A company is testing a new protein shake which they claim works better than their existing brand in improving an athlete's performance. The company selected 60 athletes from a training camp database, and divided them into three groups. The ages for the groups were 16 to 20 years, 21 to 25 years, and 26 to 30 years. In each group, half of the subjects were asked to use the new protein shake for a month, and the other half were asked to use the company's existing brand for a month. The subjects were not informed about which protein shake they would be using. Which statements about this study are true? The study uses blocking to reduce variability from known factors. The study does not use a control group. The study uses random sampling. The study uses blocking on the basis of gender. The study uses a repeated measure design to reduce variability from unknown factors.

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————-　★　————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

There are six major trigonometric functions as -

We can write the relation between them as -

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

#SPJ7

Answer:

16x^(2)+40y^(6)

Step-by-step explanation:

Answer:its D 8 -4 = 4

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

https://brainly.com/question/369266

#SPJ2

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

C

Step-by-step explanation:

the answer is c because there is more then one y value for 5

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

Answer:

azesrdftgyuh

Step-by-step explanation:

dxcfvghbj

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

It is -0.465 when you add it to the nearest thousandth

Step-by-step explanation:

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Answer:

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

Answer: Percentage of infected trees =2%

Step-by-step explanation:

Number of Infected trees =7

Number of healthy trees=43

Total number of trees in the orchard=43+7=50

Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100

7/50 x 100 =2%

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

Answer:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

A

Step-by-step explanation:

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add

Answer:

each apple is £ 1.80

Step-by-step explanation:

i first multiplied the cost for one pear by 7, to get how much money was spent on pears out of the 12.70.

Then i took the remaining money and divided it by 2 to get how much each apple costs.

Answer:

1.80

Step-by-step explanation:

1) Price of Pears

[tex]1.30 * 7 = 9.10[/tex]          formating: 1.30*7 = 9.10

2) Price of Apples

[tex]12.70 - 9.10 = 3.60[/tex]          formating: 12.70-9.10 = 3.60

3) Price of Apples/Kg

[tex]\frac{3.60}{2} = 1.80[/tex]          formating: 3.60/2 = 1.80