3. the roof of a castle tower is shaped like a cone. the base of the cone is 24 m across and the height is 16 m. the slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone. (a) sketch the roof of the castle tower. label the known lengths as described and label the unknown length as x. (b) what is the slant height of the roof? show your work!

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.