Answer:
an = 8n − 65 is the correct answer
I will be including both an basic explanation of what it is and its proof.
I'm guessing you are either learning about conditional probability at school or preparing for competitions.
Baye's theorem states:

That is the theorem itself and it means that the probability that event A happens given B is true equals the probability event B happens given A is true times the probability event A happens divided by the probability B happens.
That was the basic of the theorem and the proof of this is basically just testing how well you understand what conditional probability is.


Now we know that the probably that A and B both happens is the same as the probably that B and A both happens.
Therefore P(A|B) can be seen as P(B|A) multiplied by P(A) and then divided by P(B) which gives the right hand side of the first equation. And this is basically the theorem.

**Note P(B) have to be not equal to 0 because having a 0 in the denominator would make this equation undefined.
If you have any questions or need further explanations please ask me in the comments of the answer, I hope this helped!
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Here we have two expressions:
4*(2 + p)
14 + p
We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.
First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.
4*(2 + 2) = 4*4 = 16
14 + 2 = 16
In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.
Now let's do it with p = 8
4*(2 + 8) = 4*10 = 40
14 + 8 = 22
Now we can see that the results are different, then we can conclude that the expressions are not equivalent.
∑ Hey, petalssquad10 ⊃
Answer:
( 10 x + 10 ) = 110
Step-by-step explanation:
As you can see this following diagram shown a vertical angles which are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.
Hence, the equation we can be used to solve for x in the following diagram is:
( 10 x + 10 ) = 110
You can also refer to the image below:
<u><em>xcookiex12</em></u>
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<em>8/18/2022</em>