The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means

there can only be 2.5 different committees because you can't subtract 3 from 8

Answer 2

Answer:

125790 different committees can be chosen.

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council.

We need to find How many different committees can be chosen?

Since the order is not important, so we use Combinations to solve the question.

The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]

In the question given: we have n = 20 and r = 8

Putting values and finding the number of ways committees can be chosen:

[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]

So, 125790 different committees can be chosen.


Related Questions

What is the values of 6.6.6.6

Answers

Step-by-step explanation:

I just need points sorry

Answer:

1296

Step-by-step explanation:

6 times 6 = 36 and 36 times 6=216 and 216 times 6 = 1296

I will give you a brainlists if u answere correct what is 59267+1726548=?

.I will put the answere in my next post

Good luck

Answers

Answer:

The answer is 1,785,815

1,785,815 their is your answer

Find the gcf of X^2-5x

Answers

Answer: This answer is 1

Step-by-step explanation: Plzz mark brainliest - Lily ^_^

PLS ANSWER ITS DUE IN 5 MINUTES

Answers

Pi is the ratio of the circumference of a circle to its diameter, D

Answer:

D.

Step-by-step explanation:

is the ratio of the circumference of any circle to the diameter of that circle

p(x) = -2x – 2; Find p(-3)

Answers

p(-3)= -2(-3) -2
p(-3)= 6-2
p(-3)= 4
The answer is p(3)=4

5 ⋅ x = 12

what is x?

Answers

Answer:

x is 2.4

Step-by-step explanation:

i need help with both please this is due in 10 minutes

Answers

Answer: the first one is a function. the second one is not.

which two expressions are equivalent?
A) 5x-5 and 5(x-5)
B) 5(x-5) and 5x-25
C) 5x-1 and 5(x-5)
D) 5x(x-1) and 5x-5
I need help asap thank you :)​

Answers

Answer:

b

Step-by-step explanation:

 this one is really hard

Answers

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

The data set shows the numbers of pages in the books on a reading list

Answers

What? I need a question here

find the value of x that makes def ~ xyz
x=​

Answers

Answer:

x = 3.5

Step-by-step explanation:

[tex] \triangle DEF \sim \triangle XYZ\\\\

\therefore \frac{DE}{XY} =\frac{DF}{XZ} \\\\

\therefore \frac{5}{7.5} =\frac{7}{3x} \\\\

\therefore 3x = \frac{7.5\times 7}{5} \\\\

\therefore x = \frac{7.5\times 7}{3\times 5} \\\\

\therefore x = \frac{52.5\times 7}{15} \\\\

\therefore x = 3.5[/tex]

Step-by-step explanation:

If [tex]\triangle[/tex]DEF~[tex]\triangle[/tex]XYZ

[tex]\tt{\dfrac{DE}{XY}=\dfrac{EF}{ZY}=\dfrac{DF}{XZ} }[/tex]

According to the question

[tex]\tt{\dfrac{5}{7.5}=\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{ 9x=4.5×7}[/tex]

[tex]\tt{ 9x=31.5 }[/tex]

[tex]\tt{ x=\dfrac{22.5}{9} }[/tex]

[tex]\tt{x=3.5 }[/tex]

PLEASE HELP IM NOT GOOD AT MATH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jimmy was walking to get the mail; at which time he fell into a hole and broke his ankle. He has a PPO insurance plan. His total bill was $2,000. If Jimmy has a $1,000 deductible with an 80/20% co-insurance, how much total will Jimmy have to pay out of pocket? Show your work.

Answers

Answer: $200

Step-by-step explanation:

Since there is a deductible here, you deduct it from the total bill first:

= 2,000 - 1,000

= $1,000

With an 80/20% coinsurance plan, you will pay for 20% of this bill and your insurance company will pay 80%.

You will therefore pay:

= 1,000 * 20%

= $200

HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?

Answers

Answer: y = -2/3x + 5/3

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = b

I need answers to these please number them.

Answers

1.) 37

2.) -16

3.) 11

4.) 1

Step-by-step explanation:

PLS HELP!

Match each division expression to its quotient.

Answers

D equals to 2
B equals to 3
A equals to -2
C equals to -3

Answer:

3 3/7 divided by 1 1/7 = 3

16/(-8) =  -2

2 2/5 divided by 4/5 = -3

-12.2/(-6.1) = 2

Step-by-step explanation:

Turn the mixed numbers into improper fractions and work from there. Then, make sure to find the reciprocal of the second fraction/number. For example,

3 3/7 = 24/7

1 1/7 = 8/7

24/7 (7/8) = 3

Hope this helped, but if you need more help then make sure to communicate with your teacher. This will help you out in the future.

A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?

A. 2 items
B. 4 items
C. 38 items
D. 40 items

Answers

The answer is
B.) 4 items
4 items it’d what the other person said

Which polynomial is in standard form?

Answers

Answer:

The image is black

Step-by-step explanation:

Comment on this answer and edit the image. I will then tell you what the answer is.

The cost of a jacket was originally 40$ It was on sale for 20% how much did they save

Answers

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00

6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term​

Answers

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?

Answers

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units

A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.

Answers

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

PLEASE HELP ⚠️⚠️

Elena began to solve this equation: 12x +6(4x + 3) = 6(6x + 4) - 6 12x + 24x + 18 = 36x + 24 - 6 when she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell without finishing?​

MARKING BRAINLIEST IF YOU ACTUALLY TRY​

Answers

Answer:

Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1

Step-by-step explanation:

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given as,

12x +6(4x + 3) = 6(6x + 4) - 6

Simplify the equation, then we have

12x +6(4x + 3) = 6(6x + 4) - 6

12x + 24x + 18 = 36x + 24 - 6

36x + 18 = 36x + 18

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?

Answers

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

solve the system of equations y = -2x and y = x - 3 what is the y value of your solution

Answers

I’m not sure of the answer

which of the answers are correct? there is possibly more than one.

Answers

Answer:

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]

Required

Select equivalent expressions

Multiply through by 2

[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]

[tex]2*A = h(b_1 + b_2)[/tex]

[tex]2A = h(b_1 + b_2)[/tex]

Divide through by h

[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]

[tex]\frac{2A}{h} = b_1 + b_2[/tex]

Subtract b1 from both sides

[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]

[tex]\frac{2A}{h} -b_1= b_2[/tex]

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

From the list of options, there is only one answer

The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answers

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

8 of 10
Richard can type 100 words a minute.
How many words can be typed in 3.5 minutes?

Answers

Answer:

350

Step-by-step explanation:

He can type 350 words in 3 minutes. because 3 times 100 is 300 and 0,5 times 100 is 50 so 350

what is the coefficient of y in 1 x 4 + 7y

Answers

Answer: The coefficient, which in this case is the numerical coefficient, is 7. Hope this helps (:
The coefficient would be 7. The coefficient means the number before a variable. In this case the variable is Y and the number before it is 7. Hope this helps, please mark brainlist?

Kiran wants to know if there is more efficient way of solving the problem. Oriya says she can solve the problem with only 2 rows in the table. What do you think Priya's method is? Use the sketch to show work on how Prius would get their answer.

Answers

Ummmm I think 5 I rlly don’t know though sorry

Answer:62.5

Hello

Step-by-step explanation:

1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)

2.50x1.25=62.5

Hope this helped

Or I might be wrong Im not sure yet.

Part A
Joseph runs 2 1/2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

Answers

Answer:

The answer is C

Number of days= 21/8

Step-by-step explanation:

The inequality to represent the given situation is [tex]2\frac{1}{2}+1\frac{1}{3} \le6[/tex]. Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Joseph runs [tex]2\frac{1}{2}[/tex] miles on Monday. Each day after that, he runs the same [tex]1\frac{1}{3}[/tex] mile route every morning.

Let the number of days be x.

Here, the inequality is

[tex]2\frac{1}{2}+1\frac{1}{3} \le6[/tex]

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

Other Questions
PLEASE ANSWER: Which two ratios represent quantities that are proportional?A. 3/4 and 5/12B. 32/20 and 22/10C. 45/18 and 35/14D. 7/5 and 14/9 Which inequality is true Some patients who are given a sugar pill to treat headaches feel much better this is an example of: D: control affect A: placebo effect B: randomization effect c: experimental effect write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a Analyze the map below and answer the question that follows.A map of Latin and South America. All of the countries are highlighted except for Brazil. Brazil is circled.Image by YugWhich country colonized the region that is highlighted and circled on the map above?A.SpainB.EnglandC.FranceD.Portugal suppose the national bank of commerce has excess reserves of 8000 and outstanding checkable deposits and 150000 if the reserve ratio is 20 percent, what is the size of the banks actual reserves What equation in slope intercept form represents the line that passes through the two points?(2, 5), (7, 1) HELP NEEDED HELP NEEDED! Michael wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Michael could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t. what feeling or images does the phrase brumal sleep suggest? Why? Solve theright triangle Who's the PM of India ? Investigate and explain that when a force is applied to an object but it does not move, it is because another opposing force is being applied by something in the environment so that the forces are balanced.The diagram below shows a box lying on a wedge. Two opposite forces are acting on the box. (1 point)Force 1 acting downward and Force 2 acting upward on a square box lying on a wedge.If the box is stationary, which of the following is true about force 1 and force 2?1. Force 1 Force 2 Comparison of Forces Gravity Friction Force 1 is stronger than Force 22. Force 1 Force 2 Comparison of Forces Friction Gravity Force 2 is stronger than Force 13. Force 1 Force 2 Comparison of Forces Gravity Friction Force 1 is equal to Force 24. Force 1 Force 2 Comparison of Forces Friction Gravity Force 1 is equal to Force 2 Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this change. What is another way to write this expression? Please hurry I need help bad A stationer purchased 5 dozen of pens atRs 25 per price and sold 24 per piea() Find his loss() Findhis loss percent. please help asap!!!!!!!!! 4.Figure ABCD is similar to figure RSTU.What is the length of side RU?a.3cmb.3.2cmc.3.5cmd.4cm How do you say whale in Spanish in need help? three pounds of flour cost $1.65. how much flour do you get per dollar? round your answer to the nearest hundredth.