There are 25 students in a science class. Twenty percent of the students are randomly selected to participate in a teacher evaluation. How many combinations of students are possible?

Answers

Answer 1

Answer: 53,130 possible combinations

Step-by-step explanation:

First, we want to find how much is the 20% of 25.

This is:

N = (20%/100%)*25 = 5.

So 5 students out of 25 are selected.

When we want to calculate the number of combinations of N elements it a group of K elements, we have:

[tex]C = \frac{N!}{(N - K)!*K!}[/tex]

Here N = 25, and K = 5

[tex]C = \frac{25!}{20!*5!} = \frac{25*24*23*22*21}{5*4*3*2*1} = 53,130[/tex]

so we have 53,130 combinations.


Related Questions

Please help me now plz help I will mark you brainliest

Answers

Answer:

I think the answer is (-3, -3)

Process:

[tex]\frac{3}{4}[/tex] [6 - (-6)] = -3

[tex]\frac{3}{4}[/tex] [(-6) - (-2)] = -3

Given the net with dimensions below, find the surface area of the shape.
6 ст
3 cm
4 cm​

Answers

Answer:

108cm^2

Step-by-step explanation:

SA=2(6x3)+2(6x4)+2(3x4)

    = 108cm^2

Answer:

i dont understand your question

Enter abs(x) for |x|

Answers

Answer:

y=|x+2|+1

Step-by-step explanation:

the equation for absolute value is y=a|b(x-h)|+k, however, in this case the equation is just y=|x-h|+k

the x value is shifted left 2 so it's |x+2|

the y value is shifted 1 up so it's +1

the equation for the graph is y=|x+2|+1

Answer:

y =|x+2|+1

Step-by-step explanation:

What information would help you answer the which is steepest question with more precision and confidence

Answers

Slope and y-intercepts and just imagining a graph

In your piggy bank, you have 15 quarters, 2 dimes, 1 nickel and 32 pennies. You tip the bank, and out rolls one, then another , then another coin. Find the probability that the coins came out as the follows:
a) 1 penny, 1 quarter, 1 dime
b) 1 penny, 1 quarter, 1 penny

Please show work. Thank You!

Answers

Answer:

B) Is the answer.

Step-by-step explanation:

If you have 15 quarters and 32 pennies, you have more than twice the amount of pennies that you do quarters. There is a small chance that it could be a dime or a nickel but this is unlikely. The chance of a quarter and penny falling out is much greater than a dime or nickle.

which polynomial has a leading coeficient of 4 and a degree of 3

Answers

Answer:

The answer is "[tex]\bold{4x^3+x^2+2}[/tex]".

Step-by-step explanation:

Some information which is choices is missing in the given question, so the correct choice can be described as:

The degree of the polynomial relates to its maximum "x" power, which occurs in the equation. Its leading coefficient shows the number until the "x" max power, that's why the equation "[tex]4x^3+x^2+2[/tex] " is the correct answer to this question.

The graph of the function f (x) = StartFraction 6 Over x minus 3 EndFraction is shown below. On a coordinate plane, a hyperbola is shown. Both curves approach x = 3. What is the vertical asymptote of the function? x = –3 x = –2 x = 0 x = 3

Answers

Answer:

D.) x=3

Step-by-step explanation:

its right

The function will form a vertical asymptote at [tex]x=3[/tex].

Option D: [tex]x=3[/tex] is correct.

Given:

The function is [tex]f (x) = \dfrac{ 6} { x - 3 }[/tex].

We need to find the vertical asymptote of the function.

The given function is a rational function in which the denominator is [tex]x-3[/tex].

Now, the denominator should not be equal to zero.

As the function approaches [tex]x=3[/tex], the function will lead to infinity (positive or negative).

So, the function will form a vertical asymptote at [tex]x=3[/tex].

Option D: [tex]x=3[/tex] is correct.

See the attached image.

For more details, refer to the link:

https://brainly.com/question/8493280

evaluate tan 60/ cos 45

Answers

Answer:

0.60922709536

Step-by-step explanation:

not sure if this is what you are looking for????

√6

im putting yall on folks

A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes.
The vehicle's speed is ????? miles/minute.

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 5t^3-10t^2+10t-20+46/t+2

Step-by-step explanation:

divide 5t^4-10t^2+6/t+2

Evaluate f(x) = –4x – 5 for x = –1. –9 –1 4 1

Answers

Answer:

f(-1) = -1

Step-by-step explanation:

f(x) = –4x – 5

Let x = -1

f(-1) = -4(-1) -5

     = 4 -5

     = -1


3x + 4 = 13 solve for X

Answers

Answer:

x = 3

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

First, subtract 4 from both sides:

3x + 4 (-4) = 13 (-4)

3x = 13 - 4

3x = 9

Next, divide 3 from both sides:

(3x)/3 = (9)/3

x = 9/3

x = 3

3 is your answer for x.

~

Answer:

x = 3

Step-by-step explanation:

3x + 4 = 13

      -4    -4

3x = 9

3       3

x = 3

1180:21 pleas help​

Answers

If you want the ratio in its simplest form, then it’s already in its simplest form.

PLEASE HELP!

Referred to the figure below to complete the following items.

Given: quadrilateral ROSE is trapezoid with median MN.

If RO = 10 and ES = 6,
then MN =

A. 7
B. 8
C. 9

Answers

Answer:

The measure of [tex]MN[/tex] :

[tex]MN = 8[/tex]

Step-by-step explanation:

To find the measure of [tex]MN[/tex], add the measure of [tex]RO[/tex] and [tex]ES[/tex] together and divide it by 2 to get the actual measure of [tex]MN[/tex]:

[tex]RO =[/tex] 10

[tex]ES =[/tex] 6

[tex]MN =[/tex] unknown

-Finding the measure of [tex]MN[/tex]:

[tex]10 + 6 = \frac{16}{2} = 8[/tex]

[tex]MN = 8[/tex]

So, the measure of [tex]MN[/tex] would be [tex]8[/tex] .

Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?

Answers

Answer:

C

Step-by-step explanation:

Took the test

Complete this section.

Answers

Answer:

1: [tex] \frac{7}{4} [/tex]

2: [tex] \frac{17}{6} [/tex]

3: [tex] - \frac{31}{3} [/tex]

4: [tex] - \frac{49}{10} [/tex]

5: [tex] \frac{197}{24} [/tex]

area of the shaded segment of a circle. radius is 10 arc measures 90 degrees

Answers

Answer:

[tex]25\pi[/tex] or about 78.54 units

Step-by-step explanation:

Since the arc measures 90 degrees, since 90/360=1/4 the segment is 1/4 of the area of the circle. The whole area of the circle is [tex]\pi 10^2=100\pi[/tex], meaning that the area of the segment is [tex]25\pi[/tex] square units, or about 78.54. Hope this helps!

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

10 cm * 6 cm = 60 cm²

Step-by-step explanation:

There is a formula to calculate thevarea.

Tthe area of a rectangular (flat) surface is length * width.

If the length is 10 cm and the width is 6 cm then you have found your answer just by substituting those numbers.

Please also note the proper unit of the area, which is in this question defined in square cm. You can easily see why, because cm * cm results in cm². Mathematics (and physics) is wonderful !

brainly!

A bowl of fruit is on the table. It contains 3 apples, 2 oranges, and 5 bananas. Ethan and Jordan arrive home from school and randomly grab one fruit each. What is the probability that both grab an apple?

show work pls thanks!

Answers

Answer:

1/15

Step-by-step explanation:

There are a total of 10 fruits, 3 of which are apples.

The probability that the first selection is an apple is 3/10.

There are now 9 fruits remaining, 2 of which are apples.  So the probability that the second fruit is an apple is 2/9.

The total probability is (3/10) (2/9) = 1/15.

Find the area of each sector. Photo attached

Answers

Answer:

Area of sector: 48π in^2; Option D

Step-by-step explanation:

~ We can see that the bolded portion of the circle must be the the sector that we need to compute the area of... ~

Let us plan out this problem. If we were to find the area of the circle provided a radius of 12 inches, we could create a proportionality between the degree of the sector, and the degree of the circle ( 360 ) and the area of the sector and the area of the circle.

1. To calculate the area of this circle, let us apply the formula πr^2, such that r is 12 inches ( and let us keep π in terms of π ) ⇒ π * ( 12 )^2 ⇒ 144 * π ⇒ Area of Circle: 144π

2. Let us see this as a proportionality:

Degree of sector/ Degree of circle = Area of sector/ Area of circle

3. Now let us say x ⇒ Area of the sector. Substitute values into this formula, and solve for x through algebra:

120 / 360 = x / 144π,

120 * 144π = 360 * x,

17,280π = 360 * x,

x = 17,280π / 360,

Area of sector: 48π in^2

The volume of a cube is 500 cubic feet. What is the length of each edge of the cube?

Answers

Answer:

About 7.94

Step-by-step explanation:

The formula to find the edge of each side is V^1/3. And 500^1/3 is about 7.94

Answer:

i keep getting a different answer every time _-_ I'M LOSING MY MIND!!!

what is personal hygiene​

Answers

Answer:

personal hygine is taking care of ur face, hands and other parts of ur body

Step-by-step explanation:

Answer:

Personal hygiene is how you care for your body. This practice includes bathing, washing your hands, brushing your teeth, and more. Every day, you come into contact with millions of outside germs and viruses.

wat is 9+5-3-6-3-2=??

Answers

Answer:

0

Step-by-step explanation:

everything cancels out

Answer:

0 or nothing

Step-by-step explanation:

9 plus 5 minus 3 minus 6 minus 3 minus 2

14 minus 3 minus 6 minus 3 minus 2

   11 minus 6 minus 3 minus 2

        5 minus 3 minus 2

                2 minus 2

                       0

Everything thanks appreciate it

Answers

Answer:

433

Step-by-step explanation:

Break apart into 3 hundreds, 1 ten, and 2 ones.

745 - 300 = 445

445 - 10 = 435

435 - 2 = 433

marking braineist!!!
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3




how many 1/3 fraction unit cubes does it take to fill the prism?

Answers

Answer:

36 cubes

Step-by-step explanation:

Im pretty sure that you have to divide 4 by 1/3*1/3, so 4÷1/9 which is 36 do keep change flip to get 4/1 * 9/1 and multiply 4 by 9 to get 36/1 which is 36. I hope this helps

Sorry Im making an edit to this, i made a mistake, you have ot find the volume of the mini cube, so the volume would be 1/27 not 1/9 (which is the area) so the answer would be 108 sorry again

what is the answer -

Answers

Answer:the probability is 6/10 or 3/5

Step-by-step explanation:


What is the greatest common factor of 24s3, 12s4, and 18s?

Answers

Answer:

Step-by-step explanation:

The GCF if 24s^3, 12s^4 and 18s is

24s^3: 2^3 * 3 s s s

12s^4: 2^2 * 3 s *s* s* s

18s: 3^2 * 2 s

3s is the GCF

Q23. Which property is reflected in the following:
7 x 5=5 X 7
(a) Closure
(b) Commutative
Associative
(d) Distributive​

Answers

Answer:

B.) Communative

Step-by-step explanation:

The communitive property is when changing the order of the operands does not change the result. For this equation if you had it as 7 * 5 it would equal 35  and when it is 5 * 7 it would still equal 35.

A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. The formula for volume of a prism is V = Bh. The variable B stands for the . In this prism, B equals in.2. The variable h stands for . In this prism, h is in. The volume of the prism is in.3. This question is from e2020

Answers

Answer:

Variable B is the area of triangular base.

B = 38.5 [tex]in^{2}[/tex].

Variable h is the height of pyramid.

In the given prism, h is 9 inches.

The volume of prism is 346.5 [tex]in^{3}[/tex].

Step-by-step explanation:

Please refer to the attached image for the detailed labeling of all the sides.

[tex]\triangle ABC[/tex] is the triangular base of the prism.

BC is the base of triangular base of the prism.

AP is the height of triangular base.

Area of triangular base is represented by B and is calculated by following formula of area of a triangle.

[tex]Area = \dfrac{1}{2} \times \text{Base}\times \text{Height}[/tex]

[tex]\Rightarrow \dfrac{1}{2} \times 11 \times 7\\\Rightarrow 38.5\ in^{2}[/tex]

Hence, B = 38.5 [tex]in^{2}[/tex].

Height of prism, h = 9 in

h is represented as side BE in the attached image.

It is know that volume of prism is given as :

V = Bh

Putting values of B and h:

[tex]V = 38.5 \times 9\\\Rightarrow V = 346.5\ in^{3}[/tex]

Answer:

The formula for volume of a prism is V = Bh.

The variable B stands for the ✔ area of the base.

In this prism, B equals ✔ 38.5  in.².

The variable h stands for ✔ height.

In this prism, h is ✔ 9 in.

The volume of the prism is ✔ 346.5  in.³.

Explanation:

The answer above mine is correct. I hope this helps!

Find the area of the shaded Sector
A. 8pi
B. 6pi
C. 16pi
D. 4pi

Answers

Answer:

4pi

Step-by-step expla

because its pi is the circumference so its times 4

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, point, 5, right parenthesis, squared, plus, left parenthesis, y, minus, 3, point, 5, right parenthesis, squared, equals, 16 What is its center? ((left parenthesis ,,comma ))right parenthesis What is its radius? If necessary, round your answer to two decimal places. units

Answers

Answer:

The radius is 4 units long.

Step-by-step explanation:

The given equation is

[tex](x-0.5)^{2} +(y-3.5)^{2} =16[/tex]

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

[tex]r^{2} = 16\\r=\sqrt{16}\\ r=4[/tex]

Therefore, the radius is 4 units long.

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