true or false: the p-value is the probability of obtaining a test statistic as extreme or more extreme than observed assuming the null hypothesis is true.

Answers

Answer 1

The given statement is false.

What is statistic?

Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods.

In light of the question -

The given statement is false: A p-value is the probability of obtaining a sample statistic less extreme than the one observed under the assumption that the statement in the null hypothesis is true.

learn more about statistics here :

brainly.com/question/23091366

#SPJ4


Related Questions

If P = (-1,-1) and Q = (5, 3) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - 2)² + (y - [?])² = [ ]

Answers

Answer:

The equation of the circle is (x-2)^2+(y-1)^2=13

Step-by-step explanation:

true or false, we can compare a model to before using a transformation on x or y to a model after using a transformation by using the corresponding values of sse.

Answers

True, we can compare a model before using a transformation on x or y to a mode before using a transformation by using the corresponding values of the sum of squares error SSE.

      For example, to compare two models, one of which has a transformation on the outcome of the variable, that is:

First model[tex]y=x+z[/tex]

Second model:[tex]y^{1/k} =x+z[/tex]

The best logical approach might be to look at the comparative performance obviously with predicted transformed values back-transformed and then look at the models sum of squares error of these predictions. It has to be random predictions and comparisons because the error distributions are also transformed.

To know more about SSE sum of squares error:

https://brainly.com/question/28318354

#SPJ4

     

help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

By evaluating the exponential equation we will see that:

a) On 2001 the population is 150.38 thousands.

b) on 2018 the population is 409.13 thousands.

How to estimate the population in 2001?

We know that the population (in thousands) x years after 1998 is given by the exponential equation:

y = 123.1*(1.069)^x

a) We want to find the population in 2001, this is 3 years after 1998, so x = 3, replacing that we will get:

y = 123.1*(1.069)^3 = 150.38

So the population on 2001 will be 150.38 thousands.

b) If the equation still works for 2018, then we can use x = 20 (2018 is 20 years after 1998) then the population will be:

y = 123.1*(1.069)^18 = 409.13

So the population is 409.13 thousands.

Learn more about exponential equations:

https://brainly.com/question/11832081

#SPJ1

Three runners are training for a marathon. one day, they all run about ten miles, each at their own constant speed. which of the three runners has the fastest pace?

Answers

You did not post enough information.

a sphere is partially filled with air. if the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is the rate, in feet per second, at which the radius of the sphere is changing when the radius is 6 feet?

Answers

1.2113 ft/s is the speed at which the radius of the sphere is changing when the radius is 6 feet .

What is mensuration ?

Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures.

Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.

Calculation

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

 A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

dV/dt = A·dr/dt

548 ft³/s = (144π ft²)·dr/dt

dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

learn more about mensuration here :

brainly.com/question/14312097

#SPJ4

order these from lease to gratest, 1/3, 0.3, 33%,
8/25, 33.6%

Answers

Rearranging [1/3, 0.3, 33%, 8/25, 33.6%] in the ascending order of magnitude, we get, [33.6%, (1/3), 33%, (8/25), 0.3].

As per the question statement, we are provided with a set of values       [1/3, 0.3, 33%, 8/25, 33.6%],

And we are required to rearrange the above mentioned set in the ascending order of magnitude.

To answer this question, we will have to convert all the values into fractions with a common denominator, and then arrange the fractions in an ascending order of magnitude of their numerators to obtain our desired answer, that is,

[(1/3) = 0.33333333...]

[(0.3) = (3/10) = (30/100)],

[(33%) = (33/100) = 0.330],

[(8/25) = (32/100) = 0.320]

And, [33.6% = (33.6/100) = 0.336]

Since (0.336 > 0.333 > 0.330 > 0.320 > 0.300),

Therefore, rearranging [1/3, 0.3, 33%, 8/25, 33.6%] in the ascending order of magnitude, we get, [33.6%, (1/3), 33%, (8/25), 0.3]

To learn more about Ascending Order, click on the link below.

https://brainly.com/question/15202532

#SPJ1

What is mean by amplitude in maths?.

Answers

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.

What is amplitude?

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient. The height between the center line and the peak is known as the amplitude (or to the trough). Alternatively, we might multiply the height from highest to lowest places by 2. The Phase Shift is the horizontal displacement of the function from its initial point.

To know more about amplitude,

https://brainly.com/question/8662436

#SPJ4

How much pure acid is in 780 milliliters of a 18​% ​solution?

Answers

The amount of pure acid present in 780 milliliters of a 18% solution is 140.4 milliliter .

In the question ,

it is given that

the amount of solution = 780 milliliter

we need to find the amount of pure acid in the solution .

amount of pure acid in the solution can be calculated using the formula ,

amount of pure acid = 18% of 780 milliliter

the term of represents, multiplication ,

So , the amount of pure acid = 18% × 780

= 0.18 × 780

= 140.4 milliliter

Therefore , The amount of pure acid present in 780 milliliters of a 18% solution is 140.4 milliliter .

Learn more about Percent here

https://brainly.com/question/16733361

#SPJ1


Hsu-Mel wants to save $9,000 for a down payment on a car. To the nearest dollar, how much will she need to invest in an account now with 7.4% APR, compounded daily, in order to reach her goal in
3 years ?

Answers

The amount of money (principal)  that Hsu-Mel would need to invest in an account now with 7.4% APR, compounded daily, in order to reach her goal in 3 years is $7206.24.

How to determine the principal amount?

Mathematically, compound interest can be calculated by using this formula:

A(t) = P(1 + r/n)^{nt}

Where:

A represents the future value.P represents the principal.r represents the interest rate.n represents the number of times compounded.T represents the time measured in years.

Note: The annual percentage interest (APR) rate would be divided by 365 since it is compounded daily.

Substituting the given parameters into the formula, we have;

9,000 = P(1 + 0.074/265)^{365 × 3}

9,000 = P(1.00023)^{1095}

9,000 = P(1.2489)

Principal, P = 9000/1.2489

Principal, P = $7206.24.

Read more on interest rate here: https://brainly.com/question/26343258

#SPJ1

A yield sign has equal side lengths and a perimeter of 145 cm. How long is each side?

Answers

Answer:

Perimeter is the sum of length of the sides used to made the given figure. The length of each side of the yield sign is 78 centimeters.

Step-by-step explanation:

For each direct variation, find the constant of variation. Then find the value of y when x = -0.5.

21. y =4 when x = 0.5
22. y =2 when x = 3

Answers

When x = -0.5, the value of y is -0.33. When y varies directly with respect to x, the equation y = kx is used. where k is the constant of proportionality

What is meant by variation?A variation is a relationship between one set of values for one variable and another set of values for another variable. Variation in direct. If m is a nonzero constant and b = 0, then the function y = mx (often written y = kx) is a direct variation of the equation y = mx + b. Variation is defined as differences in an individual's genetic constituents that result in differences in the physical appearance of individuals living in a population. Individuals differ in their physical appearance, fertility, metabolism, and mode of reproduction.The average of the squared deviations from the mean is defined as variance.

Therefore,

When X equals 3, Y equals 2.

We solve for k by plugging in 3 for x and 2 for y.

y = kx \s 2 = k(3) (3)

Subtract 3 from both sides.

2/3 = k

Now we plug in 2/3 for k

y = 2/3 x

Given x = -0.5  simplifying we get,

y = 2/3 (-0.5)

y = -0.33

Hence, the value of y is -0.33 when x = -0.5

To learn more about 'variation' refer to

brainly.com/question/11578472

#SPJ13

13. (03. 02 LC)Wren earns an average weekly net pay of $896. 0. Which compound inequality correctly shows the amount of money she can spend with a monthly budget for housing between 25% and 354701point)O $970. 67 shs $1,358. 93O $970. 67 2h $1,358. 93O $224. 00<<$313. 60O $224. 00 >h> $313. 60

Answers

The correct compound inequality to the amount of money Wren can spend with a monthly budget for housing between 25% and 35% will be:

224.0< h< 313.60

Given that:

wren own an average weekly net pay $ 896.00

and, Wren can spend with a monthly budget for housing between 25% and 35%.

Now, Spend money for housing by 25% = 25% of $896.00

= 25÷100 × 896

= 0.25 ×896

= $ 224.00

Again, spend money for housing by

35%=  35% of 896                                                            

=35÷100 × 896

= 0.35 × 896

= $ 313.60

Learn more about Inequality here:

https://brainly.com/question/19003099

#SPJ4

Simplify the expression to a + bi form:

(-4+9i)²


Explain in layman's terms for brainiest please

Answers

The simplified form of the expression ( -4 + 9i )² such that it takes the form a + bi is; -65 - 72i.

What is the simplified form of the expression?

It follows from the task content that the simplified form of the expression is to be determined.

Hence, since the given expression is; ( -4 + 9i )², we have;

( -4 + 9i ) ( -4 + 9i )

= 16 -36i - 36i + 81i²

However, recall that the i² = -1 which follows from the fact that i = √-1.

On this note, the expression can be written as;

= 16 - 72i + 81 (-1)

= 16 - 72i - 81

= -65 - 72i.

Hence, the required simplified form of the expression is; -65 - 72i.

Read more on complex numbers;

https://brainly.com/question/10662770

#SPJ1

find the gradint of the given line;
y = 4x + 3

y= -8x + 6

4y = 8x +3

y+x=8

y -x = 5

4y + 5x = 30

Answers

Answer:

See below

Step-by-step explanation:

By "gradient of the given line" the question is asking to find the slope of the line.  If we rearrange each equation inrto slope-intercept format of y = mx + b, we can find the slope easily, since m is the slope (b is the y-intercept).

y = 4x + 3

 The slope is 4.

y= -8x + 6

  The slope is -8

4y = 8x +3

y = 2x + (3/4)   Rearrange to y = mx + b

  The slope is 2

y+x=8

y = -1x + 8       Rearrange

    The slope is -1

y -x = 5

      y = x + 5   Rearrange

      The slope is 1

4y + 5x = 30

       y = -(5/4)x + (30/4)

       The slope is -(5/4)

What is the value of x?

X = []°

Answers

It’s a value that is not known yet

Answer:

x=80 degrees

Step-by-step explanation:

all 3 angles of a triangles equals 180

We add the 2 angles 70+30=100

Now we subtract from 180

180-100=80

x=80 degrees

Hopes this helps please mark brainliest

Nadia i a tockbroker. She earn ​13% commiion each week. Lat​ week, he old ​$7,500 worth of tock. How much did he make lat week in​ commiion? If he average that ame amount each​ week, how much did he make in commiion in​ 2011?

Answers

Nadia made $975 last week and $50, 700 in 2011.

The amount earned last week = Percentage of comission × earnings

The amount earned last week = 13% × 7500

The amount earned last week = 13 × 75

Performing multiplication on Right Hand Side of the equation

The amount earned last week = $975

As per the known fact, 1 year has 52 weeks. So, the commission earned in 2011 = 52 × 975

Performing multiplication on Right Hand Side of the equation

The commission earned in 2011 = $50, 700

Thus, the amount earned last week is $975 and comission earned in 2011 is $50, 700.

Learn more about percentage -

https://brainly.com/question/24877689

#SPJ4

I need help on question 1 and 2. I really am stuck on it and it will be a lot of help if you help me. Thank you! :)

Answers

1st question is she has 18 pairs of underwear cause she has 23 now and she threw 5 away and to be honest i don’t know the second answer
1. 23-5=18

She has a total of 23 underwear but throws away 5

2. 3-2=1

There were 3 poops but he got rid of two which means there is one left

a rectangle has one side of 8 cm. how fast is the area of the rectangle changing at the instant when the other side is 13 cm and increasing at 2 cm per minute?

Answers

30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute.

Area of a Rectangle is what?

Rectangle's area is equal to its length times its width.

Given,

A rectangle has a 10 cm side.

We must determine how quickly the rectangle's area changes while one side is 12 cm and growing at a rate of 3 cm per minute.The formula for this is A=10x.Now make a distinction based on t.10 dx/dt = dA/dtat a rate of 3 centimeters per minutedx/dt=3dA/dt=10 (3) (3)dA/dt=30

Consequently, 30 is the area of the rectangle that changes at the instant when the other side is 12 cm and growing at a rate of 3 cm per minute.

To learn more on Rectangle click here:

brainly.com/question/20693059

#SPJ4

pls send the correct answer

Answers

Answer:

The answer to your problem is 540

Step-by-step explanation:

The answer is 180 because all triangles have 3 sides and a pentagon is 3 triangles formed as one so you need to do 180 x 3 which is 540

what is 5.37 divided by 3 equal explain your answer

Answers

5.37 divided by 3 equal to 1.79

How to divide 5.37 by 3

The calculation can be done simply by calculator however to so it manually the decimal is converted to fraction

converting to fraction

5.37 = 537 / 100

dividing by three

= 537/100 / 3

= 537/100 * 1/3

= 537/300

= 1.79

Learn more about division here:

https://brainly.com/question/29401139

#SPJ1

Marques is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Marques will earn $30 every time one of his songs is played in a commercial and he will earn $120 every time one of his songs is played in a movie. Marques' songs were played on 5 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $900. Determine the number of commercials and the number of movies on which marques' songs were played.

Answers

Marques played songs in Number of movies = 5 and Number of commercials = 10

A mathematical statement proving the equality of two mathematical expressions is the essence of an equation.  For example, 8x + 3 = 12 is an equation in which the expressions 8x + 3 and 12 are separated by a 'equal' sign.

The system of equations that could be used to determine the number of commercials and the number of movies on which Marques songs were played is illustrated as 30(x + 5) + 120(x) = 900.

The variable x represents the number of times the song has been played in movies.

According to the information, Marques is a songwriter who collects royalties on his songs whenever they are used in a commercial or a movie, and she will earn $30 every time one of his songs is used in a commercial, while he will earn $120 every time one of his songs is used in a movie.

Let x be the number of times the song was heard in movies.

Marques' songs were heard in five times more commercials than in movies. x+5 will be the answer.

As a result, the equation to solve the problem will be:

30(x + 5) + 120(x) = 900

30x + 150 + 120x = 900

150x + 150 = 900

150x = 900 -150

150x = 750

x = 750/150

x = 5

Number of movies = 5

Number of commercial = x + 5

5 + 5 = 10

Therefore Marques played songs in Number of movies = 5 and Number of commercials = 10

To learn more about equations visit

https://brainly.com/question/17149704

#SPJ4

Answer these questions please.

Answers

Answer:

Tan A = Opposite/ Adjacent

Tan A = 40/9

option D

Step-by-step explanation:

On the second page, last question

Tan is given by a formula opposite divided by the adjacent

Based on the position of the angle, our opposite will be 40 and the adjacent, 9 leaving us with and equation

tan A = 40/9

On a school playground, a math teacher draws a number line with values from -10 to 10. The distance between each consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.

What is the straight-line distance between the two friends, in meters?

Answers

Answer:

5

Step-by-step explanation:

The straight line distance between the two friends is 12 meters.

Given, On a school playground, a math teacher draws a number line with values from -10 to 10.

Also, the distance between each consecutive number is 1 meter.

Now,  Rebecca is standing at +4, and her friend Cedric is standing at -8.

We have to find the straight-line distance between the two friends, in meters.

As, the distance of Rebecca from the origin is 4 m and the distance of Cedric from the origin is 8 m.

Therefore, the distance between Rebecca and Cedric is 4 + 8 i.e. 12 m

Hence, the straight line distance between the two friends is 12 meters.

Learn more about Coordinate Geometry here https://brainly.com/question/18269861

#SPJ1

BY SELLING AN ARTICLE FOR $10.80, A SHOPKEEPER MAKES A PROFIT OF 8%. WHAT SHOULD BE THE SELLING PRICE FOR A PROFIT OF 20%?

Answers

Answer:

$27.00

Step-by-step explanation:

8 : 20 = 10.80 : x

x = 20 * 10.80 / 8

x = 5 * 10.80 / 2

x = 5 * 5.40

x = $27.00

363 out of the 550 books at the library are fiction books. What percentage of the books at the
library are fiction books?

Answers

Answer:

72.6%

Step-by-step explanation:

Percentages are simple

(Number given / Total given ) × 100 = ?%

(363 / 550 ) × 100 =

0.726 × 100 = 72.6

This should be our final answer of 72.6%

Hope this helped and have a good day

Use substitution to write an equivalent quadratic equation. (3x 2)2 7(3x 2) â€"" 8 = 0

Answers

Answer: We on da same question i do not know

Step-by-step explanation:

Find the value of ​f(5​) for the function.
​f(a)=3​(a+2​)−8

Answers

Answer:

f(5) = 3(5+2) - 8

f(5) = 15+6 -8

f(5) = 21 - 8

f(5) = 13

f(5)=3(5+2)-8
F(5)=13

9. Use the compound interest formula, A= P(1+r)’, to find the compound interest earned on an
account with $700 invested at 4.5% for 2 years.

O$763.00
O$64.42
O$31.50
OS771.75

Answers

The compound interest earned on an account with $700 invested at 4.5% for 2 years is $64.42.

What is compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

To calculate the compound interest earned, we use the formual below.

Formula:

I = A-PI = P(1+R/100)ⁿ-P............ Equation 1

Where:

I = Compound interestP = PrincipalR = Raten = Time

From the question,

Given:

P = $700R = 4.5%n = 2 years

Substitute these values into equation 1

I = 700(1+4.5/100)²-700I = 764.42-700I = $64.42

Hence, the compound interest earned is $64.42.

Learn more about compound interest here: https://brainly.com/question/24924853

#SPJ1

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants. Write an equation that can be used to find the price of the shirts and pants.

Answers

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants.

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so 3x+2y = 300 this is the equation of the line in standard form

Convert to slope intercept form

y = mx+b

Isolate the variable y

3x+2y = 300

subtract 3x both sides

3x+2y-3x = -3x+300

2y = -3x+300

Divide by 2 both sides

y = -1.5x+150

----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

Ax+By = C

The x-intercept is C/A

we have

3x+2y = 300

so

300/3 = 100

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

y = -1.5x+150

For y=0

0 = -1.5x+150

solve for x

1.5x = 150

x = $100

Hence the x-intercept is the point (100,0)

To learn more about intersects click here https://brainly.com/question/24363347

#SPJ4

The congruency of MNO and XYZ can be proven using a reflection across the line bisecting . However, this congruency can also be proven using geometric postulates, theorems, and definitions. Prove that the triangles are congruent using a two-column proof and triangle congruency theorems.



Given: M X
N Y


Prove: MNO XYZ


Need help ASAP!

Answers

The triangles are congruent using a two-column proof and triangle congruency theorems. For that please refer to the image also and reasons are mention below.
Math congruent meaning?

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

Since the statements are already presented in your figure, only the reasons need be stated here.

1)Given

2)Given

1)Given

4)Congruent line segment definition5)

5)symmetry as a congruence trait

6) Addition and substitution aspects of equality

7)Segment addition theorem

8)Congruent line segment definition

9)Congruence postulate for AAS

According to the property of addition, if A=B, then A+C=B+C. According to the substitution property, if C=D, then A+C=B+D. (D can be substituted for C). I believe that in order to move from A=B and C=D to A+B=C+D, both qualities must be present.

Learn More about congruent at
https://brainly.com/question/11949261
#SPJ1

Other Questions
75 less than twice Gail's savings Use the variable g to represent Gail's savings. Can someone help me I dont understand this question its geometry The weighted average of the atomic masses of the naturally occurring isotopes of an element is the. the cardiologist has scheduled a client for drug-induced stress testing. what instructions should the nurse provide to prepare the client for this test? a client has just been diagnosed with hypercholesterolemia and is asking what treatment will be needed. about which topics should the nurse educate the client? select all that apply. Specialized structures are expressed with the help of mrna. what role does mrna play? (5b) question 4 options: making energy available for cellular activities creating bonds to form large polymers assisting with replication by producing glucose providing information from dna that is used to form proteins What was the Second Great Awakening?What was the appeal of revivalism? In what ways is nuclear transplantation so advantageous your patient opens his eyes, moans, and pulls away from you when you pinch his trapezius muscle. you should assign a glasgow coma scale (gcs) score of: Which is the graph of y=LxJ-2? In a 30 60 90 triangle where the long side is equal to 4, what are the values of the hypotenuse and short side ? $8 is what percent of $8? you and your partner arrive at the scene of a house fire where firefighters have rescued a 50-year-old male from his burning house. the patient has superficial and partial-thickness burns to his face and chest. his nasal hairs are signed, and he is coughing up sooty sputum. you should be most concerned with: How many steel rods are in a staircase frame with 12 steps? Create one complete sentence for each of the following verbs using the tense given in parentheses. Use a different subject pronoun for each sentence. Example: tener (preterite) yo tuve un examen ayer. 1. Conocer (preterite) 2. Querer (imperfect) 3. Saber (preterite) 4. Poder (imperfect) 5. Ver (imperfect) you will be graded on (a) correct conjugations for the subject pronoun, (b) correct meaning of the sentence, and (c) overall quality and accuracy of your response (includes verb accents). qualitative test from this module could be employed to distinguish between 1-hexene and hexane? state which compound would come out positive, and If Elon and Jeff work together, they can finish the work in 3 hours. If Jeff works together with Bruce, theycan make this work done in 6 hours. Elon and Bruce can finish this work in 4 hours. How much time wouldit take to finish the work if all three worked together? pls helpp Plsssssssss helpppppppppppp Pls, HELP ASAP!!!!!!!!!!!!!!!!!The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (5, 1), and Monique's desk is located at (2, 4). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk? square root of 10 feet square root of 72 feet square root of 74 feet square root of 100 feet When throwing a ball, why does the triceps muscle contract?