In a random sample of 40 people who rode a roller coaster one day, the mean wait time is 52.4 minutes with a standard deviation of 9.5 minutes. In a random sample of 50 people who rode a Ferris wheel the same day, the mean wait time is 14.1 minutes with a standard deviation of 2.3 minutes.

Which interval is the 99% confidence interval for the difference between the mean wait times of everyone who rode both rides?

A: (34.3, 42.3)
B: (36.9, 40.7)
C: (36.8, 39.8)
D: (35.8, 40.8)

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.