
,

,

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 fiest answer is x=6 for the second one the answer is x=4
Step-by-step explanation:
x+15/5x+1 =15/35 then cross multiply
1st one
Answer: 5 Erasers
Step-by-step explanation: It's quite simple, really. You divide 20 by 4, (the number of pencils and the ratio number) and then you multiply whatever the quotient was by the ratio number for erasers.
Answer:
297.33 m
Step-by-step explanation:
Answer:
2/10 or 1/5 if you want it simplified
Step-by-step explanation:
9/10 is basically 9 and 7/10 is 7 so 9 - 7 is 2 and we need to add the /10 back so it's 2/10 or 1/5