In this question , we have to find, which option represents inverse functions.
Let's check out option b
Let it be y
So we have

Switching x and y and solving for y,

Performing cross multiplication

Combining like terms


Which is same as of the other function.
So correct option is b .
Answer: The maximum error = $105.76.
Step-by-step explanation:
Formula to find the maximum error:

, where n= sample size.
= Population standard deviation
z*= Critical value(two-tailed).
As per given , we have

n= 35
For 98% confidence , the significance level = 
By z-table , the critical value (two -tailed) =
Now , the maximum error = 


Hence, With 98% confidence level , the maximum error = $105.76.
Answer:
v = 22
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
96v = 2112 ( divide both sides by 96 )
v = 22
Using a 1-sample z-interval for the population proportion with confidence level 0.997, the sample probability is 0.69 with margin of error of 0.16, so between 0.69+0.16=0.85 of the population and 0.69-0.16=0.53 of the population prefers coffee. 84% and 54% are the correct answers.