25/53 would be the simplest answer
Answer:
For the student who is studying 10 hours a week is in the 57.93th percentile.
Step-by-step explanation:
Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula
z=
where
- x is the hours student work in a week, which is 10,
- M is the mean studying hour of the class, which is 9.92,
- s is the standart deviation which is 4.54
from here we find that z=
≈0.2
Corresponding percentile for z=0.2 is 57.93
Distribute 1/4 to all terms within the parenthesis
9 - 5 = 4
1/4(16x + 60) = (16x + 60)/4 = 4x + 15
4 = 4x + 15
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
Subtract 15 from both sides
4 = 4x + 15
4 (-15) = 4x + 15 (-15)
4 - 15 = 4x
-11 = 4x
Isolate the x. Divide 4 from both sides
(-11)/4 = (4x)/4
x = -11/4
hope this helps