,
,
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.
Answer:
x = 6/7, y = 1/2
Step-by-step explanation:
7x + 2y = 7
-14x + 2y = -11
1) 7x + 2y = 7
2y = 7 - 7x
2) -14x + 2y = -11
-14x + 7 - 7x = -11
- 21x = -11-7
- 21x = - 18
x = 18/21 = 6/7
3) 2y = 7 - 7x = 7 - 7*(6/7) = 7 - 6 = 1
2y = 1
y = 1/2
Answer:
17F
Step-by-step explanation:
(-2F) +(19F) = 17F
The signed numbers add in the usual way. (If you really can't do this in your head, a calculator can help.)
Basically u evaluate it into (3⁶y⁵)² then use the properties of exponents to simplify to (729y⁵)² and then ur answer is 729²y¹⁰ or in other words, 3¹²•y¹⁰ so ur answer is B.
