You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 800 cm3. the material for the base of the box costs 5 cents/cm2 and the material for the sides of the box costs 7 cents/cm2. find the dimensions for a box that will minimize the cost of the materials used to construct box.

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?