Part A: In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8. The slope of the line connecting these 2 pts. is (8-4) / (1-0), or 4. Now do the same thing for the 2 pts (1,8) and (2, 10). You will find that the slope in the 2nd case is different. Thus, the 3 given pts do NOT lie on a straight line. Function is non-linear.
Part B: an example of a non-linear function would be y = 2x^2 - 5. You can tell immediately from that exponent, 2, that this function is non linear.
An ex. of a linear function would include x to the 1st power only: y = 3x - 7.
Step-by-step explanation:
2/3 lost is 1/3 kept
2/3 of the 1/3 kept is 2/9 lost
1/3 x - 2/9 x = 4
3/9 x - 2/9 x = 4
1/9 x = 4
x = 36
First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.
Years for one serious accident is 10 year
<u>Given:</u>
Probability of having a serious accident = 10% every year
P(serious accident) = 0.1
Number of years = n
<u>Computation:</u>
Years for one serious accident = 1 / Probability of having a serious accident
Years for one serious accident = 1 / P(serious accident)
Years for one serious accident = 1 / 0.1
Years for one serious accident = 10 year
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Answer: 0.0516
Step-by-step explanation:
Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of
.
The probability mass function for Poisson distribution:-
For x= 15 and
, we have

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516