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sergij07 [2.7K]
2 years ago
7

In a class, 20 people live on campus and 4 people live off-campus. If we were to draw one student's name from a hat, what is the

probability that this student is living off-campus? (Enter your answer as a fraction.)
Mathematics
2 answers:
OleMash [197]2 years ago
5 0
Add the on-campus and off-campus together. 

20+4= 24

4/24 live off campus. 

Simplify.

2/12

1/6- that is the probability of drawing a person off-campus.

I hope this helped you!

Brainliest answer is always appreciated!<span />
bulgar [2K]2 years ago
3 0
Firsrt, find the total number of people that you can draw overall. To do this, add the number of people on campus and the number of people off campus to get 24 people overall. This will be your denominator. Then, the numerator is the number of the group of people that the question is asking for. In this case, it would be the 4 people off campus. Finally, put in the values to get that the probability is
\frac{4}{24}
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in the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?
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The measure of one acute angle is 3 times the sum of the measure of the other acute angle and 8
Anettt [7]
Let x be the unknown angle. 

Make an equation using the formula.

<span>"measure of one acute angle is 3 times" Since we know that x is the one acute angle, we can multiply that by 3 to get 3x.

"</span><span>the sum of" when ever you see the word 'sum' it means that there will be an addition process involved and in this case it also means that 3x will equal to the rest of the equation. (3x=)
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<span>"measure of the other acute angle and 8" We already know that the other angle is x . Since there is no other indicator of the 8 being subtracted, multiplied, and divided and that we know this is an addition problem, we can conclude that 8 will be added to the other angle. (x+8)
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So, now we have the equation and all we have to do is simplify it. 

3x= x+8
-x   -x             *Move constants and variables to opposite sides*
------------
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---  ---             *Divide by 2 to isolate the variable* 
2    2

x=4

So, I'm assuming you want to know the measure of both angles. All you have to do is plug in the x in the 3x and x+8 depending on which angle you want.

3x
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The measure of the first angle is 12.

x+8
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olasank [31]

Answer:

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