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motikmotik
3 years ago
11

4 students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committ

ees that can be made.
Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

1365

Step-by-step explanation:

formula for combination

n!/r!(n-r)!

Andrej [43]3 years ago
7 0
We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange

in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365

the answer is
1365
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(8x2 - 4x-8)(2x +3x+2)
MArishka [77]

Answer:

(8x2−4x−8)(2x+3x+2)

=(8x2+−4x+−8)(2x+3x+2)

=(8x2)(2x)+(8x2)(3x)+(8x2)(2)+(−4x)(2x)+(−4x)(3x)+(−4x)(2)+(−8)(2x)+(−8)(3x)+(−8)(2)

=16x3+24x3+16x2−8x2−12x2−8x−16x−24x−16

=40x3−4x2−48x−16

Step-by-step explanation:

8 0
3 years ago
What is the constant in the algebraic expression to represent the patter below??
Hitman42 [59]

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

  • An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

15,11,7,3,-1,...

computing the differences of all the adjacent terms

11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4

The difference between all the adjacent terms of the pattern is the same which is

d=-4

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.

8 0
3 years ago
Please answer the question and leave an explanation on how to solve each part. Thank you in advance!
horsena [70]

The solutions are

  • it is going to take 15.9 months to raise 10000 dollars
  • You will have $37.31 after you have bought the car
  • The money deficit would be $37.31

<h3>How to solve the question</h3>

a. 10000 = 9359.08e(0.05)

e⁰⁰⁵ = 10000/9359.08

= 0.05 = ln(10000/9359.08)

= 1.325 years

convert to months = 15.9 months

Hence it is going to take 15.9 months to raise 10000 dollars

b. 9359.08 x e^(0.05 x1.25)

= 9962.69

10000 - 9962.69

= $37.31

You will have $37.31 after you have bought the car

c. The money loss and the deficit would be same as above $37.31

d. ln(e^a) = a

We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31

Read more on compound interest here: brainly.com/question/24924853

#SPJ1

3 0
1 year ago
A box rectangular prism has an end that is 3 by 5 ft in dimension it’s length is 10 feet what is the volume of the prism
Alchen [17]

Answer:

150

Step-by-step explanation:

Multiply 3 x 5 x 10

4 0
3 years ago
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