Acarpenter cuts a 2" x 4" board to a desire length. he then uses this board as a pattern to cut a second board congruent to the first. similarly, he uses the second board to cut a third board and the third board to cut a fourth board. prove that the last board cut has the same measurement as the first.

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?