MATHEMATICS HIGH SCHOOL

There are 9 performers who are to present their acts at a variety show. How many different ways are there to schedule their appearances

Answers

Answer 1
Answer:

The number of ways to schedule their appearances is 362880

How to determine the number of ways to schedule their appearances?

The number of performers is given as:

n= 9

Assume that the performers can only perform one after the other;

The number of ways their appearances can be scheduled is:

Ways = 9!

Expand

Ways = 9 * 8 * 7 * ... * 1

Evaluate

Ways = 362880

Hence, the number of ways to schedule their appearances is 362880

Read more about factorials at:

brainly.com/question/11732255
Answer 2
Answer: For this type of question it is easiest to think about it in terms of a simple multiplication. The way we can do this is by working out how many possibilities there are for each position on the program. This is as follows:
For the first act, there are 9 possible performers we can pick
For the second act, because we have already assigned a performer to the first act, there are only 8 possible performers
For the third act, because we have already assigned a performer to the first two acts, there are only 7 possible performers
This goes on and on until we reach the final act, where we have used all the performers except one.
Therefore we can say:
For the first act there are 9 possibilities
For the second act there are 8 possibilities
For the third act there are 7 possibilities
For the fourth act there are 6 possibilities and so on
If we want to write this mathematically we can just say that there are:
9 possibilities x 8 possibilites x 7 possibilities etc right down until we are at the final act where there is 1 possibility.
To write this out as an equation we just say:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = the number of different ways
In maths however, we have a much simpler way of saying this, which we call "factorial".
That whole stream of numbers up there can just be said to be "9 factorial", or if we are writing it in an equation "9!". You may find that your calculator has a button which has an "!" on it. If you put in the number of performers and then press the "!" button, it will give you the answer to your question.
Hope this helped you :)

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Equation of (0,2) , (2,5)

2k + 5 — 7k = 8 + 3

I need someone to help me out with this one please.

Answers

2k + 5 - 7k = 8+3
-5k + 5 = 11
-5k = 6
k= -6/5

Answer:

-1.2

Step-by-step explanation:

2k+5-7k=8+3

2k-7k+5=11

-5k=11-5

-5k=6

-5k/5=6/5

k=-1.2

Work out 3/4 - 1/6
Give the answer in the simplest form

Answers

(3)/(4)-(1)/(6)=(3 * 3)/(4 * 3)-(1 * 2)/(6 * 2)=(9)/(12)-(2)/(12)=(9-2)/(12)=(7)/(12)
(3)/(4)- (1)/(6) = (3\cdot3)/(4\cdot3) - (1\cdot2)/(6\cdot2) = (9-2)/(12) [tex]= \boxed {(7)/(12) }

Find the probability distribution for the following function:P(x) =for x = 4, 6, and 8



P(3) = 2, P(5) = 3, P(7) = 4

P(3) = 9, P(5) = 10, P(7) = 11

P(3) = 1, P(5) = 2, P(7) = 3

P(4) = 3, P(6) = 4, P(8) = 5

Answers

Hello,
sorry, I haven't understood the question.

ANSWER D:
the probability must be defined for 4,6,8
P(4)=3
P(6)=4
P(8)=5
But probability must be <1

==> P(4)=3/12, P(6)=4/12 and  P(8)=5/12

So 3/12+4/12+5/12=12/12=1

What is the probability that George will draw a green marble from a container that has 6 red, 4 blue, 3 yellow and 5 green?

Answers

Answer:

5/18

Step-by-step explanation:

i just took the test on usatestprep

Answer: 5/18 is the correct answer.

Step-by-step explanation: The top number of your fraction is the total amount of green marbles which is 5. The bottom number of your fraction is 18 which is the total of all the marbles added together. 6+4+3+5=18. Since the fraction can not simply, you have your answer of 5/18. The answer was also confirmed on the test I took. I hope this helps you! Thanks!

Magda sold her car for $1,900. This was $300 less than twice the original purchase price. What was the original price of Magda's car? Let p represent the original price of the car.A .2p - 300 = 1,900; p = 1,100
B .300p = 1,900 + 2; p = 634
C .300 - 2p = 1,900; p = 800
D .2p = 1,900 - 300; p = 800

Answers

A is correct answer original price is 1100

In 4 years, harry’s age will be the same as jim’s age is now. in 2 years, jim will be twice as old as harry will be. find their ages now.

Answers

The answer to this question would be:
Jim     =6 years
Harry =2 years

To answer this question, you need to translate the description into a  mathematical equation. If H= Harry's ages and J= Jim's ages, then the equation should be look like this:

1. H+4= J
2. (J+2)= 2(H+2)
     J+2= 2H+4
     J= 2H +2

If you put the 1st and 2nd equation together, the result would be:
H+4= J
H+4= (2H +2)
H-2H= 2-4
-H= -2
H=2

After that insert the H value to either 1st or 2nd equation.
H+4= J
2+4=J
J= 6

Answer:

harry is 2 jim is 6

Step-by-step explanation:
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