❗❗❗❗❗❗Lakota is planning on creating a gigantic flag to honor the greatness of the superintendent, Mr. Miller. The main part of the flag will be a gigantic picture of Mr. Miller’s face. The picture will be 12 meters by 16 meters. Around the outside will be a uniform border. The total area of the flag with the border will be a total of 285 square meters. Determine the width of the border that will be surrounding the picture of our great leader.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.