158, it's going up by 6 every time.
Answer:
Option B. It represents a nonlinear function because its points are not on a straight line.
Step-by-step explanation:
Let

we know that
If point A,B and C are on a straight line
then
The slope of AB must be equal to the slope of AC
The formula to calculate the slope between two points is equal to

<em>Find the slope AB</em>

substitute in the formula

<em>Find the slope AC</em>

substitute in the formula

so

Points A, B and C are not on a straight line
therefore
It represents a nonlinear function because its points are not on a straight line
Answer:
The probability that the instrument does not fail in an 8-hour shift is 
The probability of at least 1 failure in a 24-hour day is 
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

Let X be the number of failures of a testing instrument.
We know that the mean
failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is 

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is 

Answer:
4√2 or 5.66 to the nearest hundredth.
Step-by-step explanation:
Applying the Pythagoras Theorem:_
c^2 = a^2 + b^2
c^2 = 4^2 + 4^2
c^2 = 32
c = √32
c = 4√2