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3 years ago

Twenty people apply for 5 job openings as teacher assistants. How many different groups of people can be hired?

Mathematics

1 answer:

iVinArrow [24]3 years ago

8 0

Answer:

15504 different groups

Step-by-step explanation:

We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.

The formula for combination is:

C(n, p) = n! / (p! * (n-p)!)

In this case, we have n = 20 and p = 5, so:

C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504

So we have 15504 different groups.

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Wich measurements is not precise 982g or 980g

gavmur [86]

Answer:

982 g

Step-by-step explanation:

Hopefully this helps you :)

8 0

3 years ago

D is not right its a negative 8 so therefore it would be minus

Ilya [14]

I really dont understant your question. but you are right that negative 8 that it would be minus. In mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites. If positive represents movement to the right, negative represents movement to the left.

6 0

3 years ago

1. (Sec. 6.1) In a random sample of 80 components of a certain type, 12 are found to be defective. (a) Give a point estimate for

denis-greek [22]

Answer:

(a) 0.85

(b) 0.7225

Step-by-step explanation:

(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:

$p=\frac{80-12}{80}\\p=0.85$

The proportion is 0.85.

(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:

$P(x=2) = 0.85^2\\P(x=2) = 0.7225$

An estimate of 0.7225 for the proportion of all such systems that will function properly.

4 0

2 years ago

What is the y value of the solution to the system of equations shown below y = 22 - 6 y = 50 – 21

zhannawk [14.2K]

Answer:

22-6y= 29

-6y=29-22

-6y=7

y=-7/6

3 0

2 years ago

Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When

Bond [772]

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given by:

Johanna's: 1/6.

Elizabeth's: 1/6.

Dan's: 1/4.

Hence the together rate is given by:

$\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}$

$\frac{1}{x} = \frac{1}{3} + \frac{1}{4}$

$\frac{1}{x} = \frac{4 + 3}{12}$

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

More can be learned about the together rate at brainly.com/question/25159431

#SPJ1

8 0

2 years ago