There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are true? check all that apply.

Answers

Answer 1

There is approximately a 52 percent likelihood that one boy and one girl will be chosen to practice first.

Player selection:

The selection of players is an illustration of combination (or selection)

The expression that represents combination is represented as:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where:

The total number of players: n = 22The players to select: r = 2

Total Selection

So, we have:

$^{22}C_2 = \frac{22!}{(22 - 2)!2!}$

Evaluate the differences

$^{22}C_2 = \frac{22!}{20!2!}$

Expand the factorials

$^{22}C_2 = \frac{22 \times 21 \times 20!}{20!2!}$

$^{22}C_2 = \frac{22 \times 21}2$

$^{22}C_2 = 11 \times 21$

$^{22}C_2 = 231$

A boy and a girl

To select a boy and a girl, we have:

$n = ^{10}C_1 \times ^{12}C_1$

This gives

$n = 10 \times 12$

$n = 120$

The probability that the first selection is a boy and a girl is:

$Pr = \frac{120}{231}$

Evaluate

$Pr = 0.519$

Express as percentage

$Pr = 0.52$

Approximate

$Pr = 52\%$

Hence, there is approximately a 52 percent likelihood that one boy and one girl will be chosen to practice first.

Related Questions

After studying until four in the morning, I was a bit sleepy
is this a
paradox
understandment
hyperbole
verbal irony

Answers

Answer:

understandment or anything

This is an understatement.

In a later post of yours, I explain what a paradox, understatement, hyperbole, and verbal irony are.
I hope it helps!

YALL PLEASE I NEED HELP THIS IS DUE TMR THANK YOU SM

Answers

Answer:

x=14

Explanation:

if x-2=12, first we do the opposite of subtracting 2 on both sides of the equation, and since -2 cancels out (because-2+2=0) it leaves us with just

x=14

Which expression is equivalent to 6x-9/3

Answers

Answer:-18

Explanation:

Answer:

its b

Explanation:

i took the quiz

HOLY COW I GOT 1000 POINTS IN ONE DAY

Answers

Answer:

Wow! Congratulations but can you mark me as brainliest? Thanks!

OH WOWW NICE that’s really rad

Who knows Timmothee chamolet

Answers

I don’t personally know him but I know who he is

Answer:

I do, (not personally), he's an amazing actor :D

Explanation:

why are shadow formed during the morning and the afternoon longer?

help pls science

Answers

Answer: Due to the angle of light.

Explanation:

This is due to the angle at which sunlight hits the Earth. During thee morning and evening, light hits objects at a sharper angle. This is compared to noon, when the sun is directly above objects, leading to little to no shadow.

Josie is playing a game at the local fair that involves throwing a baseball at a row of glass cups in the distance and trying to shatter them. How is energy transferred in the process?

Answers

The energy is transferred from Josie's arm to the baseball as she throws it. As the baseball travels through the air, the energy is transferred from the ball to the cups when it strikes them, shattering the glass.

What is Energy?
Energy is the ability to do work. It comes in many forms, including thermal energy, chemical energy, electrical energy, nuclear energy, and mechanical energy. All forms of energy can be converted into one another, and can be used to power machines and other objects. Energy is the fundamental building block of the universe, and is necessary for all living things to survive.

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which expression is equivalent to this

Answers

Answer:

Explanation:

I believe it's (B.)

The lifetime of a particular type of car tire is normally distributed. The mean lifetime is 50,000 miles, with a standard deviation of 5,000 miles. Of a random sample of 15,000 tires, how many of the tires are expected to last for between 45,000 and 55,000 miles?

Answers

Answer:

10,240 tires

Explanation:

To calculate the percentage of tires that are expected to last for between 45,000 and 55,000 miles, we need to find P(45000 < X < 55000).

Calculator input for "normal cumulative distribution function (cdf)":

Lower bound: x = 45000Upper bound: x = 55000Mean, μ = 50000Standard deviation, σ = 5000

⇒ P = 0.682689492...

⇒ P = 68.27%

Therefore, approximately 68.27% (2 d.p.) of tires are expected to last for between 45,000 and 55,000 miles.

To find the number of tires that are expected to last between 45,000 and 55,000 miles from a random sample of 15,000, multiply the found percentage by the number in the sample:

⇒ 0.682689492... × 15000 = 10240.3428...

Therefore, of a random sample of 15,000 tires, 10,240 tires are expected to last for between 45,000 and 55,000 miles.

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Can someone with course hero help me plzzz.

Answers

Thank you for the points

WHAT IS 3/5 x 4/1 pls help

Answers

Answer:

2.4

Explanation:

True or false all of the radiation from the sun is absorbed by the earth

Answers

Answer:

True !!

Explanation:

Hope this helps !!

This is true because the sun produces heat and the earth absorbs it. And if you go out side while it’s sunny and touch the ground and it’s hot, that’s called radiation.

10 similarities between micro teaching and peer teaching

Answers

Answer: Both micro teaching and peer teaching involve teaching and learning activities among peers.

Both micro teaching and peer teaching are commonly used in teacher training and education programs.

Both micro teaching and peer teaching involve the use of feedback and reflection to improve teaching practice.

Both micro teaching and peer teaching provide opportunities for teachers to practice and refine their teaching skills.

Both micro teaching and peer teaching require preparation and planning, including developing learning objectives and selecting appropriate teaching methods.

Both micro teaching and peer teaching involve the use of instructional materials and resources, such as lesson plans, textbooks, and technology.

Both micro teaching and peer teaching emphasize the importance of creating a positive and supportive learning environment for students.

Both micro teaching and peer teaching can be used to target specific teaching skills or content areas for improvement.

Both micro teaching and peer teaching can be adapted to different teaching contexts, such as classrooms, workshops, or online learning environments.

Both micro teaching and peer teaching can contribute to the development of a collaborative and reflective teaching culture among peers.

cuál sería mi misión si fuera un emprendedor de criaderos de pollo

Answers

La respuesta correcta para esta pregunta abierta es la siguiente.

A pesar de que no se anexan opciones o incisos para responder, podemos comentar lo siguiente.

La respuesta correcta para esta pregunta abierta es la siguiente.

¿Cuál sería mi misión si fuera un emprendedor de criaderos de pollo?

Tu misión en esta vida si fueras un emprendedor o empresario que administrara criaderos de pollos sería la de brindar una fuente permanente de alimentación para la región en la que habitas, procurando una cría higiénica, de trato apropiado para los animales, para que sirvan de fuente nutricional para los consumidores debido al elevado número de nutrientes de tus pollos.

Como ganadero y criador de pollos, deberás procurar alimentar sanamente a tus pollos para que crezcan sanos y fuertes y sean un alimento de calidad para la nutrición de tus consumidores.

death is inevitable.

Answers

Answer:

What ur question...or u don't have any

Answer:are you ok?

Explanation:

I have keys but no locks. I have a space but no room. You can enter, but can’t go outside. What am I? It whould mean alot if you helped me:)

Answers

It’s a keyboard!! Hope it helps!!

a computer keyboard!!

30 POINTS!!! What is an example of: Intimacy vs. Isolation, Generativity vs. Stagnation, and Integrity vs. Despair

Answers

Explanation:

Integrity vs. Despair in Psychosocial Development - Verywell Mind

Answer:

Isolation---Variation---Natural selection---Speciation

Explanation:

Isolation can be geographic, ecological or reproductive – something happens to prevent two parts of a population breeding.

There is variation or mutation in any population which may or may not be useful.

Natural selection is survival of the fittest – those with the genes most suited to their environment live to breed and pass them on.

Eventually, the two populations are so different that if they did meet, they would be unable to successfully breed – they are now two different species.

If this was helpful, PLEASE mark me as the brainliest.

r= 50
8. A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15
m/s and experiences a centripetal force of 720 N. What is the mass of the skater? (10
points - you must show your work)

Answers

Answer:

nose

Explanation:

12
DALILAH
Bakari is making a scale model of a large cylindrical building. The scale model has a volume that
of the building. To determine the radius and height of the scale model, Bakari divided both the ra
by 8 because the formula for the volume of a cylinder only has 2 variables.
Which statement is true?
Bakari is correct.
Bakari is incorrect. He should have divided the radius and height by 2.
Bakari is incorrect. He should have divided the radius and height by 4.
Bakari is incorrect. He should have divided the radius and height by 16.

Answers

Answer: Bakari is correct

Explanation:

Bakari is correct. If he divided both the radius and height by the same factor (in this case, 8), then the resulting scale model will have the same proportions as the original building, just scaled down by a factor of 8. The formula for the volume of a cylinder is V = πr²h, which only has two variables (the radius and height). So if Bakari wants to maintain the same proportions of the cylinder in his scale model, he needs to divide both the radius and height by the same factor. This will result in a scale model with a volume that is 1/8th the volume of the original building.

Bakari is correct.

If the scale model has a volume that is 1/8 of the volume of the actual building, then the dimensions of the scale model must be 1/2 the dimensions of the actual building in order to maintain the same proportions. This means that Bakari should divide both the radius and height of the actual building by 2 in order to determine the radius and height of the scale model. Therefore, his method of dividing both the radius and height by 8 is correct.

Write the equation of a parabola that has vertex (2.5, 2.75) and passes throught the point (1,5).

Answers

Answer:

y = (x - 2.5)^2 + 2.75

Explanation:

y = a(x - h)^2 + k - Vertex form

y = a(x - 2.5)^2 + 2.75 - Replacing h with 2.5 and k with 2.75

5 = a(1 - 2.5)^2 + 2.75 - Replacing x with 1 and y with 5

5 = 2.25a + 2.75 - Doing (1 - 2.5)^2 = 2.25 times a = 2.25a

2.25 = 2.25a - Subtracting 2.75 on both sides

a = 1

y = 1(x - 2.5)^2 + 2.75 - Replacing a with 1

So the equation of a parabola is y = (x - 2.5)^2 + 2.75

The vertex of a parabola is the minimum or the maximum point of the parabola

The equation of the parabola is $\mathbf{y = a(x -1)^2 + 5}$

The given parameters are:

$\mathbf{(x,y) = (2.5,2.75)}$ --- point

$\mathbf{(h,k) = (1,5)}$ -- vertex

A parabola is represented as:

$\mathbf{y = a(x -h)^2 + k}$

Substitute the given values in the above formula

$\mathbf{2.75 = a(2.5 -1)^2 + 5}$

$\mathbf{2.75 = a(1.5)^2 + 5}$

$\mathbf{2.75 = 2.25a + 5}$

Subtract 5 from both sides

$\mathbf{2.25a =-2.25}$

Divide both sides by 2.25

$\mathbf{a =-1}$

Substitute $\mathbf{a =-1}$ and $\mathbf{(h,k) = (1,5)}$ in $\mathbf{y = a(x -h)^2 + k}$

$\mathbf{y = a(x -1)^2 + 5}$

Hence, the equation of the parabola is $\mathbf{y = a(x -1)^2 + 5}$

Answers

The statement that best summarizes the following portion of the Declaration of Independence is "People have certain rights and it is the role of government to protect those rights." (Option C)

How is this so?

The statement emphasizes that all individuals are inherently equal and possess unalienablerights such as life, liberty, and the pursuit of happiness.

It asserts that governments are established to safeguard these rights and derive their power from the consent of the governed.

If a government fails to upholdthese principles, the people have the right to change or replace it with a new government that prioritizes their safety and well-being.

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the sick-leave time of employees in a firm in a month is normally distributed with a mean of 100 hours and a standard deviation of 20 hours.

Answers

The probability of having six leave time for next month falling between 50 and 80 hours is 0.152

Standard deviation, σ = 20 hours

Mean, μ = 100 hours

The probability that sick leave time for next month will be between 50 and 80 hours can be expressed thus :

Recall :

Zscore = (x - μ) / σ

P(50 ≤ X ≤ 80) = P(Z < (80 - 100)/20)) - P(Z < (50 - 100)/20))

P(50 ≤ X ≤ 80) = P(Z < - 1) - P(Z < - 2.5)

Using the normal distribution table :

P(Z < - 1) = 0.15866

P(Z < - 2.5) = 0.0062097

Hence,

P(-1 ≤ Z ≤ - 2.5) = P(Z < - 1) - P(Z < - 2.5) = 0.15866 - 0.0062097 = 0.1524

Therefore, the probability of having sick leave time between 50 and 80 hours next month is 0.152

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list ten agricultural liming materials

Answers

Answer:

Agricultural lime

Burnt lime

Hydrated lime

Dolomite

Magnesite

Burnt magnesite

Wet lime

Lime and cement kiln dusts

Crushed shells

Gypsum

According to the scientific theory of atoms, which of the following statements most
accurate?
O all matter is made of cells

O all matter is made of particles

O all matter is solid

O all matter is liquid

Answers

Answer:

All matter is made of particles?

Explanation:

Obviously, not everything is solid or liquid, and for example a chair is not made of cells.

Outline three Jewish beliefs about shekinah

Answers

Answer:

The three main beliefs at the center of Judaism are Monotheism, Identity, and covenant (an agreement between God and his people). The most important teachings of Judaism is that there is one God, who wants people to do what is just and compassionate.

Explanation:

You have $10,000 to invest and want to keep your money invested for 10 years. You are considering the following investment options. Choose the investment option that will earn you the most money. A. 2. 89% compounded monthly b. 2. 975% compounded quarterly c. 2. 99% compounded annually d. 3. 25% simple interest.

Answers

I am going to answer that but it will take me 5 to 10 mins so pls wait

Sales tax is calculated as a percentage of the sales price.
If sales tax is 5%, what is the sales
tax on clothing that costs $170?

Answers

Answer:

8.50

Explanation:

Sales price x sales tax percentage = sales tax

170 x .05 (5%)=8.50

How can you take a screenshot on an HP computer?

Answers

Answer:

hi! Its easy!

Explanation:

You have to press the Windows key and then press the prt sc press them at the same time

Answer:ou hit ctrl+shift+ a picture that looks like a rectangle with two lines next to it. Or you can hit ctrl+alt+ the picture again.

Explanation:

Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001. Select one: a. 7 b. 29 c. 300 d. 4,080

Answers

Answer:

C 300

Explanation:

Because if you put them in order from smallest to biggest 29, 100, 200, 300, 450, 1029, 2001. 300 is in the middle of all of the numbers

Answer:

D. 4.080

Explanation:

Question 8 of 25
The exact same experiment was conducted 15 times. How many times
should the results have been similar for them to be valid?
A. 15
B. 9
C. 8
D. 6

Answers

To consider the results of the 15 experiments valid, they should be similar in at least 8 of the trials . So, option C is the right choice.

To determine the number of times the results should be similar for them to be considered valid, we need to establish a threshold based on the number of experiments conducted. In this case, the experiment was repeated 15 times.

To determine the minimum number of times the results should be similar for validity, we can calculate the majority. We divide the total number of trials by 2 and add 1. In this case, 15 divided by 2 equals 7.5, and adding 1 gives us 8.

Therefore, for the results to be considered valid, they should be similar in at least 8 out of the 15 trials. This threshold ensures that the majority of the experiments produced consistent results, indicating reliability and reproducibility.

Thus, The correct answer is option C.8

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