PQR is a straight line.
1 answer:
You might be interested in
Answer:
26.95% probability that at least one of them is cleared with an arrest
Step-by-step explanation:
For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5.1% of burglaries are cleared with arrests.
This means that
A new detective is assigned to six different burglaries.
This means that
What is the probability that at least one of them is cleared with an arrest?
Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So
We want
Then
In which
26.95% probability that at least one of them is cleared with an arrest
Answer:
AKPOS/ACGF = 28√3 -48 ≈ 0.497423
Step-by-step explanation:
Let's assume the square is a unit square. Then the height of the triangle is ...
1 +(√3)/2 = h
and half the base of the triangle is ...
h/√3 = (√3)/3 +1/2 = b/2
The area of the triangle is the product of these:
A = (1/2)bh
= (2 +√3)/2 × (3 +2√3)/6
= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12
So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...
(square area)/(triangle area) = 12/(12+7√3)
(square area)/(triangle area) = 28√3 -48
