If f(x) = 3x2 + 2 and g(x) = x2 – 9, find (f – g)(x).
1 answer:
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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
The "m" in y = mx + b is the <u>slope.</u>
It is the number of units a point goes up, down, left, or right each time. Making the line linear/straight.
"rise" is the the number of units you go up(+) or down(-), "run" is the number of units you go to the right
For example, if your slope is:
You are going up 1 unit, and to the right 2 units
3 or
You are going up 3 units, and to the right 1 unit
You are going down one unit, and to the right 2 units
-3 or
You are going down 3 units, and to the right 1 unit