MATHEMATICS HIGH SCHOOL

From 12 prepared songs, a bandchooses 3 to perform on a TV show. One
song will be played at the beginning of
the show, one in the middle, and one at
the end. Tell how many different set lists
are possible. Then tell if the situation
involves permutations or combinations.

Answers

Answer 1
Answer:

Answer:

1320 different set lists are possible

Step-by-step explanation:

We have a set of 12 elements (12 songs)

There can be NO songs repeatedly

The order of the songs is important because One song will be played at the beginning of the show, one in the middle, and one at the end.

So as the order of selection is important we must use permutations.

The formula for permutations is:

nPr=(n!)/((n-r)!)

where n is the number of items you can choose and choose r from them

In this case we know that:

n=12, r=3

Then:

12P3=(12!)/((12-3)!)

12P3=(12!)/(9!)

12P3=1320

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New Question, I'll offer 40 points again. Please help me if you can. Thank you!!! Which statement best describes the association between variable X and variable Y?A) moderate positive associationB) weak positive associationC) weak negative associationD) moderate negative association

Which expression is equivalent to i to the power of 233a. 1
b.-1
c.i
d.-i

Answers

i works in a cycle of fours
i^0=1
i^1= i
i^2= -1
i^3=-i
So divide the number by four and whatever the remainder is you use in this key so 233/4 = 58 remainder 1 so that is equivalent to i^1 which is i
So the answer is c) i
I hope this helped you

What are the means of the following proportion 3/15 = 12/60

Answers

I want to say it is 3 and 15 but I could be wrong

What is 50 devided by 336

Answers

50 divided by 336= 0.1488095238

HELP PLEASE???? A walking path across a park is represented by the equation y = –4x + 10. A new path will be built perpendicular to this path. The paths will intersect at the point (4, –6). Identify the equation that represents the new path.

Answers

If you are given a linear equation and you are trying to find a line perpendicular to that line, you do the negative-reciprocal to your slope. What this means is you flip your slope into a fraction and multiply it by -1. So our slope is -4, so the negative reciprocal is (1)/(4).

Given our slope is 1/4, we can solve for the line by substituting our given points into point-slope form. So 

-6 = (1/4)*4 + b
-6 = 1 + b
-7 = b

So our equation is:

y = (1/4)x -7

So our answer is C
Hopes this helps!

Answer:

C. y = 1/4x - 7

Step-by-step explanation:

With perpendicular lines you have to flip

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?

Answers

Answer:

Ratio of apple to banana is 2:1

Step-by-step explanation:

To find ratio of x type of one thing and y type of other thing we divide

x by y and ratio is written as

ratio = x:y

_________________________________

Number  of banana = 2

Number  of apples = 4

Ratio of apple to banana = Number  of apples :Number  of banana

Ratio of apple to banana = 4:2

since 4 is divisible by 2 , to get the ratio in simplest form

we divide both numerator and denominator by 2

Ratio of apple to banana = 4/2:2 /2 = 2:1

Thus,

Ratio of apple to banana is 2:1

NVM it is DFind the surface area of the cylinder with a radius of 9 inches and a height of 11 inches in terms of pi
a) 198 pi in^2
b) 234 pi in^2
c) 846 pi in^2
d) 360 pi in^2

Answers

T.S.A of a cylinder = 2\pir² + 2\pirh
                              =2(9)²\pi + 2(9)(11)\pi
                              = 162\pi + 198\pi
                             = 160\pi in²

And yes the Answer is D. 360\pi in²
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