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TEA [102]
2 years ago
10

36. in a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasu

rer be elected?
Mathematics
1 answer:
viktelen [127]2 years ago
3 0

Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.

The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.

<h3>What is the permutation formula?</h3>

The number of possible permutations of <u>x elements from a set of n elements</u> is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

P_{20,3} = \frac{20!}{17!} = 6840

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

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Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's s
alukav5142 [94]

Answer:

The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km

Step-by-step explanation:

The given parameters from the question are;

The elevation of the meteor above the Earth's surface = 100 km

The rate at which the meteor falls = 20 km per second

The 'x' values represent the time in seconds and the 'y' values represent the meteor's height

Therefore, we have;

y = 100 - 20·x

The domain of a function is the set of inputs to the function

Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface

At the start x = 0 seconds

On the Earth's surface, y = 0, therefore;

0 = 100 - 20·x

x = 100/20 = 5

When the meteor just touches the Earth's surface x = 5 seconds

Therefore, the domain is 0 ≤ x ≤ 5.

8 0
3 years ago
jamal completed his math homework in 2/3 of an hour and his reading homework in 3/5 of an hour. How much time did it take him to
Assoli18 [71]

Answer:

Step-by-step explanation: We have to add how much time it took him to do all of his homework. To do this, we have to add 2/3 and 3/5.

First, we have to find a LCM between 3 and 5.

The LCM between those numbers are 15.

Next we find out what number to multiply 3 by to get 15, we multiply it by 5.

2 * 5 = 10

3 * 5 = 15

Next we find out what number to multiply 5 by to get 15, we multiply it by 3.

3 * 3 = 9

5 * 3 = 15

10/15+9/15=19/15

We are left off with 1 4/15

So it took him 1 hour and 4/15 minutes to do his homework.

3 0
3 years ago
Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all
bezimeni [28]

Answer:

C

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

6 0
2 years ago
True or False:<br><br> 2.4 ÷ 0.6 =<br><br><br> 0.04 x 6 =
valkas [14]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
Whats the volume of the solid??
algol13

Answer:

2268\pi\ or\ 7,121.52

Step-by-step explanation:

A = \pi (\frac{D}{2})^2 = \pi (\frac{18}{2})^2 = \pi 9^2 = 81\pi

V = A * h = 81\pi * 28 = 2268 \pi = 7,121.52

5 0
3 years ago
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