒ [tex]w= 1.17[/tex] in.

height : h = 1 in.

So, the volume of a right rectangular prism would be,

⇒ V = l × w × h

⇒ V = 2.17 × 1.17 × 1

⇒ V = 2.5389 cu. in .

Now, the side lengths of a cube : [tex]a=\frac{1}{6}[/tex]

⇒ [tex]a=0.17[/tex]

So, the volume of a cube would be,

⇒ [tex]V=a^3[/tex]

⇒ V = (0.17)^3

⇒ V = 0.0049

Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.

volume of a right rectangular prism = n × volume of a cube

⇒ 2.5389 = n × 0.0049

⇒ 2.5389/0.0049 = n

⇒ n = 518.14

⇒ n ≈ 518

Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps

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Answer:

32

Step-by-step explanation:

2(2.5z − 58 + 43) = 176− 46

5z - 116 + 86 = 130

5z -30 = 130

5z = 160

z = 160/5

z = 32

Step-by-step explanation:

hope it helps.........

Answer:

The answer is 6.

Step-by-step explanation:

All you need to do is turn 33 and 44 into a fraction ([tex]\frac{33}{44}[/tex]). Then you need to simplify it and it's simplest form is [tex]\frac{3}{4}[/tex]. then you up the fraction to [tex]\frac{6}{8}[/tex] and that's your answer.

Answer:

-53/6

Step-by-step explanation:

x + 11 / 6 = -7

Subtract 11/6 from both sides to isolate x.

x = -53/6

Answer:

Sabrinas work

Step-by-step explanation:

5+c+c+c-4

5+3c-4

=3c+1

Answer:

The rate is 609 kilometers per 7 hours.

The unit rate is 609/7 = 87 kilometers per hour.

Step-by-step explanation:

Should be right

Answer:

87 Kilometers per hour    and if by unit rate you mean how many miles they are doing a miniute then it is 1.45 kilometers per hour

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form: f(x) - mx +b

Hope this helps! :)

Answer:

D trust me look

Step-by-step explanation:

Hope This Helped

Answer:

The answer is D

Step-by-step explanation:

8x6 is 48

-3x6=18-

-4x6=24-

-7x6=42-

Answer:

Step-by-step explanation:

Answer:4.2

Step-by-step explanation:

4.19122

Answer:4.2

Step-by-step explanation:

Answer:

1863.5 feets

Step-by-step explanation:

Using Trigonometry :

The distance, d in the attached diagram can be obtained using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 15° = 1800 / d

0.9659258 = 1800 / d

0.9659258 * d = 1800

d = 1800 / 0.9659258

d = 1863.4971 feets

The distance covered to the nearest 10 feet = 1863.5 feets

Answer:

6.123

Step-by-step explanation:

I found it is 6.123

Answer:

11

Step-by-step explanation:

To convert kg to pounds you would multiply 5×2.205 which would equal 11.02500. If we round it would be 11

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

Answer:

936cm^2

Step-by-step explanation:

18×24

+

30×7

+

18×7

+

24×7

Answer:

363cm squared

Step-by-step explanation:

Honestly, I have trouble with this stuff as well.

*keep in mind you need to use PEMDAS

Parenthessees

Exponents

Multiplication

Division

Addition

Subtraction

(24*18+7*18+24*7)/2

without the divisible of 2, this is what the triangular prism would be as a rectangular prism. all you have to do to seperate the two is divide the rectangular prism's value by 2.

Calculation. Formula.

P (1 + r/n)^(nt)

Calculate accrued amount. Principal + Interest. A = P(1 + r)t

Calculate principal amount. Solve for P in terms of A. P = A / (1 + r)t

Calculate principal amount. Solve for P in terms of I. ...

Calculate rate of interest. As a decimal. ...

Calculate rate of interest. As a percent. ...

Calculate time. Solve for t.

The solution for P (Principal amount) in a compound interest Formula is; P = A/(1+ r)^t.

By convention, the formula for calculating the compound interest is;

On this note, it follows that; the principal amount, P can be calculated by dividing both sides of the equation by the expression; (1+ r)^t.

Ultimately, the solution for P is; P = A/(1+ r)^t.

Read more on subject of the formula;

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Answer:

0.46 a minute or 46 cents a minute

Step-by-step explanation:

$3.36 divided by 8 is 0.46 or 46 cents

Answer:

C

Step-by-step explanation:

The question is asking which one is equal to the absolut value of 12. The absolute value of -12 equals 12, so it is the same as the absolute value of 12.

Answer and Step-by-step explanation:

For this equation, we are solving for h.

We are given the equation:

2 + 4h - 1 = 13h

First, we need to Simplify the equation.

2 - 1 + 4h = 13h

1 + 4h = 13h

Now, we need to Subtract 4h from both sides of the equation.

1 + 4h - 4h = 13h - 4h

1 = 9h

Finally, we Divide both sides by 9 to get h.

[tex]\frac{1}{9} = h[/tex]

h is equal to [tex]\frac{1}{9}[/tex].

To check your answer, we plug [tex]\frac{1}{9}[/tex] back into the given equation.

[tex]2 + 4(\frac{1}{9} ) - 1 = 13(\frac{1}{9} )\\\\\\\\2 + \frac{4}{9} -1 = \frac{13}{9} \\\\\\1 = \frac{9}{9} \\\\1 = 1[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

C.

Step-by-step explanation:

It follows the rule

[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]

Therefore that is the reason why it is called "a squared + b squared equals c squared"

Answer:

12.3456790123

Step-by-step explanation:

its hard to explain but you could always use a clculator and no I did not use one. But these are hard I'm a math major

       1 2 . 3 4 5 6 7 9

1 2 9 6 | 1 6 0 0 0 .      

1 2 9 6        

3 0 4 0 .      

2 5 9 2 .      

4 4 8 . 0    

3 8 8 . 8    

5 9 . 2 0    

5 1 . 8 4    

7 . 3 6 0  

6 . 4 8 0  

8 8 0 0  

7 7 7 6  

1 0 2 4 0

9 0 7 2

1 1 6 8 0

1 1 6 6 4

1 6

Answer:

20700

Step-by-step explanation:

3 times 3 times 2300 = 20700