A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a
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Answer:

Step-by-step explanation:
Given
--- outcomes
-- sample size
Required

This is calculated as:

because none of the outcomes is greater than 12:
So:


Mean is the average number. To find mean, add all the numbers and divide by how many numbers there are.

There are 9 numbers. Divide by 9

Question 6 ⇒ C. 84.44
Median is the middle number when ordered from least to greatest. First order the numbers.

The 2 middle numbers are 10 and 11. Add them together and divide by 2

Question 7 ⇒ D. 10.5
The correct answer to this equation is 9x to the 2nd power and y
First integral
Since
is a linear function, its graph is a line. This means that you can decompose the area under its graph as the sum of a right triangle and a rectangle, as shown in the attached image.
All the dimensions are fairly easy to deduce: we have

So, the area of the triangle is

For the rectangle, we have

So, the total area is 
Second integral
We have

So, this function is the upper half of the unit circle (the two halves are the functions
)
Since the area of the unit circle is
, the value of the integral is 
Third integral
It follows the exact same logic as the first one, you only have to adjust the numbers.
Answer:
f(5)= 78.5. I hope this helps!!