A pool player's performance is measured based on how many balls are made into a pocket during a game. Then, a weighted average is used. Weekly games are weighed less than games in tournaments are. Suppose that a pool player has the following stats: 5 4 6 8 6 Weekly games Tournament games 6 4 3 5 a) Suppose that the rating for a local league is calculated based on the average of each type of score. Tournament game averages are weighted 60% and weekly games average is weighted 40%. What is the player's overall rating based on these scores? 2 3 1 4 3 7 4 2 b) A tenth weekly game and tournament game is coming up soon. Determine a possible number of balls the player must make for each to increase his overall rating by at least 0.3. 5) 4 points a) Two mountain climbers are about to go up a mountain from opposite sides. They will meet at the top of a mountain. The angle of elevation from the climber on the right is 41 degrees. The angle of elevation for the climber on the left is 57 degrees. The distance between them (the span of the mountain) is 384 feet. Determine the distance each of them will climb to meet one another. b). Two mountain climbers start at the top of a mountain to climb down. The angle between them is 47 degrees. One climber will climb 258 feet to get to the bottom of the mountain. The other climber will climb 327 feet on the other side to get to the bottom of the mountain. How far apart will the two climbers be when they reach the bottom?