In how many ways can you select a committee of four students of a group of nine students?

Answers

Answer 1

Answer:

126

Step-by-step explanation:

n! / (r! (n-r)!)

In this case n = 9 and r = 4

9!/ (4! * (9-4)!)

9!/ (4! * 5!)

= 126

9! = 9x8x7x6x5x4x3x2x1


Related Questions

Assuming equal rates, 120 miles in 6 hours implies 150 miles in how many hours?

Answers

Answer:

9 hours

Step-by-step explanation:

What is the solution to the equation 3(y-2) = 2y-8

Answers

Answer:

y=-2

Step-by-step explanation:

3(y-2)=2y-8

3y-6=2y-8

3y-2y=-8+6

y=-2

Which of the following is the value of PQ ?

Helllp please

Answers

Answer:

B. 61

Step-by-step explanation:

Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.

Therefore,

[tex] RQ = SQ [/tex]

[tex] 3x + 16 = 7x - 24 [/tex]

Collect like terms

[tex] 16 + 24 = 7x - 3x [/tex]

[tex] 40 = 4x [/tex]

Divide both sides by 4

[tex] \frac{40}{4} = \frac{4x}{4} [/tex]

[tex] 10 = x [/tex]

[tex] x = 10 [/tex]

Find PQ:

[tex] PQ = 2x + 41 [/tex]

substitute x = 10 into the equation

[tex] PQ = 2(10) + 41 [/tex]

[tex] PQ = 20 + 41 [/tex]

[tex] PQ = 61 [/tex]

Given Triangle DEF has point D(-1,-5), E(-2,-1) and F(-4,-3) and is
rotated around the origin 90 degrees clockwise onto triangle D'E'F, what
are the coordinates of D'. E', and F?

Answers

Answer:

i think its f

Step-by-step explanation:


“I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."

Answers

Answer:

33x2=66

66-3=62

62x4=248

Is this a question for a test cause if it is i'm gonna feel embarrassed

I have 3 times as many nickels as quarters. How many quarters do I have if I have
a total of $2.40​

Answers

Answer:

18 Nickels, 6 Quarters

Step-by-step explanation:

For this problem, let's build a system of equations to find the number of nickels and dimes you have.  Let N represent the number of nickels and Q represent the number of quarters you have.

The first equation, you have 3 times as many nickels as quarters:

N = 3Q

The second equation, you have a total of $2.40.  Given we know nickels are $0.05 and quarters are $0.25:

0.05N + 0.25Q = 2.40

Now, let's use the two equations to find the number nickels and quarters you have.

N = 3Q

0.05N + 0.25Q = 2.40

0.05(3Q) + 0.25Q = 2.40

0.15Q + 0.25Q = 2.40

0.4Q = 2.40

Q = 6

Now, let's plug the value back into the equation:

N = 3Q

N = 3(6)

N = 18

And we can verify these values with the second equation:

0.05N + 0.25Q = 2.40

0.05(18) + 0.25(6) ?= 2.40

0.90 + 1.50 ?= 2.40

2.40 == 2.40

Therefore, we have found and verified the amount of Nickels and Quarters you have.

Cheers.

Simplify the expression.
(2x + 1/2) + (7x - 6 1/2)

Answers

Answer:

9x

Step-by-step explanation:

Which of the following options have the same value as 20% of 45

Answers

Step-by-step explanation:

Answer:-

The question says "20% of 45 ".

So, framing it , we get:-

[tex]\tt{\dfrac{20}{100}\times 45}[/tex]

So, solving it,

[tex]\tt{\dfrac{20\times 45}{100}}[/tex]

[tex]\tt{\dfrac{900}{100}}[/tex]

[tex]\tt{9}[/tex] is the answer.

Hope it helps :)

Please help im stuck. Integrated 2 Math.

Answers

Need more information~

*BRAINLIEST* Factor the expression given below. y^3 - 216​

Answers

Answer: -216 + y³

...............................

It’s difference of cubes, so you use the formula
(a-b)(a^2+ab+b^2)

Y^3-216
(y^2+6y+36)(y-6)

How do I write the equation to get the answer ?

Answers

Answer:

which type of equation just tell we are here to help if we can

Answer:  Take the information given in the situation. Consider the relationships between the amounts, numbers and unknowns that are in the description.

If the word "is" or "are" is included in the description, that is equivalent to an equal sign.

Words like "and," "also" "more than" and "combined" are clues that there may be addition. "Total" often means the sum of an addition equation.  

"From" and "difference" are clues that there is subtraction.

"Times" "by" and "of" art clues for multiplication. "Find the Area of. . ." dedinitely requires multiplication.

"Ratio," 'into' "per" and "among" are clues to division.

Use a letter x, y, d, t, or whatever helps identify the

Step-by-step explanation: Without a specific situation, it is impossible to give a specific answer.

Examples:  The total number of seats in the auditorium is 125. 75 tickets have been sold already. How many more tickets are left. (This is the unknown)

The Total is  the given 75 plus the unknown.

125 = 75 + x   is the equation to start with

What is three-fourths of twelve?  "What" is the unknown.

x = 3/4 × 12  is the  equation to start with.

The ratio of red marbles to blue marbles is 2:3  There are 25 marbles all together. How many red marbles and how many blue marbles.

In this question there are two equations

2r + 3b = 25 This is the equation for the total    r = 2b/3 is the division

Substitute the value of "r" from the second equation to solve the first equation

2(2b/3) + 3b = 25

1. Tess measures out two different paint colors for her new art project. She uses ounces of red paint and ounces of yellow paint to create the perfect shade of orange. How many ounces of orange paint does Tess have?​

Answers

Step-by-step explanation:

The value of the red and orange paint put together is equal to the amount of orange paint.

solve for the value of the variable x​

Answers

Answer:

[tex]\frac{-10}{3}[/tex]

Step-by-step explanation:

Cancel x+2 by multilying it with all terms.

x=2+4(x+2)

SImplify both sides

x=4x+10

Subtract 4 on both sides

−3x=10

Divide bot sides by -3

You get [tex]\frac{-10}{3}[/tex]

Glad to help.

Could someone please let me know these answers , thank you :)

Answers

Answer:

1: CD and BC

2: CE and AC

3: AE , AB , BD, DE

4: AD and BE

There you go!

Answer:

1) COB and DOC

2) EOC and AOC

3) AOB, AOE, EOD, and BOD

4) BOE and AOD

Step-by-step explanation:

An acute angle less than 90 degrees

An obtuse more than 90 degrees

A right angle is 90 degrees

A straight angle is a 180 degrees


solve: What number is 62% of 324? Round to the nearest hundredth.

Answers

Answer:

200.88

Step-by-step explanation:

324 · 0.62 = 200.88

(0.62 is equal to 62%)

Hope I helped :)

Please consider Brainliest :)

62% of 324 is 200 Round to the nearest hundredth.

What is percent?

In mathematics,a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now the given number is 324.

Given percentage is 62% or 0.62.

So for 62% of 324 we have,

62% of 324 = 0.62 x 324

or, 62% of 324 = 200.88

Now to round to the nearest hundredth we have

200.88 ≈ 200 round to the nearest hundredth.

Hence,  62% of 324 is 200 Round to the nearest hundredth

More about percent :

https://brainly.com/question/302226

#SPJ2

What is the best estimate for 59.87 - 42.1? A. 18 B. 22 C. 25 D. 30

Answers

Answer:

do you still need help on tge questio ?

26. Nicholas plans to spend more than 32 hours painting this week. He paints for
the same number of hours every weekday (Monday through Friday) and an
additional 7 hours on the weekend. Which number line shows the possible
number of hours that Nicholas paints every weekday?
&
O
&
O
&
O
&
O

Answers

Answer:

Answer is D

Step-by-step explanation:

The Martians are trying to destroy Earth by launching an anti-matter rocket (it will be disastrous it will hit earth). In response, Earth launches 500 missiles towards the rocket. Each missile will hit the rocket with probability 0.01, independently of other missiles. What is the probability that Earth will be saved, if at least 3 missiles must hit the rocket in order to destroy it before it hits Earth

Answers

Answer:

The probability the earth is saved is [tex]P(X >  3) = 0.8753 [/tex]

Step-by-step explanation:

From the question we are told that  

   The number of missiles lunched by earth is n =  500

   The probability that each missile will hit the rocket is  p(x) =  0.01

   

Generally the expected number of  missiles that will hit the rocket is  

    [tex] \lambda =  n  *  p(x)[/tex]

    [tex]\lambda =  500  *  0.01 [/tex]

    [tex]\lambda =  5[/tex]

Gnerally the probability that Earth will be saved is mathematically represented as

      [tex]P(X >  3) =  1 - P(X \le 2)[/tex]

=>    [tex]P(X >  3) =  1 -  P( X = 0 ) + P(X =1 ) + P( X = 2) [/tex]

Gnerally the probability distribution function of a Poisson distribution is

      [tex]P(K) =  \frac{e^{- \lambda t } *  (\lambda *  t)^k}{k!}[/tex]

Here t =  1

Hence

      [tex]P( X = 0 ) =  \frac{e^{-5} *  5^0 }{0!}[/tex]

      [tex]P(X =1 ) =\frac{e^{-5} *  5^1 }{1!}[/tex]

     [tex]P( X = 2) = \frac{e^{-5} *  5^2 }{2!}[/tex]

 [tex]P(X >  3) =  1 - [ \frac{e^{-5} *  5^0 }{0!} + \frac{e^{-5} *  5^1 }{1!} +  \frac{e^{-5} *  5^2 }{2!}][/tex]

[tex]P(X >  3)= 1 - [ \frac{0.00673 }{1} + \frac{0.033689}{1} +  \frac{0.168449 }{2}][/tex]

[tex]P(X >  3) = 0.8753 [/tex]

Can someone help me with this?

Answers

Answer:

Option 2 4y + y = 45

Step-by-step explanation:

If one angle of a set of vertical angles measures 63°, the sum of the vertical angles is °?

Answers

Answer:

126

Step-by-step explanation:

the answer is 126 degrees, °

Find the values for a, b, c, from the number line

Answers

Answer:

A is 1/2 B is -5 and C is 3

Step-by-step explanation:

because it start at 0 and A is not on the 1 it is on the half B is 5 backwords and C is 3 spaces

PLEASE HELP ME WIT DIS

Answers

Answer:

B

Step-by-step explanation:

it would be B because of the answer is-5/8 lol

Answer:

A

Step-by-step explanation:

None of the other answer made since.

Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model the situation and solve it. Use variable p for the original price. Round to the nearest hundredth.

Answers

Answer:

The original price is 37.38

Step-by-step explanation:

I'm tired and don't want to explain too much but you get 30 percent then add that number to the first price.

If the value of two integers differs by 3, and the product of the two integers is 108, what is the sum of the two integers?
A.21
B.19
C.25 D.23

Answers

Answer:

A

Step-by-step explanation:

Let the smallest number be n.

If the next integer differs by 3 then:

n + 3 is our second integer.

If the product is 108 then we would multiply them together.

n * (n + 3) = 108    Now solve for n.

(n*n) + (n*3) = 108

[tex]n^{2} +3n = 108[/tex]     Now we move 108 to the other side by subtracting so we can factor.

[tex]n^{2} + 3n - 108 = 0[/tex]

(n       )(n       ) = 0    

Find all the multiples of 108

1 x 108

2 x 54

3 x 36

4 x 27

6 x 18

9 x 12

Which one can we add or subtract together to get 3?

9 x 12    because 12 - 9 = 3

[tex]n^{2} + 3n - 108 = 0[/tex]

(n    12)(n     9) = 0    Now we figure out the signs. Since we have -108 one must be negative, and the 3 in the 2nd term (3n) is positive so:

(n + 12)(n - 9) = 0   Is our factored equation.

Our smallest number is 9, so n = 9

Our second number is n + 3 and 9 + 3 = 12

So our 2 integers are 9, 12, there sum would be 9 + 12 = 21

Option A.

I’ll mark Brainly! The diagram models a numerical equation. What does line A represent?
A) −2
B) −6
C) +2
D) +6

Answers

Answer:

I think it's A.-2

Step-by-step explanation:

Because it's going backwards from zero by two lines so I think it's -2 Hope it's right

Yep me and my mom and I are going to

The length of a rectangle is 11 feet more than the width. If the perimeter is 46 feet, then what is the length of the rectangle, in feet?

Answers

Answer:

Hi there!

Your answer is:

The length is 17

Step-by-step explanation:

L= 11+w

P=46

perimeter formula:

W+W+L+L = P

W+W+(11+w)+(11+w) = P

First solve for W

4W+22 = 46

-22

4w=24

/4

w=6

Now plug in W for the L formula

l=11+w

L= 11+ 6

L=17

What is 1/4 of 36500000 in scientific notation

Answers

Answer:

1.46 X [tex]10^{8}[/tex]

Step-by-step explanation:

How many different 2-scoop combinations can you make if you are choosing among 4 different flavors?

Answers

Answer:

8

Step-by-step explanation:

4x2

Can two planes contain the same point

Answers

Answer:

SOLUTION: Postulate 2.5 states if two points lie in a plane, then the entire line containing those points lies in that plane. Therefore, the statement is always true. ... The intersection of two planes can be a point. SOLUTION: Postulate 2.7 states if two planes intersect, then their intersection is a line.

Step-by-step explanation:

Melissa is buying a sweater. The original cost of the sweater is $18.00. The sweater is 15% off, and the sales tax is 8%. How much will the sweater cost?

Answers

Answer:

$14.07

Step-by-step explanation:

100-15=85

You change this into a multiplier 0.85.

18x0.85=15.30

100-8=0.92

0.92x15.30=14.07

Hope this helps you

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