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:

D:  y = 4x^2

Step-by-step explanation:

The graph for which the absolute value of the coefficient of x is largest has the narrowest graph.  That takes us immediately to D:  y = 4x^2.

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Answer:

  57°

Step-by-step explanation:

TD is a diameter, so arc TCD is 180°. Then arc CD is ...

  CD = arc TCD -arc TC

  CD = 180° -123°

  arc CD = 57°

Find the measure of arc CD in P.

Because Arc TC and Arc CD comprise the Arc TCD,

⇒ Arc TC + Arc CD = Arc TCD

Substituting the values given, We get,

⇒ 123° + Arc CD = 180° ( Reason :- Arc TCD is the diameter of circle )

Now, Transposing 123° to Right Hand Side, We get,

⇒ Arc CD = 180° - 123°

⇒ Arc CD = 57°

∴ Arc CD = 57°

Arc CD measures 57°

Answer:

a=82°

Step-by-step explanation:

a+98°=180° since they are supplementary

Answer:

a = 82

Step-by-step explanation:

180 - 98 = a

a = 82

Have a nice day!

Answer:

its 12

2×72=x^2

Step-by-step explanation:

i will sent the Formula in picture

Store A answer:

$0.32

Store A explanation:

You divide the cost by the number of ounces, so 3.81 / 12, which equals 0.3175, which rounded to the hundredths place is $0.32

Store B answer:

$0.37

Store B explanation:

You divide the cost by the number of ounces, so 1.10 / 3, which equals 0.3666667, which rounded to the hundredths place is $0.37.

Overall answer:

A

Overall explanation:

The price per ounce at store A is less then the price per ounce at store B.

Hope this helps!!!

Answer:

0.6820

Step-by-step explanation:

Given data

Angle= 47°

Hence we want to find

cos 47°

From calculator

cos 47°=0.681998

to 4 dp

0.6820

Answer: 0.6820

Step-by-step explanation: I did the quiz

Answer:

120

Step-by-step explanation:

120120120120120120120120120

Using the vertical asymptote concept, it is found that there is not a vertical asymptote at x = 8 because [tex]\lim_{x \rightarrow 8^-} f(x)[/tex] and [tex]\lim_{x \rightarrow 8^+} f(x)[/tex]are not opposites.

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A vertical asymptote of a function happens at a point outside the function domain.

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In this question, the function is:

[tex]f(x) = \frac{8(x - 8)^2}{(x - 8)^2}[/tex]

In a fraction, the denominator cannot be 0, which could lead to a vertical asymptote at x = 8. However, the term with (x - 8) in the denominator can be factored out of the expression, and thus, an equivalent function is:

[tex]f(x) = 8[/tex]

And the limit at x = 8 will be:

[tex]\lim_{x \rightarrow 8^-} f(x) = \lim_{x \rightarrow 8^+} f(x) = 8[/tex]

Not opposite, so the correct option is:

There is not a vertical asymptote at x = 8 because [tex]\lim_{x \rightarrow 8^-} f(x)[/tex] and [tex]\lim_{x \rightarrow 8^+} f(x)[/tex]are not opposites.

A similar question is given at https://brainly.com/question/23535769

Answer:

C

Step-by-step explanation:

A- When one variable increases the other variable decreases. :)

Answer:

Hello! Sorry bots answered to quick for last problems

Answer: D. 64

Answer: b is 5/4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Add the numbers together, then divide that by the amount of numbers

(2 + 7 + 6 + 1 + 9 + 2 + 4 + 9)/8

40/8 = 5

Answer:

one of them

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

Let

x = number of miles on the math course

There are 8 times as many males as females

Number of females = 8x

Total students of the course = number of males + number of females

= x + 8x

= 9x

Total students of the course = 9x

What fraction of the course are female?

Fraction of the course that are females = number of females / Total students of the course

= 8x / 9x

= 8/9

Fraction of the course that are females = 8/9

if i understand the question it's 25

Step-by-step explanation:

6/21 equal 10/10+x

info x is GJ

6x=150

x=25

i used the similarity in trangle formula because he sayed that FG is parelel to HJ

Answer:

Susan initially has 4 blue counters.

If she doubles them, she will have twice that amount, or:

2*4 = 8 blue counters.

Now if she shares them equally with Sam, the total number of blue counters will be divided between the number of people in which the counters are being shared.

The counters are being shared between 2 people, then each one of them gets:

8/2 = 4 counters.

And in this way, Susan has the same number of counters that she had when she started.

Why does this happen?

Because at the start, she has an integer N and multiplies it by 2 to get 2*N

And then she divides that amount by 2

2*N/2 = N

So she is multipliying and dividing by the same number, so N does not change in the process.

Answer:

Median #1: 10.5

Q1 #1: 5.5

Q3 #1: 19

IQR #1: 13.5

Median #2: 14

Q1 #2: 3

Q3 #2: 45

IQR #2: 42

Step-by-step explanation:

Question 1:

First order the data so that they are in order from least to greatest:

2, 5, 6, 8, 13, 16, 22, 24

Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.

2, 5, 6, 8, 13, 16, 22, 24

/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/

In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.

(8+13)/2 = 10.5

To find the first quartile, find the median of all values below the median.

2, 5, 6, 8

/2/, /5/, /6/, /8/

The median of these values is the average of the center two, so

(5+6)/2 = 5.5

The third quartile is the median of all values above the median.

13, 16, 22, 24

/13/, /16/, /22/, /24/

The median of those values is the average of the center two as well, so

(16 + 22)/2 = 19

The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)

Q3 - Q1

19 - 5.5

IQR = 13.5

Question 2:

Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.

1, 3, 7, 14, 21, 45, 63

/1/, /3/, /7/, 14, /21/, /45/, /63/

The center value is 14, so the median is 14.

The first quartile can be found by finding the median of all values below the median.

1, 3, 7

/1/, 3, /7/

The first quartile is 3.

The third quartile can be found by finding the median of all values above the median.

21, 45, 63

/21/, 45, /63/

The third quartile is 45.

The interquartile range can be found using the equation from above.

Q3 - Q1

45 - 3

The interquartile range is 42.

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres

Answer:

3(a+4)

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Your basically saying 48*2 by (48)2

Just multiply and get 96

Answer:

[tex]x = 3.072 * 10^{-5}[/tex]

Step-by-step explanation:

[tex]x = 12*0.2^8[/tex]

[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]

[tex]x = 3.072E-5 = 0.00003072[/tex]

Answer:    

9/20

Step-by-step explanation:        

Therefore, 18/40 simplified to lowest terms is 9/20.

9/20 is the simplest term of 18:40

there is not enough info given to tell how long it would take

Answer:

circumference = 100.48 ft

Step-by-step explanation:

circumference = 32 x π = 100.48 ft

Answer:

100.53 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

distance between ( 3 , 9 ) and ( 3 , - 3 ) = 9 - (-3) = 12 because x is the same for both pts

12 is the diameter of circle so its radius = 12/2 = 6

center is in the middle: ( 3 , (9-3)/2 ) = ( 3, 3 )

so the circle's eqn is

( x - 3 )^2 + ( y - 3 )^2 = 6^2

Answer:

In general, time is not a function of temperature, but this could depend on the problem you're solving. For example, imagine a ball of metal cooling down, and data was given on how long the ball was cooling down and the temperature at the center. Someone could have fit a curve or function to the temperature to show how much time has elapsed when inputting temperature as the independent variable.

Step-by-step explanation:

Answer:

124

Step-by-step explanation: