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A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.

Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.

Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)

Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)

Part C: Could your design be double-blind? Explain. (2 points)

Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

Answer:

7x² + 5x - 9

Step-by-step explanation:

(9x + 1) - (- 7x² + 4x + 10) ← distribute parenthesis by - 1

= 9x + 1 + 7x² - 4x - 10 ← collect like terms

= 7x² + 5x - 9

By understanding and applying the concepts of dilation and quadratic functions, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

In this questions we know two quadratic equations of the form y = a · x². f(x) is known as the canonical function as a = 1 and g(x) is the consequence of dilating f(x) vertically by a factor of 5. Now we proceed to present graphically between the two functions.

In a nutshell, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

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Answer:

(5,2)

Maximum

5

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt{\:Coordinates of vertex = (5,2)}[/tex]

[tex]\texttt{The graph has a maximum} [/tex]

[tex]\tt \: Axis\:\: of \:\; symmetry : x = 5\ [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Coordinate of vertex is the point where there's a unique (only one) value of y for x :

[tex]\qquad \tt \rightarrow \: (5,2)[/tex]

Since it's a downward parabola, it doesn't have defined minima, as it's value reach [ - infinity ]

and hence, it has a maximum, at the vertex.

Axis of symmetry is the line that divides the parabola into two equal regions that are mirror images of each other.

it is the line passing through vertex and parallel to y - axis.

[tex]\qquad \tt \rightarrow \: x = 5[/tex]

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The polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved. Example, x² + 3x + 5.

As per the given informations, the first polynomial is 2x² + 2x + 1.

The second polynomial equal is 5x² + 4x + 6.

Now, the sum of the two polynomial can be written as,

Sum = 5x² + 4x + 6 + 2x² + 2x + 1 = 7x² + 6x + 7

Therefore, the polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.

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Answer:

0,5                    b

Step-by-step explanation:

The value of g(-3)=-9

The function is a relation between two sets X and Y which are one-one or many-one. Here set X is called the domain and set Y is called codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

g(x)=2x+3

to get the value of g(x) at x=-3 put the value of x in the function,

g(-3)= 2(-3)+3 = -3

Therefore the value of g(-3) is -3.

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Step-by-step explanation:

[tex] = 3 \sqrt{6} [/tex]

[tex] = \sqrt{ {3}^{2}.6 } [/tex]

[tex] = \sqrt{9.6} [/tex]

[tex] = \sqrt{54} [/tex]

The answer is A.

Answer:

The prism volume formula is B*h B (area of one end) =0.5*1000*566 = 283,000 mm 2 (area of a triangle) H (length/height of prism) = 1000 mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any prism volume is equal to the area of the base (B) multiplied by the height of prism (H)  

V = BH

Now, to find the area of the base you need this formula : B = 1/2 h(b1+b2), then multiply by the height of the prism.

The nature of a graph, which has an even degree and a positive leading coefficient will be up left, up right position

The nature of the graphical representation of a quadratic equation with an even degree and a positive leading coefficient will give a parabola curve.

Given that we have a function f(x) = an even degree and a positive leading coefficient. i.e.

The domain of this function varies from -∞ < x < ∞ and the parabolic curve will be positioned on the upward left and upward right x-axis.

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The statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?

It should be noted that statistical or research questions are the questions that an individual seeks answers to.

In this case, the statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?

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Answer: 2. How many pushups can you do

I got 100% on my online homework and here is proof.

Please mark me brainliest  : D

Using linear function concepts, it is found that a set of ordered pairs with a slope of [tex]-\frac{1}{2}[/tex] is perpendicular to the given set.

A linear function is modeled by:

y = mx + b

In which:

When two sets are perpendicular, the multiplication of their slopes is -1. The set (1,8) and (2,10) has slope given by:

m = (10 - 8)/(2-1) = 2.

Then, for the perpendicular set:

2m = -1

m = -1/2.

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Step-by-step explanation:

solution:

here,

x/2+4

= 6/2+4 ( x = 6 )

= 3+4

= 7

Answer:

7

Step-by-step explanation:

x/2 + 4

=> 6/2 + 4 (x=6)

=> 3 + 4

=> 7

Answer:

Whether you're buying a new car or a used car, or even leasing a car, you'll have to pay state sales tax. Nearly every state has a sales tax, ranging from under 3 percent to over 8 percent. The national average in the United States is 5.75 percent.

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The total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The table is in the picture, please refer to the picture.

Tony needs to purchase 3,600 oz of vegetable oil for his catering business.

Lowest unit price = 26 cents per ounce

Total price at this rate = 3600×26 = 93600 cents = $936

The highest unit price = 34 cents per ounce

Total price at this rate = 3600×34 = 122400 cents = $1224

Total saving he purchases the container that has the lowest unit price:

= 1224 - 936

= $288

Thus, the total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.

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Answer:

the answer is (3,4) is the solution to line A but to not line B

Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.

A linear function is modeled by:

y = mx + b

In which:

Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:

C(n) = 1200 + 45n.

Now, we have to solve for n when C(n) = 4800, hence:

1200 + 45n = 4800

45n = 3600

n = 3600/45

n = 80.

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The following are the appropriate notations is P(EIF)=P(E n F) / P(F).

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

As, from the property of conditional probability

P(EIF)=P(E n F) / P(F)

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All potential rational roots of f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3, going by the rational rots theorem are {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}.

The rational root theorem suggests that for a polynomial function

f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x¹ + a₀, all potential rational roots can be given by the formula p/q, where p is the set of all factors of ±a₀ and q is the set of all factors of ±aₙ.

In the question, we are asked to find the potential rational roots of

f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3.

Comparing the given polynomial function with the standard polynomial function f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x¹ + a₀, we can say aₙ = 15, and a₀ = 3.

By rational root theorem, we know that all potential rational roots can be given by the formula p/q, where p is the set of all factors of ±a₀ and q is the set of all factors of ±aₙ.

Therefore, we can say that p = {factors of ±3} and q = {factors of ±15},

or, p = {±1, ±3}, q = {±1, ±3, ±5, ±15}.

Now, we can write all potential roots by calculating p/q.

p/q = {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}

Therefore, all potential rational roots of f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3, going by the rational roots theorem are {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}.

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Answer:

(a) DE = 7.5 cm

(b) Area of ΔABE = 9.33 cm2

Step-by-step explanation:

(a)   [tex]\frac{AE}{DE} =\frac{BE}{CE}[/tex]

     [tex]\frac{5}{DE} =\frac{4}{6}[/tex]

    [tex]DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5[/tex]

(b) measurements of similar triangles have a ratio of 2/3

The ratio between areas is

[tex](\frac{2}{3} )^{2} =\frac{4}{9}[/tex]

If the area of ΔCDE = 21

Then the área of ΔABE is:

[tex]21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33[/tex]

Hope this helps

Answer:

y = -x +2

Step-by-step explanation:

Equation of a line in slope-intercept form :

   y = mx + b    where m = slope and 'b' is the y-axis intercept

y = -x-2    is in this form.....  slope m = -1      b = -2

   the parallel line will have the same slope = -1 and will look like

        y = -x + b

       to calculate the value of 'b' for this line, substitute in the point given:

             -2 = - (4) + b      shows b = 2

  so your line becomes   y = -x + 2

Answer:

  y =-x + 2

Step-by-step explanation:

    Parallel lines have same slope.

     y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

            -2 = -4 + b

          -2 + 4 = b

              [tex]\sf \boxed{b = 2}[/tex]

Equation of the required line:

            [tex]\sf \boxed{\bf y = -x + 2}[/tex]

Therefore, the incorrect statement is option B, which states that 28 pounds is equal to 44 dollars. The correct value should be 42 dollars.

To determine which statement is incorrect, we can use the given conversion rate of 2 pounds being equal to 3 dollars and evaluate each option accordingly:

A. 11 pounds is 16.50 dollars:

To check this, we can multiply 11 pounds by the conversion rate:

11 pounds * (3 dollars / 2 pounds) = 16.50 dollars

This statement is correct.

B. 28 pounds is 44 dollars:

Using the same calculation:

28 pounds * (3 dollars / 2 pounds) = 42 dollars

This statement is incorrect because 28 pounds would actually be equal to 42 dollars, not 44 dollars.

C. 10 pounds is 15 dollars:

Again, applying the conversion rate:

10 pounds * (3 dollars / 2 pounds) = 15 dollars

This statement is correct.

D. 23 pounds is 34.50 dollars:

Using the conversion rate:

23 pounds * (3 dollars / 2 pounds) = 34.50 dollars

This statement is correct.

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The correct answer is option D which is the function is even because of its symmetry about the y-axis.

The function which remains unchanged when the negative value of the variable is filled in the function is called an even function and this function is symmetric about the y-axis.

Given function:-

f(x) = 3x⁴+2x²

Now put the value x = -x in the function

f(-x) = 3( -x⁴)+2(-x²)

f(-x) = 3x⁴ + 2x²

f(-x) = f(x)

here we can see that when we put the value of negative x the function remains unchanged.

Therefore the correct answer is option D which is the function is even because of its symmetry about the y-axis.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

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Answer:

n = 8

Step-by-step explanation:

13n-6 = 98

Solution:

Hence the value of n is 8.

13n - 6 = 98

13n = 98 + 6

13n = 104

n = 104/13

n = 8

For this question, I will be writing 'csc' instead of 'cosec'

[tex]4\sin x-\csc x=\cot x\\\\4\sin x-\frac{1}{\sin x}=\frac{\cos x}{\sin x}\\\\4\sin^{2} x-1=\cos x\\\\4(1-\cos^{2} x)-1=\cos x\\\\4-4\cos^{2} x-1-\cos x=0\\\\4\cos^{2} x+\cos x-3=0\\\\ (4\cos x-3)(\cos x+1)=0\\\\\cos x=\frac{3}{4}, 1\\\\\therefore \boxed{\cos^{-1} \left(\frac{3}{4} \right), 180^{\circ}, 360^{\circ}-\cos^{-1} \left(\frac{3}{4} \right)}[/tex]

The value of a₄₃ is 3.

Matrices is a plural form of a matrix, which is a rectangular array or a table where numbers or elements are arranged in rows and columns.

Here,  aₓₙ is the element of matrix in which x represents the number of row and n represents the number of column of element.

So, a₄₃ means element from 4th row and 3rd column.

4th row  =  [2  9   3   7]

3rd column = [tex]\left[\begin{array}{ccc}8\\6\\1\\3\end{array}\right][/tex]

the common value between them is 3.

Thus, the value of a₄₃ is 3.

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Step-by-step explanation:

9, 430, 049 = 9 million four hundred thirty thousand and fourtynine....

[tex]...[/tex] :)..

Answer:

Vans - 7

Cars - 15

Step-by-step explanation:

$200 * 7 = $1400

$100 * 15 = $1500

$1400 + $1500 = $2900