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Usimov [2.4K]
3 years ago
12

There are 12 members on the board of directors for the Newport General Hospital. If they must elect a chairperson, first vice ch

airperson, second vice chairperson, and secretary, how many different slates of candidates are possible?
Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

11880 different slates of candidates are possible.

Step-by-step explanation:

The order is important in this problem.

That is, John, Elisa, Laura and Rose means that John is the chairperson, Elisa the first vice chairperson, Laura the second vice chairperson and Rose the secretary. If we exchange John and Elisa, for example, it means that their roles also have changed.

So we use the permutations formula to solve this problem.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

How many different slates of candidates are possible?

Four roles in a set of 12 members. So

P_{(12,4)} = \frac{12!}{(12-4)!} = 11880

11880 different slates of candidates are possible.

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The March utility bills (in dollars) of 30 homeowners are listed below. 44 38 41 50 36 36 43 42 49 48 35 40 37 41 43 50 45 45 39
Ulleksa [173]

Step-by-step explanation:

What we will do is create a table with the data they give us, the first thing will be to organize it from smallest to largest, like this:

33, 35, 35, 36, 36, 36, 37, 38, 38, 39, 40, 40, 41, 41, 41, 42, 42, 43, 43, 43, 44, 45, 45, 47, 48, 48, 49, 50, 50, 50

Now we know that the smallest number is 33 and the largest is 50, to create 5 ranges, we will calculate the difference and divide by 5.

(50 - 33) / 5 = 3.4

Therefore we will make ranges of 3 and 4, values, like this

Rank 1: 33 - 36

Rank 2: 37 - 39

Rank 3: 40 - 43

Rank 4: 44 - 46

Rank 5: 47 - 50

We will calculate the frequency distribution of values in each range:

Rank 1: 6

Rank 2: 4

Rank 3: 10

Rank 4: 3

Rank 5: 7

5 0
3 years ago
Write an equation of the line that passes through (4, 5) and is perpendicular to the line y = -4x+6.
andrey2020 [161]
Y = -1/4x + c
5 = -1/4 x 4 + c
5 = -1 + c
c = 6
y = -1/4 + 6
8 0
2 years ago
How do you factor this expression by dividing by the GCF first. 15c-25
chubhunter [2.5K]
15c-25
15c=25
your answer is c=13.5
4 0
3 years ago
Please help? This is complicated​
Andreyy89
D,

You basically see if statements are correct or not. Remember this is sample, sample is portion of population so if everything is dome correctly, the results of sample will also display the results of population +- error (standard deviation). So you can just use the sample results to answer questions about the population.

A is correct because social studies has 4 students and reading has 8. Math has twice.
B is correct because reading has 2 and math has 8. Reading is one fourth of math 8*1/4 = 8/4=2.
D is NOT correct because math is 8, social studies is 4. Math is not half of social studies. Social studies is half of math.
5 0
2 years ago
I need help pleaseee
lidiya [134]

Answer:

I would say it is c

Step-by-step explanation:

Because x is on the negative so that would have to be -x then and the y number is posiitiv  so it is y = -x + 4  

6 0
2 years ago
Read 2 more answers
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