Solution:
A plane is a two Dimensional figure.
The Intersection of two planes that do not coincide is always a line.
Consider two planes ,A and B, Following are the possibilities
1. They may be parallel to each other.→→→ No curve obtained
2. The planes A and B can Coincide with each other.→→→Intersection is a plane.
3. The planes A and B are intersecting.→→→→Intersection is a line.
30+45= 75= 1 n 15 mins.6:00-1 15= 4:45pm
Answer:
16
Step-by-step explanation:
To solve this equation, we need the formula for perfect squares:
or
<em>this is the formula we will use because the signs match the one in the question</em>.
Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.
Work:

- this is the setup for being able to solve for the unknown
, now we need to solve for
.
(I replaced
with
because I'm setting up this question to be a perfect square).

- multiply the left side. Remember that your answer will not be
, but
.

- Divide like terms and isolate the variable. In this case,
and
are on both sides, so dive them and they will be canceled out.

- divide by
and you will have your value for
.

- Now we plug
into our original equation equation for perfect squares.

Our final answer is 16.
Answer:
In the long run, ou expect to lose $4 per game
Step-by-step explanation:
Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.
Assuming X be the toss on which the first head appears.
then the geometric distribution of X is:
X
geom(p = 1/2)
the probability function P can be computed as:

where
n = 1,2,3 ...
If I agree to pay you $n^2 if heads comes up first on the nth toss.
this implies that , you need to be paid 

![\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7Bn%7D_%7Bi%3D1%7D%20n%5E2%20P%28X%3Dn%29%20%3DVar%20%28X%29%20%2B%20%5BE%28X%29%5D%5E2)
∵ X
geom(p = 1/2)








Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6
= $4
∴
In the long run, you expect to lose $4 per game