Answer:
Step-by-step explanation:
If we are given two dependent events and
such that their chances of occurrence or the probabilities of the events are:
and
.
Then the conditional probability that the event will occur given that
has already occurred is given by the following formula:
Here the two events given are and
.
and
As per the above formula that we have already discussed, the formula can be written as:
To calculate this, we have to establish a proportion :
If 1 gallon of milk is drunk in 3 days,
X gallons will be drunk in 5 days
X gallons = 1 gallon*5days/3days = 1.66 gallons will drink in 5 days.
We can round to the first decimal place 1.66 ≈ 1.7 gallons approximately.
Answer : 1.7 gallons will Brian family drink in five days, approximately.
Hope this helps!
The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑
We have to find the values of x for which the series converges.
We know,
∑ converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
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