1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yarga [219]
3 years ago
15

(8!)/(3!). Show work

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

6720

Step-by-step explanation:

8! = 8x7x6x5x4x3x2 = 40320

3! = 3x2 = 6

40320 / 6 = 6720

Hope this works!

You might be interested in
3273 is least or greather to 3279
slega [8]
3279 is greater than 3273
7 0
3 years ago
Read 2 more answers
The probability that two people have the same birthday in a room of 20 people is about 41.1%. It turns out that
salantis [7]

Answer:

a) Let X the random variable of interest, on this case we know that:

X \sim Binom(n=20, p=0.411)

This random variable represent that two people have the same birthday in just one classroom

b) We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

P(X\geq 1 ) = 1-P(X

And we can find the individual probability:

P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253

And then:

P(X\geq 1 ) = 1-P(X

And since we want the probability in the 3 classes we can assume independence and we got:

P= 0.99997^3 = 0.9992

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Part a

Let X the random variable of interest, on this case we know that:

X \sim Binom(n=20, p=0.411)

This random variable represent that two people have the same birthday in just one classroom

Part b

We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

P(X\geq 1 ) = 1-P(X

And we can find the individual probability:

P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253

And then:

P(X\geq 1 ) = 1-P(X

And since we want the probability in the 3 classes we can assume independence and we got:

P= 0.99997^3 = 0.9992

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

4 0
3 years ago
I need help with solving these math problem whoever gets them correct I mark brainliest!!!!
Margarita [4]

Answer:

red side is a leg and should be labeled a or b, the pink side is a leg and should be labeled a or b, and the light blue side is the hypotenuse and should be labeled c.

3=a or b

4=a or b

5=c

Step-by-step explanation:

7 0
2 years ago
Consider the sphere enclosed by the cylinder. If the diameter of the sphere is 12 cm, what is the volume of the cylinder? A) 36π
kogti [31]
To find the volume of a cylinder , you will use the formula
V = Bh, where B is the area of the circular base.
Pi x r^2 x h
pi x 6^2 x 12
V = 432
The volume of the cylinder is 432pi cm³.
6 0
3 years ago
Read 2 more answers
25 points!!!! HELP ANSWER!
Fantom [35]

Answer:

a) 1st and 2nd

b) 4th one

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Vroom Vacuums sells the Tornado vacuum cleaner. Each Tornado has a one-year warranty that covers any product defects. When custo
    7·1 answer
  • - b = 14.89, C = 77°, c = 17.11
    10·1 answer
  • CAN YOU HELP ME PLEASE
    14·1 answer
  • a cookie recipe uses 3 cups of flour to make 15 cookies. How many can you make with this recipe with 4 cups of flour?
    7·1 answer
  • Draw two possible rectangles for a perimeter of 8 units
    13·2 answers
  • Rewrite the expression in the picture in the form y^n.
    13·2 answers
  • Find x in the diagram
    11·1 answer
  • Put the following list of numbers in ascending order. 1.2, 0, -0.4,-2.6,0.8
    5·2 answers
  • Tenia began reading a book in her English class. She read 75 pages in class before winter break. Tenia reads the same number of
    8·1 answer
  • On a certain day, the temperature changed at a rate of -2O per hour. How long did it take for the change in temperature to be -1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!