Answer:
C
Step-by-step explanation:
We can first move the variables to one side.
We can do this by subtracting 6x from both sides.
12x^2-6x=0
Now, we can factor out 6x.
6x(2x-1)=0
Since it equals 0, we know that 2x-1=0, or 6x=0.
This is because when ab=0, either a or b must equal 0.
So we can set both of these equal to 0 to solve.
6x=0
Divide both sides by 6.
x=0
2x-1=0
Add 1 to both sides.
2x=1
Divide both sides by 2.
x=1/2
Answer:

Step-by-step explanation:
We want to evaluate the equation

at y=-2
We just have to substitute to obtain;

We now multiply to get:

This is the same as:

We multiply the numerators separately and denominators separately to get:


This implies that

Answer: А. On average, the number of students going to an office hour varies from the mean by about 2.2 students
Step-by-step explanation:
The standard deviation is a measure of spread, which gives how values deviate from the average or mean value of a particular distribution. Hence, the standard deviation is usually defined about the average value of a distribution.
Therefore, for a certain random variable representing the number of student who visits office hours, the standard deviation will be defined about the average or mean value of the random variable Q.
Thus, stated as ; number of students going to an office hour varies from the mean by 2.2 on average.
Hey!
The formula for finding volume of a cylinder is: π · r² · h


Now multiply

<em>Your answer is B)192π units³</em>
Good luck and hope this helps! :)
I am attaching an image with the two solutions represented by the blue areas highlighted in your original graphs. Let me know if you have questions.