Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is

Thus, the probability that at least one of the systems detect the theft is

That means a 99.93%
Answer:
100
Step-by-step explanation:
if SP>CP,
It is profit [SP - CP = Profit]
if CP>SP,
It is loss [CP - SP = Loss]
Here in the question CP>SP so,
loss = CP - SP
=200 - 100
= 100
Answer:
2.25
Step-by-step explanation:
to find slope it is (y2-y1)/(x2-x1)
(15.25-8.50)/(5-2)
6.75/3
2.25 is the slope
Winning%=100[wins/(total games)]
w%=100(A-B)/A
So the way that your choice expressed that is:
(A-B)/A x 100
Answer:
3
Step-by-step explanation:
The goal is to get the x to be on one side of the equation on its own.
-6x = -18
To get rid of the -6, we would have to do the opposite of what it's doing in the equation - in this case, we would divide, as it's the opposite of multiplying.
What we do to one side of the equation, we have to do to the other.
-6x/-6 = x
-18/-6 = 3
x = 3
Hope that makes sense!