Step-by-step explanation:
a) The alternate angle of <ABC= <BCD
b) The alternate angle of <PQR= <TPQ
c) The alternate angle of <STU= <WUT
I used '<' instead of angle.
I hope it helped U
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Using (a-b)(a+b)= a2-b2
Simply the product
x2-62
Evaluate the power
x2-36
ANSWER

EXPLANATION
The general term of the arithmetic sequence is

For the first term,we substitute

to get,


Similarly


The sum of the first n-terms is given by the formula,

where l is the last term.
In this case

We substitute these values to get,



We could have also used the formula,
Answer:


Now we can find the expected value with this formula:

And replacing we got:

Step-by-step explanation:
For this case we know the following probability mass function given:

For this case we need to satisfy the following condition in order to have a probability distribution function:

And we have this:


Now we can find the expected value with this formula:

And replacing we got:
