There are 21 black socks and 9 white socks. Theoretically, the probability of picking a black sock is 21/(21+9) = 21/30 = 0.70 = 70%
Assuming we select any given sock, and then put it back (or replace it with an identical copy), then we should expect about 0.70*10 = 7 black socks out of the 10 we pick from the drawer. If no replacement is made, then the expected sock count will likely be different.
The dot plot shows the data set is
{5, 5, 6, 6, 7, 7, 7, 8, 8, 8}
The middle-most value is between the first two '7's, so the median is (7+7)/2 = 14/2 = 7. This can be thought of as the average expected number of black socks to get based on this simulation. So that's why I consider it a fair number generator because it matches fairly closely with the theoretical expected number of black socks we should get. Again, this is all based on us replacing each sock after a selection is made.
Answer: 
Step-by-step explanation:
The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

Where b is the base and a and c are exponents.
Then simplify it by rewriting the base (
) and adding the exponents of the expression (8 and 9).
You will get the expression simplified and written as a power:

Answer:
I am sorry to tell you that, this isn't really a question. :/
Step-by-step explanation:
This is something that you just have to do yourself. But, let me know if I just misunderstood the question! THANKS!
Hope this helps?
Desmos is a great resource to help you understand the concept.