4 The given 3 unit by 12 unit rectangle in the
standard (x, y) coordinate plane was obtained by
applying a sequence of transformations to the
1 unit by 4 unit rectangle. One of the
transformations was a dilation centered at the
origin.
12
3
Which of the following sequences could have
been applied?
Dilation with a scale factor of 3 centered
at the origin followed by a rotation about
the origin
Dilation with a scale factor of 12 centered
at the origin followed by a rotation about
the origin
Dilation with a scale factor of 3 centered
at the origin followed by a reflection
across the y-axis
Dilation with a scale factor of 12 centered
at the origin followed by a translation of
4 units to the right
Dilation with a scale factor of 3 centered
at the origin followed by a translation of
16 units to the right

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?