Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:

Simplify exponents:

Isolate the variable. Subtract 225 from both sides:

Find the square root of both sides:

The missing leg length is 8.
Answer:
48
Step-by-step explanation:
The ratio of professors to lecturers is ...
P : L = 6 : 11
Then the ratio of professors to total faculty is ...
P : (P+L) = 6 : (6+11) = 6 : 17
That is, professors make up 6/17 of the total faculty. Their number is ...
P = (6/17)·136 = 48
The Community College employs 48 professors.
This dot plot shows a nonlinear association... this is because if you look at the plot you can tell that there isn’t a line going any direction, it’s kinda scattered..so there isn’t any outliers rather it’s a nonlinear plot
I’m not sure if your asking for the solution, but Hope this helps!