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sammy [17]
3 years ago
10

here are 1515 people in an office with 55 different phone lines. If all the lines begin to ring at once, how many groups of 55 p

eople can answer these lines?
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

360,360 groups of 5 people.

Step-by-step explanation:

We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

There are 11 people to answer 5th call.

So 5 lines can be answered in 15\times 14\times 13\times 12\times 11=360,360 ways.

Therefore, 360,360 groups of 5 people can answer these lines.

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Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an
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Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

6 0
3 years ago
What is the range of the function in the graph?
Verdich [7]

The range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.

<h3>What is the Range and Domain of a Function?</h3>

All the possible set of x-values that are plotted on the horizontal axis (x-axis) are the domain of a function. In order words, they are the inputs of the function.

On the other hand, all the corresponding set of x-values that are plotted on the vertical axis (y-axis) are the range of a function. In order words, they are the outputs of the function.

In the graph given below that shows a function, s is plotted on the vertical axis (y-axis), and its values starts from 20, up to 100. The range can be said to be all values of s that are from 20 to 100.

Therefore, the range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.

Learn more about functions on:

brainly.com/question/15602982

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3 0
2 years ago
Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F. His
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Answer:

Step-by-step explanation:

Increase means his temp is going up. Just add.

99.2° + 3.4°

=102.6°

3 0
2 years ago
What is the tangent of an equal to
elena-s [515]
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
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In the United States, it is possible for someone to give a gift up to how much money per year to another person without that mon
Zielflug [23.3K]

Answer:

I believe the correct answer is $10,000. I'm not positive, though.

3 0
2 years ago
Read 2 more answers
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