1. x^2 + y^2 - 4x + 12y - 20 = 0 ---- (x-2)^2 + (y+6)^2 = 60
3. 3x^2+ 3y^2 + 12x +18y - 15 = 0 --- (x+2)^2 + (y+3)^2 = 18
5. 2x^2 + 2y^2 - 24x - 16y - 8 = 0 --- (x-6)^2 + (y-4)^2 = 56
I don't know the other two, hope I helped though.
Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that





As we know the formula for expectation of x i.e. known as mean for the probability distribution,

So, we apply this formula in our case,


Hence, the mean for the probability distribution will be 69.25.
The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.
For left put 2 on each
On the box over 100 put 82, and put 82 in the box on the right
The answer to this question is:
y = -2x - 1