2 Hailstone Sequences [12 marks] A hailstone sequence is a sequence of integers found by applying the following rule: Hailstone Iteration: For an integer n in a hailstone sequence, the next item in the sequence is 3n + 1 if n is odd, or n / 2 if n is even. For example, the...

A man age 55 is a member of his employer s occupational pension scheme. He has been a member of the scheme since he joined the employer at age 35, and he expects to retire at age 65. However, at any time before age 65 he could: (a) die; (b) leave the employer and hence have to leave the...

A solid sphere of radius 40.0 cm has a total positive charge of 26.0 C uniformly distributed throughout its volume. Calculate the magnitude of the electric field (a) 0 cm, (b) 10.0 cm, (c) 40.0 cm, and (d) 60.0 cm from the center of the sphere

A converging lens (f = 13.0 cm) is held 7.30 cm in front of a newspaper, the print size of which has a height of 1.90 mm. Find (a) the image distance (in cm) and (b) the height (in mm) of the magnified print?

In the figure below, a man is trying to get his car out of mud on the shoulder of a road. He ties one end of a rope tightly around the front bumper and the other end tightly around a utility pole 15 m away. He then pushes sideways on the rope at its midpoint with a force of 550 N, displacing the...

A track star runs two races on a certain day. The probability that he wins the first race is 0.7; the probability that he wins the second race is 0.6; and the probability that he wins both races is 0.5. Find the probability that