Answer:
A. and C.
Step-by-step explanation:
Hope this helps :)
Average (mean) = (sum of all the data) / (# of data)
sum of all the data = (average)(# of data)
Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300
and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500
Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %
Now if there are x # of advanced students and y # of regular students, then
x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)
The second equation can be simplified to x - 2y = 0
Subtracting the two equations yields
x = 60 and y = 90
Therefore you would need 60 advanced and 30 regular students.
Answer:
This is not an equation. So it's not possible to find the value of x..
Answer:
A) f'(3) < f'(0) < f'(-2)
Step-by-step explanation:
You don't need to create a graph of the derivative. Remember that the derivative is the slope/rate of change of a function at a certain point!
At f(-2), you can see that the function is increasing around it, which suggests that f'(-2) is positive.
At f(0), you can see that the function doesn't increase nor decrease around it, which suggests that f'(0) is 0 (or no slope!).
At f(3), you can see that the function is decreasing around it, which suggests that f'(3) is negative.
This must mean that f'(3) < f'(0) < f'(-2)
I hope this clears things up, and please ask questions in the comments if you are still confused! I want to help you!
