
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
The value of x is equal to -5/6
To solve this question, we have to add two polynomials together. The polynomials are;
<h3>Addition of Polynomials</h3>
This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.
In this given question, let's add the polynomials together.

Now, let's equate this with the last polynomial given

Let's solve for x

The value of x is equal to -5/6
Learn more on addition of polynomials here;
brainly.com/question/4142886
The factored forms of that is (x + 6) (x - 7).
If you have any questions then please leave a comment. Good luck!
Answer:
100 yds^2
Step-by-step explanation:
To find the area of a square, we need to know the length of one side of the square. Since the perimeter is 4 times the length of one side, or 4s, and since 4s = 40 yds, s must be 10 yds.
Then the area of the square is (10 yds)^2 = 100 yds^2.