Statistics and Probability

Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as the 1 -d square of the distance from the machine. At 3 meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 1.9 meters? The figure shows that a bicyclist tips the cycle when making a turn. The angle B, formed by 2 the vertical direction and the bicycle, is called the banking angle. The banking angle varies inversely as the cycle's turning radius. When the turning radius is 8 feet, the banking angle is 18. What is the banking angle when the turning radius is 4.5 feet? The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body types, 3 their weights would vary directly as the cube of their heights. Assume that all men do have identical body types. If a man who is 5 feet 10 inches tall (70 inches) weighs 170 pounds, approximately how much would a man with a height of 9 feet (108 inches) weigh? 4 The number of kilograms of water in a human body varies directly as the mass of the body. A 96-kg person contains 64 kg of water. How many kilograms of water are in a 78-kg person? An alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 4 feet has a tail length of 2.8 feet. What is the tail length of an alligator whose body length is 5 feet? Graph the given function by making a table of coordinates. 6 f(x ) = 5* Complete the table of coordinates. Graph the given function by making a table of coordinates. Complete the table of coordinates. X 0 1 2 Use the compound interest formulas A= P 1 + - and A= P e to solve the problem given. Round answers to the nearest cent. 9 Find the accumulated value of an investment of $15,000 for 3 years at an interest rate of 5.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. The function f(x) = 60 e " 0.5X + 40 describes the percentage of information, f(x), that a particular person remembers x weeks after learning the information. . Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first learned. 10 b. Substitute 1 for x and find the percentage of information that is remembered after 1 week. . Find the percentage of information that is remembered after 8 weeks. d. Find the percentage of information that is remembered after one year (52 weeks)