In how many ways can 3
person study groups be
selected from a class of 25
students?

Answers

Answer 1

There are 2300 ways by which we can select 3 students out of 25 students.                        

What is Combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here total number of Students = 25

         Number of selection = 3

Now,

Total number of ways by which we can select 3 out of 25  = ²⁵C₃

                                                                                               = 25!/3!.22!

                                                         = 25 X 24 X 23 X 22! / 3X2X1 X 22!

                                                         = 13800 / 6

                                                         = 2300

Thus, there are 2300 ways by which we can select 3 students out of 25 students.                

Learn more about Combinations from:

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Related Questions

Find the surface area of the square pyramid

Answers

Answer:

The surface area of the square pyramid is 40 units².

Step-by-step explanation:

As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:

[tex]A=2bs+b^2[/tex]

From the figure, it is clear that

length of its base = 'b' = 4slant height = 's' = 3

substituting the values in the formula

[tex]A=2bs+b^2[/tex]

[tex]A=2\left(4\right)\left(3\right)+\left(4\right)^2[/tex]

    [tex]=2\left(4\right)\left(3\right)+16[/tex]

    [tex]=40[/tex]

Therefore, the surface area of the square pyramid is 40 units².

Find the slope of the line graphed below.

Answers

Answer:

slope = 5/3

Step-by-step explanation:

(in case you need it in intercept form)

y = 5/3 + 1

Find the value of s(5) in function s(x)=2^x+10

Answers

Answer:

42

Step-by-step explanation:

For this, all you need to do is replace x with 5

S(5) = 2^5 + 10

2 x 2 x 2x 2 x 2

4 8 16 32

32 + 10 = 42


Q2) The graph shows the speed of a firework shell during a flight of 20 seconds:
250
200
150
(s/u) paads
100
50
O
2
4
6
8
10
12
14
16
18
20
Time (s)
a) Work out the rate of change during the first 4 seconds.
b) Work out the rate of change between 8 seconds and 12 seconds.

Answers

Answer:

a. 37.5

b. 25

Step-by-step explanation:

a. Rate of change the first 4 seconds can be calculated using the points (0, 0) and (4, 150):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{150 - 0}{4 - 0} = \frac{150}{4} = 37.5 [/tex]

b. Rate of change between 8 seconds and 12 seconds using the points (8, 150) and (12, 250):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{250 - 150}{12 - 8} = \frac{100}{4} = 25 [/tex]

Courtney needs to go to the library, the doctor's office, and her friend's house. How many different ways can she make the stops?

Answers

Answer:

6 different ways

It’s the red one but tell me why plz now hurry 4 min left

Answers

Answer:

you can plug in x to find y then use them as coordinates to find your answer.

Step-by-step explanation:

ex:

y=((1)-4)^2-3

y= (-3)^2-3

y=9-3

y=6

so then check to see if (1,6) is a point in that line.

What is the value of X

Answers

Answer:

20 degrees

Step-by-step explanation:

Y is 90 degrees.

lets find the measure of the other angle, 180-110 is 70.

using this info let’s find X.

180-(70+90)

180-160

20

Ms. Santana paid $46 for 5 candles. Each candle cost the same amount. What was the cost of each movie candle in dollars and cents?

Answers

Answer:

$9.20

Step-by-step explanation:

Answer

9.20

Step-by-step explanation:

Plz helppp
1 7/9 divided by 4/5
* In the lowest terms*
(NO DECIMAL ANSWERS)

Answers

Answer:

2 2/9

Hope this helps!

Question Progress
Homework Progres
Solve the inequality 5x – 7 > 4x + 8

Answers

Answer:

x > 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define inequality

5x - 7 > 4x + 8

Step 2: Solve for x

Subtract 4x on both sides:                    x - 7 > 8Add 7 on both sides:                             x > 15

Here we see that any value x that is greater than 15 would work as a solution to this inequality.

Simplify the expression: 18.1 - 1.1(7.4 - 9.6 + 0.5) please show your work!

Answers

Answer:

19.97

Step-by-step explanation:

18.1 - 1.1 x (7.4 - 9.6 + 0.5)

18.1 - 1.1 x (-2.2 + 0.5)

18.1 - 1.1 x (-1.7)

18.1 + (1.87)

19.97

The simplified value of the expression 18.1 - 1.1(7.4 - 9.6 + 0.5) is 36.8.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression  18.1 - 1.1(7.4 - 9.6 + 0.5).

let us multiply each term of the expression to remove the decimal.

∴ 181 - 11(74 - 96 + 5).

= 181 - 11(-17).

= 181 + 187.

= 368 but the actual answer is 36.8 as we have to divide by 10.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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HEY BIT**ES I FINESHED MAH MAKEUP AND I NEED YALL FINE A**ES TO RATE ME

Answers

Answer:

THIS IS WORTH $1,000,000!!! DEFINITELY 100/10 LIKE FOR SURE!!!! :)))))

Answer:

I LOVE IT 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/10 beautiful

I WILL MARK BRAINLIEST! DUE IN 10 MINS!
Write an expression to represent the situation.
A fire jet flies at an altitude of 25,000 feet and then dives to a depth of 600 feet below sea level. What is the difference in its elevation?

Answers

Answer:

25,600 feet in difference

Step-by-step explanation:

If the jet is 25,000 feet above sea level then dives 600feet below sea level that will be 25,600 feet in difference.

25,000 - - 600

25,000 + 600

25,600

Two similar triangles are shown below




Which two sets of angles are corresponding angles?
a. < a and b. c. d. if someone could help plz do :(

Answers

Answer:

a

Step-by-step explanation:

a and d and b and c share the same symbol that represents their angle. therefore, they are corresponding.

what is 2x^2+3x-7=x^2+5x+39

Answers

The answer for this equation is 68

36 - 7 (8+6-9) what is the answer to this question

Answers

Answer:

The answer is 1.

Step-by-step explanation:

=36 - 7 (8+6-9)

=36-56-42+63

=-20-42=-62+63

=1

Answer:

36-7(8+6-9)

29(5)

145

Please help me please thank you so much in advance

Answers

Answer:i think its 90 degrees ?

Step-by-step explanation:

what is 25 divided by 9

Answers

Answer:

25/9=2.77777777778

Step-by-step explanation:

how do you add or subtract [-10]+12

Answers

Answer:

it is really just 12-10 because 10 is negative think of it as you are taking away ten from the original 12 you have so the answer is 2

Answer:

2

Step-by-step explanation:

Add 12 to -10

10+-10=0+2=2

Need answers ASAP 15 points!

Answers

Answer:

Step-by-step explanation:

Part A: 5/26

Part B: 5/26+ 1/2 which is 18/26 or 9/13

Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.


Can anybody help me on this please

Answers

Answer: -53, 53

Step-by-step explanation:

It’s asking for the slope first, so let’s find it:

First, let’s determine our coordinates.

We have (1, 930) and (6, 655).

The slope equation is [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex], so let our (1, 930) be our x_1 and y_1, and (6, 655) be our x_2 and y_2.

So, we have,

= [tex]\frac{655-930}{6-1}[/tex]

This simplifies to

= [tex]\frac{-265}{5}[/tex]

which is -53.

Therefore, the slope is -53, so the balance decrease by $53 each month.

Which expression is equivalent to
(3) ?(-3)^2



HELP PLEASE

Answers

Always accidentally scroll to far in someone’s Instagram without noticing and write the whole bee movie script? Just me? Okay

What is the value of x?
A.22
B.38
C.42
D.5

Answers

Answer: B) 38

Step-by-step explanation:

1) [tex]x+(x+6)+(3x-16)=180[/tex] (sum of angles in triangle)

2) [tex]5x-10=180[/tex] (Algebra)

3) [tex]5x=190[/tex]

4) x= 38 degrees

Answer: x = 38

Step-by-step explanation:

1) Add 3x - 16 and x + 6 and x together. You get 5x - 10.

2) All sides of a triangle equals 180 degrees, so that means 5x - 10 = 180.

3) Add 10 to both sides, 5x = 190.

4) 190/5 = 38

5) 38 is your answer.

The table shows the derivation of cos(2x). Select the
correct reason for each step.

Answers

Answer:

Reason 1 is: Addition

Reason 2 is: Sine Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

just did it on edge

Answer:

1: Addition

2: Cosine Sum Identity
3: Simplify

Step-by-step explanation:

I NEED HELP FIJCMIEDF

Answers

Answer:

i sure for the bottom one is 3

The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from a simple random sample of size n. Bold (a )What percent of sample proportions results in a 90​% confidence interval that includes the population​ proportion? Bold (b )What percent of sample proportions results in a 90​% confidence interval that does not include the population​ proportion?

Answers

Complete Question

The horizontal axis in the sampling distribution of [tex]\^p[/tex] represents all possible sample proportions from a simple random sample of size n.

a. What percent of sample proportions results in a 90​% confidence interval that includes the population​ proportion?

b. What percent of sample proportions results in a 90​% confidence interval that does not include the population​ proportion?

Answer:

a

 90% of  all possible sample proportions

b

 (100% - 90% = 10% ) of  all possible sample proportions

Step-by-step explanation:

Generally given from the question that the horizontal axis of a represent all possible sample proportion then then the percent of the sample proportion that result in 90%  interval that includes the population​ proportion is   90% of  all possible sample proportions

Generally given from the question that the horizontal axis of a represent all possible sample proportion  then the percent of the sample proportion that result in 90%  interval that does not include the population​ proportion is   (100% - 90% = 10% ) of  all possible sample proportions

Can someone please help me, I really need it

Answers

Answer:

∠EGA = 123°

∠EHD = 57°

Step-by-step explanation:

Determine the measure of ∠EGA:

Since ∠EGB and ∠EGA make up the angle of a straight line (180°):

∠EGB+∠EGA = 180

57+∠EGA = 180 (given that ∠EGB = 57°)

∠EGA = 123°

Determine the measure of ∠EHD:

∠EHD = ∠EGB (corresponding angles of parallel lines are equal)

∠EHD = 57° (given that ∠EGB = 57°)

Hope this helps :)

Which digits repeat in the decimal number 28.1543?
1543
543
3
43

Answers

Answer:

43

Step-by-step explanation:

there is a line above the 43, meaning that it ends in 434343434343434343434343434343...... You get the point.

Answer:

43

Step-by-step explanation:

what is what3 2/3 + 3/5 as a fraction brainly

Answers

have u tried socratic

Answer:

It is 4 4/15

Step-by-step explanation:

We convert 2/3 and 3/5 to fifteenths because we cant add numbers with different denominators.

2/3 = 10/15  |  3/5 = 9/15

10/15 + 9/15 = 19/15 = 1 4/15. Then, we add the 3.

3 + 1 4/15 = 4  4/15.

Write an equivalent expression

-3 + 2/3y - 4 - 1/3y

Answers

Answer:

join the y-related together and the others together

ie -7+1/3y

thats the shortest form one can drill down to, so that should be the answer

Step-by-step explanation:

To write an equivalent expression, we need to simplify the given expression by combining like terms. Like terms are terms that have the same variable and exponent. We can use the distributive property to remove parentheses or other grouping signs to then combine like terms.

The given expression is -3 + 2/3y - 4 - 1/3y. We can see that there are no parentheses or grouping signs, so we can skip that step. We can also see that there are two like terms: 2/3y and -1/3y. We can combine them by adding their coefficients: 2/3 + (-1/3) = 1/3. So, we get:

-3 + 2/3y - 4 - 1/3y = -3 - 4 + (2/3 - 1/3)y = -7 + (1/3)y

This is the simplified expression that is equivalent to the given expression.

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Please help, this will save my grade!!!Option B Respond to each of the following questions in a complete paragraph of your own words. Be sure to include supporting details from this lesson in your responses.How did the new technologies of WWI affect soldiers fighting on the front lines? Please include at least three examples of new technologies in your answer.How did women get involved in the war effort abroad? Please include at least two examples in your answer.How was the war experience of a minority soldier different from that of a white soldier? Please include at least three examples in your response. -27 - (-8)=A -35B -18C 19D 35 Which number line represents the solutions to |x - 2|= 6? PLEASE ANSWER THIS IS REALLY IMPORTANT!!! Why did the framers of the Constitution include the concept of limited government?A: to promote businessB: to help the legislative branchC: to help the judicial branchD: to prevent tyranny Compare the benefits and problems of creating power with wind power plants and nuclear power plants. .What strategy does the defense lawyer use to explain Jefferson's behavior What do sclerenchyma and collenchyma have in common? They are both thin-walled. They are both dead cells. They both function for support. They both function for food production and storage. The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in the a:b form) What is indulgence?a. A certificate purchased from the churchb. Money payed to the ChurchA. guaranteed spot in heaven for the purchaserd. All of the Abovec. Samara runs 5 miles in 40 minutes if she continues running at the same pace how many minutes will it take her to run 13 miles Can someone help me with this question thx The renaissance was a reawakening of the viking cultureQuestion options: True False heyo! me again, with another original song ! this one is called 'calmandcomposed'. use those inner mean girl skills to tell me what i did wrong in this one.i smile around but look to the ground and i feel your eyes on meim feeling whispers of people in my head alreadythey say that im too young to feel the feelings that i havetell that to my wrists which i wear scar cladtell that to my therapist who everydaywatches as i slowly fade awayand im in pain. but i keep calm and composedin my head, every day rain but ill keep calm and composedmy happiness. just a face i plaster on. my sadness. stays a face i only donwhen im at home. and im not calm and composed. when i can be alone. i dont stay calm and composedmaybe they would take back all the shes so happy muttersmaybe if they didnt see me with my head in the guttersmaybe if they saw that when im home and aloneim in pain. im not as calm and composed. if they heard my heads rain. and its not calm or composedwell then maybe theyd know that im no happy foe but i just staycalm and composed The average acceleration is the ratio of which of the following quantities? Tylers brother earns a commission. He makes 3.4% of the amount he sells. Last week, he sold $760 worth of shoes. How much was his commission? A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before that student comes back, another teacher drops in and selects another student at random for another task. What is the probability that a girl was selected both times? A baseball is thrown straight upward with a speed of 30 m/s. (a) How long will it rise? (6) How high will itrise? (c) How long after it leaves the band will it return to the starting point? (ch) When will its speed be16 m/s? The major geographic features of Pacific South America include:A. ice-covered tundra.B. high mountain ranges.OC. flat, fertile farmland.D. enormous rain forests.SUBMIT Use the following map to answer this question: Which geographical feature is located at letter E? Persian GulfMesopotamiaArabian PeninsulaRed Sea