A committee of four students is being randomly selected from a group of twenty students. How many combinations of four students are possible?

Answers

Answer 1

Using the combination formula, it is found that 4845 combinations of four students are possible.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, four students are taken from a set of 20, hence the number of combinations is given by:

[tex]C_{20,4} = \frac{20!}{4!16!} = 4845[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

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Related Questions

1. 10:15 H Wednesday (Philippines) - 05:15 H Wednesday (Riyadh, Saudi
Arabia)
Time difference​

Answers

Answer:

5hours

Step-by-step explanation:

10:15 - 05:15 = 5 hours

Thsi means that local time in Philippines is 5 hours ahead of local time in Riyadh, Saudi Arabia.

The time can be interpreted as follows ; At a certain time in the Philippines, say 10:15 am in the morning, At this verh point in the Riyadh, Saudi Arabia, the time will be :

(10:15 - 5 hours) = 05:15

¿cuanto suman los angulos interiores de un hexagono? Escribe solo el numero que corresponda a la cantidad, sin el simbolo de grados

Answers

Answer:

La suma de los ángulos interiores de un hexágono regular es 720°

Step-by-step explanation:

Asumamos que el hexágono presentado en el enunciado sea regular, el cual es formado por seis triángulos equiláteros, Un ángulo interno del hexágono está formado dos ángulos laterales y vecinos de dos triángulos equiláteros, es decir, dos veces 60°, o sea, 120°. Si el hexágono regular tiene seis ángulos internos de igual medida, entonces la suma de los ángulos interiores es 720°.

x^3+y^3+z^3-3xyz=2021
Find x,y, and z.

Answers

Answer:

x

=

2021

3

y

z

+

X

3

3

y

z

+

y

2

3

z

+

z

2

3

y

Step-by-step explanation:

Least to greatest
23.569.
23.8
23.75
23.98

Plz answer

Answers

Answer:

Step-by-step explanation:

23.569

23.75

23.8

23.98

23.569
23.75
23.8
23.98

Y=-10x+50

x=9,


y=??

Answers

Answer:

-40

Step-by-step explanation:

Plug in 9 for x.

Use Order of operations

-10(9) = -90

-90 + 50 is the same thing as saying 50 - 90

we can simplify by splitting the -90 in to a -40 and a -50

the new equation could be 50 - 50 -40.

50 - 50 = 0

0-40 = -40

helppppppppp meeeeeeeeeee

Answers

Answer:

68 in^2

Step-by-step explanation:

Area of two trapezoids:

(7+3)5 = 50

Area of two squares:

2(3x3) = 2(9) = 18

50 + 18 = 68

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

68

Step-by-step explanation:

3x3=9 (top square)

3x3=9 (bottom square)

(1/2) (5) (2) = 5 (triangle 1)

(1/2) (5) (2) = 5 (triangle 2)

(1/2) (5) (2) = 5 (triangle 3)

(1/2) (5) (2) = 5 (triangle 4)

10 x 3 = 30 (middle rectangle)

9+9+5+5+5+5+30=68

What’s the solution for x+3/4> 1 1/2?

Answers

Answer:

x > 19/4

interval notation is (19/4, infinity)

Step-by-step explanation:

hope this helps

I need help please like right now thank you

Answers

X would equal 150 degrees as well because the 150 on the top row is in the same place as the x on the bottom row

Answer:

x = 150°

Step-by-step explanation:

t1 and t2 are parallel lines, so the line going across them have identical angles. Since 150° is already given on the section that crosses t1, we can assume the same value for t2.

Hii pretty human, could pls help meeeee :((((((
The local fair charges a flat fee for admission plus an additional cost for ride tickets. Last year, Imran purchased 10
tickets and spent a total of $20. His friend, Anton purchased 21 tickets and spent a total of $36.50 at the fair. The
relationship between the # of tickets and total spent is linear. Algebraically determine the following:
a) The price per ticket.

b) The admission fee.

Answers

i'm really good at all kinds of math, but this doesn't make any sense.

Answer:

a.the price per ticket?

Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3

What is the maximum height of the soccer ball? _______________________

How long will it take the ball to reach the ground?

Answers

Answer:

The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]  

The ball reaches the ground in 1.79 s.

Step-by-step explanation:

We need to take the derivative and equal to zero to find the time at the maximum height.

[tex]h(t)=-16t^{2} +27t+3[/tex] (1)

[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]

[tex]t_{max} =\frac{27}{32}[/tex]

[tex]t_{max} =0.84\: u[/tex]

Now, we just need to put t(max) into equation (1) to find h(max)

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=14.39 \u[/tex]  

If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.

[tex]0=-16t^{2} +27t+3[/tex]

Let's solve this quadratic equation.

We will get two solutions and we must choose the positive value.

t1 = 1.79 u

t2 = -0.10 u

Therefore, the ball reaches the ground in 1.79 u.

I hope it helps you!    

can someone help me out with these .

Answers

It doesn’t let me see the pics send again or something
For 7 you have to make a chart and graph

A circle with its dimensions, in centimeters (cm), is shown.
What is the area, in square centimeters, of the circie?

Answers

Answer:

50.27

Step-by-step explanation:

PLEASE HELP order the sides of EBD from longest to shortest (I’ll give brainlest btw)

Answers

6969- 666 #= dmmekekeoeowowo se*

PLSSSSS HELPPPPP REWARD BRAINLEISTTT

Answers

ANSWER:

number 1 is D, it moves to the right 4 times

number 2 is B, its a vertical stretch of 2

Jika harga sebuah martil adalah 10 kali harga paku, dan harga satu lusin paku adalah Rp 1.200,-, berapa harga martil tersebut?

Answers

Menjawab:

1000

Penjelasan langkah demi langkah:

Mengingat bahwa :

Harga palu 10 potong harga paku;

Harga selusin paku = 1200

1 lusin = 12

Jadi harga paku adalah:

1200/12

= 100

Makanya, harga paku = 100

Jadi, harga palu adalah:

10 kali lipat, harga paku

10 * 100 = 1000

Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:

Answers

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.

Answers

Answer: 12 for the main square

Step-by-step explanation:

take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.

Two yards of fabric costs $15. Find the cost
for 7 yards of fabric if the cost of fabric
varies directly with the number of yards.

Answers

creí que son 21

Step-by-step explanation:

5$--3-$+3+&$73+3-+$

Name the following
transformations

Answers

Answer:

reflection, rotation, and translation.

please help me with this :))

Answers

Hey love! <3

Answer:

Your answer is 306 units^2!

Step-by-step explanation:

Let's work this out together!

First let's find the top and bottom square's area.

6 x 15 = 90

Since there are not only two of those shapes but THREE, 90 x 3= 270.

So 270 is the surface area of the middle rectangles.

Step 2! Let's find the area of these triangles. We know that both of the triangles are 6 on each side.

Think back to geometry formulas. The formula for finding the area of a triangle is different then a square.

Triangle formula: Base x Height / 2 = A

Rectangle formula: Base x Height = A

So 6 x 6 is 36, now we have to divide it by two; which equals 18.

Since there are TWO triangles, we multiply 18 by two giving us the total surface area of the triangles, 36.

Now let's add our products together!

36 + 270 = 306

Thus the total surface area being 306 units^2

Hope this powers up that very-brainly brain of yours! Be sure to drop Brainliest (Only if you want to! No pressure) ( ಠ◡ಠ ) Sincerely, Kelsey from Brainly.

~ #LearnWithBrainly ~

If you have 0.2 moles of NaCl in 0.5 L of solution, what is the molarity? (Round answers to the nearest hundredth)

Answers

Answer:

Molarity = 0.4 moles per Liter

Step-by-step explanation:

If you have 0.2 moles of NaCl in 0.5 L of solution, what is the molarity? (Round answers to the nearest hundredth)

The formula formula Molarity

= n/v

Where n = number of moles

v = volume in liters

Hence

Molarity = 0.2 moles/0.5L

= 0.4 moles per Liter

there are 20 students in a homeroom how many different ways can they be chosen to be elected president vice president treasurer and secretary

Answers

Answer:

116280

Step-by-step explanation:

n=20

r=4

nPr

20P4 = 116280

The  students can be chosen in 116280 different ways to be elected as president, vice president, treasurer and secretary.

What is permutation?

"It is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters."

Formula of permutation:

The number of ways of obtaining an ordered set of 'r' elements from a set of 'n' elements.

[tex]^{n}P_r=\frac{n!}{(n-r)!}[/tex]

For given example,

there are 20 students in a homeroom

⇒ n = 20

Students can be elected president, vice president, treasurer and secretary.

⇒ r = 4

So, using the formula of permutation, the number of different ways they  can be chosen to be elected president, vice president, treasurer and secretary would be,

[tex]\Rightarrow ^{n}P_r=\frac{n!}{(n-r)!} \\\\\Rightarrow ^{20}P_4=\frac{20!}{(20-4)!} \\\\\Rightarrow ^{20}P_4=\bold{116280}[/tex]

Therefore, these 20 students can be chosen in 116280 different ways to be elected as president, vice president, treasurer and secretary.

Learn more about permutation here:
https://brainly.com/question/1216161

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Someone help me with this pleaseeee!!!! I need help ASAP pleasee!!!

Answers

Answer:

36pi or 113.04

Step-by-step explanation:

V=pi times radius^2 times height

V= pi times 3^2 times 4

V= pi times 9 times 4

V= pi times 36   - ANSWER 1- 36pi

or you can continue...

V= 113.04 (3.14 used as pi)

note(don't forget PEMDAS)

!!! find the indicated side of the triangle PLZ HELP

Answers

Answer:

a=17√2

Step-by-step explanation:

Hi there!

We are given a right triangle with the measure of one angle being 45°, and one of the sides being measured 17

we need to find a

first, let's find the measure of the other angle

because it's a right triangle, the sum of the acute angles are complementary, meaning they add up to 90°

let's make the unknown degree of the other angle x

so that means to find x:

45+x=90

subtract 45 from both sides

x=45°

that means the measure of the other angle is 45°

You may notice since we have two angles with the same measure, that means this triangle is isosceles.

That means the other leg (the other side that isn't marked) is also 17

of course, you could solve for a using Pythagorean theorem, but there's actually a shortcut:

in 45°-45°-90°Δ, the legs are a specific value, and the hypotenuse (the side opposite from the 90° is the value of the legs*√2 (for example, if the legs are 3, then the hypotenuse is 3√2). To remember the rule, if the legs have a measure of s, the hypotenuse has a measure of s√2

therefore the measure of a is 17√2

Hope this helps!

Can you help on this problem
r + s² at r = 4, s = 1
show work plz
NO LINKS

Answers

Answer:

5

Step-by-step explanation:

Given Question:

[tex]r + {s}^{2} [/tex]

Given values -

r = 4 , s = 1

Therefore putting their values in the question,

[tex]4 + {1}^{2} [/tex]

= 4 + 1

= 5 (Ans)

Complete the equations below. 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths}\div 4 tenths÷4start text, space, t, e, n, t, h, s, end text, divided by, 4 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths} tenthsstart text, space, t, e, n, t, h, s, end text 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals

Answers

Answer: first one is 88 tenths, next one is 22 tenths, and last one is 2.2    

Step-by-step explanation: i just pressed get help in khan academy ha ha,

Of 118 randomly selected adults, 29% said that they had high blood pressure. Find the 95% confidence interval for the proportion of all adults that have high blood pressure. State the interval and write a sentence explaining the information in the interval in the context of the problem.

Answers

Answer:

(0.208 ; 0.372)

Step-by-step explanation:

phat = 29% = 0.29

Sample size, n = 118

The confidence interval :

phat ± margin of error

Margin of Error = Zcritical * √phat(1 -phat) / n

Zcritical at 95% = 1.96

Margin of Error = 1.96 * √0.29(0.71) / 118

Margin of error = 1.96 * 0.0417721

Margin of Error = 0.0818734

Confidence interval :

Lower boundary : 0.29 - 0.0818734 = 0.208

Upper boundary = 0.29 + 0.0818734 = 0.372

(0.208 ; 0.372)

We can be 95% confident that the proportion of adults with high blood pressure is lies within the interval (0.208 ; 0.372)

Is Time a function of temperature?

Answers

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:

The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle

Answers

Answer: Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.

Find the difference between 5 4/5 and 7 1/3

Answers

Answer: -1 8/15

Step-by-step explanation:

First turn it to improper fraction

29/5 — 22/3

87–110/15. (Here make 15 the denominator since both 3 and 5 goes in 15.

—23/15

—1 8/15

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Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown below Becker: 5,2,4,1,1,4,5,3,2,1Kayla: 2,3,1,1,4,1,5,3,5,5Based on the data, which estimate represents the mean of number of games chess team members play per day?A.) 1B.) 3C.) 4D.) 10 Find the mean ,median and mode of the weights of people shown Where do CFCs come from?A:spray cansB :fire extinguishers C:Air conditioner D: manufacturing foams Or all above PLS HELP!!!!!!!!!!!!!Write the recursive rule for the sequence: 5, -10, 20, -40, 80 3-gallon bottle of fabric softener costs $18.00. What is the price per quart? ( 1 gallon = 4 quarts) can someone please help me is the answer b or c What is mJHmJH = degrees How is poetry different than other types of writing? ndbfhbehjbgherjndbvjhbrh the gym teachers at springfield middle school randomly surveyed 40 students to find which one of four indoor sports they prefer to play. the results are shown in the table. based on the data which sentence is true? plz help basketball= 12volley ball= 15 soccer= 6dogeball=7 1. more than twice as many students would rather play volleyball than soccer.2.more than twice as many students would rather play basketball than dodgeball.3. more students would rather play basketball than soccer and dodgeball combined. 4. more students would rather play volley ball than the other three sports combined What are benefits of using debugging tools? Check all that apply.A. Debugging tools help programmers catch errors they might otherwise miss.B. Debugging tools can save time.C. Debugging tools can introduce new errors into the code.D. Debugging tools help programmers make methodical assessments of the problem. In the world of purple people eaters, one eye (E) and one horn (H) are dominant traits. Purple people eaterscan also have two eyes (e) and two horns (h), which are recessive traits.Perform a dihybrid cross among a male who is heterozygous for both traits and a femalewho is heterozygous for both traits. Use the results for your prediction below.HOW MANY ONE-EYED TWO-HORNED PURPLE PEOPLE EATERS ARE THERE?O 310 169O412 1. Je (travailler) la ville. 2. Qu'est-ce que vous (faire) ? 3. Nous (lire) le journal. 4. Qu'est-ce que Paul (faire) ? 5. Il (crire) une lettre a son ami. 6. Tu (comprendre) l'anglais? 7. Les enfants (parler) Franais. 8. Il (traverser) la rue. 9. L'autobus (partir) 8 heures. 10. La voiture ne (marcher) pas Which ordered pair is a solution of the linear system: x+2y=-8 and-4x+y=5? *O A. (-2-3)OB.(2-3)C. (-3,-2)D. (-1,0)HELP ASAPPPPPP All other things being equal, the size of a population will decrease if:Abirthrate exceeds the death rate.Bimmigration rate exceeds emigration rate.Cdeath rate exceeds birthrateDbirthrate equals death rate sooo likeeeeee doras dog is 30 pounds nicos dog is 450 ounces whose dog weights more ASAP HELPPPPPPPPp If a man has type B blood and his sister has type A blood, which combination listed below is most likely the genotypes of their parents? The table shows the relationship between the masses of two objects, the distance between the two objects, and the gravitational force between the objects. A 4-column table with 5 rows. The first column labeled Mass of Object 1 (kilograms) has entries 1, 2, 2, 3, 9. The second column labeled Mass of Object 2 (kilograms) has entries 1, 1, 2, 3, 3. The third column labeled Distance between Objects 1 and 2 (meters) has entries 1, 1, 2, 1, 3. The fourth column labeled Gravitational Force Objects 1 and 2 (Newtons) has entries 1 G, 2 G, 1 G, 9 G, 3G. Which conclusion is supported by the data in the table? An increase in the mass of an object causes the same decrease in the gravitational force. An increase in the distance between the objects causes the same decrease in the gravitational force. An increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass. An increase in the mass causes a greater change in the gravitational force than the same increase in the distance between the objects. Brainlyest for correct answer! Which word BEST completes BOTH sentences? I need some help have a good day bye