Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01
Then the number defective parts follows a binomial distribution .
Formula for variance =
Thus, 198 is the variance for the number of defective parts made each week.