Answer:
d=-5
Step-by-step explanation:
5/8(16+24)=6(d-1)+1
distribute 5/8 into (16d+24) and 6 into (d-1)
10d+15=6d-6
subtract 6d on both sides
10d-6d+15=-6
combine like terms
4d+14=-6
subtract 14 on both sides
4d=-20
divide both sides by 4
d=-5
hope this helps
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. 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.
A total of 15 devices will be used.
This means that
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that
What is the probability that one of the devices fail?
This is
36.58% probability that one of the devices fail