A random sample of 56 fluorescent light bulbs has a mean life of 645 hours and assume that the population standard deviation is 31 hours. Construct a 95% confidence interval for the population mean. A. (539.6,551.2) B. (112.0,118.9) C. (712.0,768.0) D. (636.9,653.1)

Please show in detail step by step how you solved the problem.

A certain driving test requires the driver to stop with the front wheel of the vehicle inside a rectangular box drawn on the pavement. The box is 80 inches long and has a width that is 29 inches less than the length. Find the perimeter and area of the box.

Here’s a look at a map of the east side of Dubuque, Iowa. It shows a driving path from a casino on the river to a golf course on the other side. According to the maps app on my phone, the driving distance is 3.0 miles. We’re most interested in the graphic at the bottom left, which indicates that 1 inch on the map (measure if you don’t believe me) corresponds to 2,000 feet in real life.   If a 50-foot boat were on the river, how big would it appear on the photo? Round to three decimal places.