Solve this please and explain how you do it thank you

A dormitory has 40 students---12 sophomores, 8 juniors, and 20 seniors. Which of the following is equal to the number of ways to

Maurinko [17]

Answer:

The number of ways is equal to $12!8!20!$

Step-by-step explanation:

The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are

n1 x n2 x ... x ni

Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.

For example : We want to put 4 different objects in a row.

The total ways to do this are $4!=4.3.2.1=24$ ways.

Using the multiplication principle and the n-factorial number :

The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ $12!8!20!$

4 0

4 years ago

Someone help me with this find points a b c

NISA [10]

Answer:

<a=32

<b=40

<c=40

Step-by-step explanation:

to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be

180-50=130

after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180

130+18+a=180

a=180-148

a=32 and that's how you find a

to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180

18+90+B=180

B=180-108

=72

since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72

c=72-32

=40

then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40

I hope this helps

4 0

3 years ago

Kristin had a job that paid $87.00 a day. She decided to accept a job offer that pays $72.00 a day. What is the percent of decre

kirill [66]

Her daily pay decreased = $87.00 - $72.00 = $ 15.00
percentage of daily salary decreased = 1587⋅100=17.24=17.2

8 0

3 years ago

PLEASE HELP URGENT!!!

spin [16.1K]

Answer:

0.70

Step-by-step explanation:

According to the given question,

P(A) = 0.60

P(B) = 0.25

P(A and B) = 0.15

And we are asked to find P(A or B) ,

We know,

P(A or B) = P(A) + P(B)-P(A and B)

Putting the values we get,

P(A or B) = 0.60 + 0.25 - 0.15

P(A or B) = 0.70

Thus option B is correct one.

5 0

4 years ago

HELPPP ME OUTTTTTT!!!!!!!

Ainat [17]

Answer:

3/5

Step-by-step explanation:

cos A = adjacent side / hypotenuse in a right triangle

cos A = 24/40

Cos A = 6/10

cos A = 3/5

6 0

3 years ago