Answer:
y = -2+
and y = -2 -
combined, or 
Step-by-step explanation:

substitute y for x and x for y

this is technically the inverse but I will simplify further
x = 
±
= y+2
y = -2±
y = -2+
and y = -2 -
combined
Answer:
19.42 ft.
Step-by-step explanation:
The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.
The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.
Answer:
When we have a set of N elements, the number of combinations of K elements (such that N ≤ K) from these N elements is:

Then if we have 8 different types of carpet, and we want to see how many different samples of 3 types we can choose, we just need to replace N by 8, and K by 3 in the above equation:

So there are 56 different samples.
Now we can do the same, but this time we want to use 5 types of carpet, then we will have K = 5.

Again, we have 56 different samples.
Answer:
This is called Simpson's Paradox.
Therefore the correct option is A.) Simpson's Paradox.
Step-by-step explanation:
i) This is called Simpson's Paradox.
ii) If there are trends that tend to appear in several different groups of data which apparently either disappear or tend to reverse when these data groups are combined.