What I gather from the question is that 
has second moment 
and variance 
, and you're asked to find the expectation and variance of the random variable 
.
From the given second moment and variance, we find the expectation of :
Expectation is linear, so
Using the same variance identity, we have
and
so that
Alternatively, we can use the identity
Answer:
Step-by-step explanation:
a. 5 3/6 - 1 2/6 = 4 1/6
b. 8 9/12 - 5 10/12
7 21/12 - 5 10/12= 2 11/12
Answer: 9/12, 2/12
Step-by-step explanation:
Start by writing multiples of 6 and 4
4: 4, 8, 12
6: 6, 12, 18
Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the <u>LEAST</u> COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12. Hope this helps!
NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)
Answer:
5
Step-by-step explanation:
congruent means sides are equal
Answer:
1.f 2.a 3.j 4.e
Step-by-step explanation:
you add and subtract the needed like terms
for example you can add 3x with 4x but not with 4x² because it's a different degree
