What is the domain of the function is this table?
1 answer:
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Answer:
(b)
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:
In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:
We want to know the probability of obtaining a white ball in both urns. This is: P( and
)
As the events are independent:
P( and
) = P (
) * P (
)
P( and
) =
P( and
) =
Finally the correct option is (b)
In short, (h o g)(a) is just h( g(a) ).
so what we can do is simply get g(a) first and then plug that in h(x).
so what we can do is simply get g(a) first and then plug that in h(x).
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:
Then to get the incomes:
At 7%:
And at 5%:
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000