a pharmaceutical company is interested in comparing four brands of sleep medication to see which brand is best at relieving sleep pattern symptoms, primarily insomnia. the participants are 80 people with sleep pattern symptoms. they are randomly assigned to four groups of 20 participants. each group receives one of the four brands of sleep medication. the improvement in the sleep pattern of the 80 participants is recorded 6 weeks after taking the medication and the average improvement is compared among the four treatment groups. what are the factor(s) and level(s) of this scenario? the factor is the . the levels are the

Step-by-step explanation:

Answer: D.) g(x) = 6(3)^{-x}g(x)=6(3)

−x

Step-by-step explanation: We are given an exponential function f(x).

g(x) is an exponential function that is being reflected across y-axis.

According to rules of transformations y=f(-x).

That is variable x is being multiplied by a negative sign.

In the given options g(x) = 6(3)^{-x}g(x)=6(3)

−x

, the variable x is being multiplied by a negative sign.

Therefore, correct option is D option.

The function represents the reflection is g(x) = 6 (3[tex])^{-x[/tex].

A function is a type of rule that produces one output for a single input.

a mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependent variable (the dependent variable).

We are given an exponential function f(x).

Also, g(x) is an exponential function that is being reflected across y-axis.

Here the rule of transformations y=f(-x).

The x-coordinate and y-coordinate swap places and the signs if you deflect across the line y = -x.

Reflections: By multiplying by -1, a function can be mirrored about an axis.

So, the function after reflection is

g(x) = 6 (3[tex])^{-x[/tex]

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The function of the resulting transformation is f(x) = -x - 3 + 6.

Given:

The graph f (x) = x is shifted down 6 and to the right 3 and reflected over the x-axis.

The  first transformation:

shifted down 6 units

f(x) = x - 6

second transformation:

x = x + 3.

f(x) = x + 3 - 6

Third transformation:

reflected over the x-axis.

f(x) = -1(x+3-6)

f(x) = -x - 3 + 6.

Therefore the function of the resulting transformation is f(x) = -x - 3 + 6.

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Answer:

0.5

Step-by-step explanation:

If 50% of £2 is £1

and 25% of £1 is 25p

we can workout that 25% of £2 is 0.5

Answer:

No, here's why...

Step-by-step explanation:

Multiply 9 by 4.50

you get $40.50

40.50<48.75

she will not be able to but the bicycle

The values of the function when x = 3 are -10. -1 and -3, respectively

Function 1

The equation of the function is given as

y = -4x + 2

We have the value of x to be 3

So, we have

y = -4 x 3 + 2

Evaluate

y = -10

Function 2

The graph represents the notation of the function

On the graph, we have the value of y to be -1, when x = 3

This means that

y = -1

Function 3

The table represents the notation of the function

On the table, we have the value of y to be -3, when x = 3

This means that

y = -3

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Answer:

Step-by-step explanation:

Statements:                                        Reasons:

RO bisects MP                                    Given

MO is congruent to PO                      Definition of a bisector

RO is congruent to RO                       Reflexive property

That is all i know so far and what I have learned. I'm in 9th grade so i don't know much. Sorry! Wish i could help more

Answer:

it would be 69 bhejejejirirooddsskkskskakakakzkzjajbhshdhdjdjeiejeie

y = 7c -  34 is slop intercept form of equation .

What is an explanation of the slope-intercept form?

slop intercept form of equation

             y = mx + c

Y+6=7(c-4)

y + 6 = 7c - 28

 y = 7c - 28 - 6

  y = 7c -  34

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The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

From the attached graph of the printing rate of Printer A, we can see that;

At 1 minute, number of pages printed = 15

At 2 minutes, number of pages printed = 30 minutes

At 3 minutes, number of pages printed = 45

Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes

Since printer B can print 25 pages per minute, we can conclude that;

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

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Complete question is;

The graph shows the printing rate of printer A. Printer B can print at the rate of 25 pages per minute. How does the printing rate of printer B compare to the printing rate for printer A.

The way to calculate the percentage change will be:

Step 1: Take one value and subtract it from another.

Step 2: Subtract the error from the exact or ideal value (not your experimental or measured value). This will result in a decimal number.

Step 3: Multiply the decimal number by 100 to get the percentage.

Step 4: To report your percent error value, use the percent or % symbol.

The difference between an approximate or measured value and an exact or known value is expressed as a percentage in percent error.

It is a scientific term that describes the difference between a measured or experimental value and a true or exact value.

It's important to divide the new value by the old value to get the percentage change.

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The parabola with the equation (x-4)²=-15(y+18) opens downwards.

The equation of the parabola is (x-4)²=-15(y+18)

From the equation we can infer that the parabola has the vertex at (4,-18) and the axis of symmetry is the line x = 4 .

(x-4)²=-15(y+18)

or, x² -8x + 16 = -15y -270

or, 15y = -x² + 8x - 286

The equation is of the general form : y = ax² + bx + c therefore the parabola will have two x values for every y value. So either the parabola will open upwards or downwards.

Now the general form of the parabola we find that the coefficient of the highest power of x is -1 (negative value)

Therefore the graph of the parabola opens downwards as illustrated by the graph of the parabola attached below.

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Answer:

-25/21

Step-by-step explanation:

Slope Formula:

m=(y1-y2)/(x1-x2) where m is the slope

m=(-10 - 15)/(6 - (-15))

m=(-(10+15)/(6+15))

m=-25/21

The value of a is 5/19

The value of b is -160/19

The value of c is 960/19

Given,

The quadratic function formula;

p(t) = at² + bt + c

We have to interpret quadratic graphs;

Thus, the equation is now;

p(t) = at² + bt + 0

p(t) = at² + bt

From the graph, we see that when x = 8, y = 0. Thus;

p(8) = a(8²) + 8b + c = 0

64a + 8b + c = 0   ------(1)

From the graph, we know that the axis of symmetry is;

x = -b/2a

Thus;

16 = -b/2a

b = -32a  -----(2)

From the graph, we see that when x = 5, y = 15. Thus;

p(8) = a(5²) + 5b + c = 0

25a + 5b + c = 15   ------(3)

Put -32a for b in eq 1 and 3 to get;

64a + 8(-32a) + c = 0  

-192a + c = 0   ------(4)

25a + 5(-32a) + c = 15

-135a + c = 15   ------(5)

Subtract eq 4 from eq 5 to get;

192a - 135a = 15

57a = 15

a = 15/57

a = 5/19

Thus;

b = -32(5/19) = -160/19

-135(5/19) + c = 15

15 + (675/19) = c

c = 960/19

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Answer : The chance that the Islanders will win n games out of 6 is:

0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)So, the chance of winning 4 games is 0.205605

the chance of winning 5 games is 0.072932

the chance of winning all 6 games is 0.010779

Adding these together we get 0.289316

Rounding to the nearest thousandth we get 0.289 (or 28.9%)891 viewsRelated questions (More answers below)

Step-by-step explanation:

Answer:

4y + 4

Step-by-step explanation:

Place similar together: 2y - 5y + 6y + 1y + 7 -3
Solve: (2-5+6+1)y + 4
           4y + 4

Jordan worked 9 hours as lifeguarding

Jordan worked 6 hours walking dog

given that

Jordan making $13 per hour lifeguarding and $10 per hour walking the dog

last week Jordan earned a total of $177

let x be the number of hours  she worked walking the dog

let y be the number of hours she  worked as a lifeguard

13y+10x=177 -------- (1)

worked 3 more hour lifeguarding than an hour walking dog

y = 3 + x --------(2)

substitute equation 2 in 1

13(3+x) +10x =177

39+13x+10x = 177

39 + 23x = 177

23x = 177 -39

23x = 138

x = 138/23

x = 6

now substitute x=6 in equation 2

y = 3 + 6

y = 9

9 number of hours he worked lifeguarding last week

6 number of hours he worked walking dog last week

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Answer:

220

Step-by-step explanation:

hope it helps

The required when two classes are combined, the average final exam score is approximately 87.

Number of students in the first class = 20

The average score of the first class = 92

Number of students in the second class = 25

The average score of the second class = 83

Calculate the total number of students:

Total number of students = Number of students in the first class + Number of students in the second class

Total number of students = 20 + 25 = 45

Calculate the total score for both classes:

Total score for the first class = Number of students in the first class * Average score of the first class

Total score for the first class = 20 * 92 = 1840

Total score for the second class = Number of students in the second class * Average score of the second class

Total score for the second class = 25 * 83 = 2075

Calculate the combined total score:

Combined total score = Total score for the first class + Total score for the second class

Combined total score = 1840 + 2075 = 3915

Calculate the average final exam score when the two classes are combined:

Average final exam score = Combined total score / Total number of students

Average final exam score = 3915 / 45

Average final exam score = 87

Therefore, when the two classes are combined, the average final exam score is approximately 87.

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Answer:

Step-by-step explanation:

[tex]\pmb {sin(22)^o=\cfrac{x}{35} }[/tex]

[tex]\pmb {35sin(22)=w}[/tex]

[tex]\pmb {w=13.11}[/tex]

_________________

Hope this helps!

Have a great day! :)

The value of 12x is -60, if x = -5.

Given expression is 12x, if x = -5

To solve the expression we have to compute the x value in the given expression:

= 12x

= 12(-5)

Now we have to simplify 12(-5) by multiplying negatives

= -12*5

Multiplying an odd number of negative numbers gives a negative number.

So, Now we have to multiply the constants, that equals to

= -60

Hence the answer is the value of 12x is -60, if x = -5.

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The amount remaining on her after one year is $5000  .

In the question ,

it is given that ,

amount taken by Susan from her father = $8000 ,

interest rate charged by Susan father = 0%

amount that Susan will repay her loan per month = $250 .

So , the amount that Susan will repay in 12 months = 12×250

= $3000

So , in 1 year Susan will pay $3000 ,

the amount of loan remaining after 1 year = (loan amount) - (amount paid in 1 year)

the amount of loan remaining after 1 year = 8000 - 3000

= $5000

Therefore , The amount remaining on her after one year is $5000  .

The given question is incomplete , the complete question is

Susan Asked her father for a no-interest loan of $8,000 so she could purchase a used car. She told her father that she would repay the loan at a rate of $250 per month . How much will be remaining on her loan after one year ?

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Answer:

Step-by-step explanation:

53.6 oz + 4.7 oz

= 58.3 oz in total

Answer:

58.3 ounces

Step-by-step explanation:

53.6 + 4.7 = 58.3

1) Based on a system of equations, the amount Kate would pay for her dinner at either of the two different restaurants is $33.

2) Based on the same system of equations, the weight of the lobster is 2 pounds.

A system of equations indicates two or more equations solved concurrently, at the same time, or simultaneously.

A system of equations is also described as simultaneous equations.

                                     First Restaurant     Second Restaurant

Meal charge                            $27                        $25

Lobster per pound                   $3                           $4

Let the weight of the lobster per pound = x

The total cost of Kate's dinner at the first restaurant = 27 + 3x

The total cost of Kate's dinner at the second restaurant = 25 + 4x

27 + 3x = 25 + 4x

2 = x

First Restaurant = 27 + 3x

= 27 + 3(2)

= $33

Second Restaurant = 25 + 4x

= 25 + 4(2)

= $33

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The following data is gotten from comparing the graph of  f(x) = 3x + 5 to graph of g(x) = 3(0.1x) + 5

Both has y intercept of 5

g(x) is a vertical compression of f(x) by a factor of 0.1

The graph of the both linear equation is plotted and attached

solving for y intercept by substituting x = 0 into f(x) = 3x + 5 shows that

f(x) =  5

solving for y intercept by substituting x = 0 into g(x) = 3(0.1x) + 5 shows that

g(x) =  5

examining the both equations, it can show that the slope of f(x) is  multiplied by a factor 0.1 this results to vertical shrink

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The slope of the line y = 5x + 4 is 5.

Slope i.e. m = 5.

Given, a line of equation

y = 5x + 4

We have to find the slope of the given line,

Now, as we know the slope-intercept form of a line i.e.

y = mx + c

where, m is the slope of the line and c is the y-intercept of the line.

So, using the same form in the line, we get

y = 5x + 4

the slope of the line is 5.

Hence, the slope of the line y = 5x + 4 is 5.

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The correct formula for the margin of error in the interval estimation of p is Za/2 √p(1-p)/n.

Interval estimation:

Interval estimation refers the evaluation of a parameter—for example, the mean (average)—of a population by computing an interval, or range of values, within which the parameter is most likely to be located.

Given,

Here we need to find the correct formula for the margin of error in the interval estimation of p.

In order to find the correct formula for the margin of error, we have to know the definition of the margin of error,

Margin of error states that "a statistical measurement that accounts for the difference between actual and projected results in a random survey sample."

According to this definition, we have identified that the correct formula, for the margin of error in the interval estimation P is written as,

=> Za/2 √p(1-p)/n.

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The equation of the function is y =  x - [tex]1\frac{1}{3}[/tex]

The first point = (-6, [tex]-7\frac{1}{3}[/tex])

The second point = (-4, [tex]-5\frac{1}{3}[/tex])

Convert the mixed fraction to the simple fraction

The first point = (-6, -22/3)

The second point = (-4, -16/3)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

= (-16/3 - (-22/3) / (-4 - (-6)

= 2 / 2

= 1

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

y - (-22/3) = 1(x - (-6))

y + 22/3 = x + 6

y = x+ 6 - 22/3

y = x+ -4/3

y = x - 4/3

Convert the simple fraction to mixed fraction

y =  x - [tex]1\frac{1}{3}[/tex]

Hence, the equation of the function is y =  x - [tex]1\frac{1}{3}[/tex]

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The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S  .

In the question ,

it is given that

amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,

let the amount of dough required for small pizza = S

let the amount of dough required for large pizza = L

let the amount of dough required for medium pizza = M

So , M [tex]=[/tex] (3/2)S

and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,

that is

L [tex]=[/tex] (5/2)S

amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,

that is L [tex]=[/tex] M [tex]+[/tex] S .

Substituting the value of L and S , we get

(5/2)S [tex]=[/tex] (3/2)S + S

We have a linear equation that is true for all S , there is no unique solution to this equation .

Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .

The given question is incomplete , the complete question is

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .

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