The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the tower is 283 feet. The smallest diameter of the tower is 168 feet which is 415.5 feet above the ground. The tower is 537 feet tall. Find the width of the tower at a height of 46 feet.

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.