Two particles, Particle A and Particle B, begin traveling away from a wall. Let t represent the number of seconds since the particles started moving, let a(t) represent Particle A's distance from the wall in feet t seconds after the particles started moving, and let b(t) represent Particle B’s distance from the wall in feet t seconds after the particles started moving.

a. Suppose f(t) represents the particles’ combined distance from the wall in feet t seconds after they started moving. Define the function f in terms of a and b.
f(t) =

b. Suppose g(t) represents how much further Particle B is from the wall than Particle A (in feet) t seconds after they started moving. Define the function g in terms of a and b.

g(t) =

c. t seconds after the particles started moving, Particle A’s distance from the wall is h(t) times as large as Particle B’s distance from the wall. Define the function h in terms of a and b.

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 120 lb and 161 lb. the new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 28.1 lb. a)if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb. the probability is approximately? b. if 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. the probability is approximately? c. when redesigning the ejection seat, which probability is more relevant? . part (b) because the seat performance for a single pilot is more important. b. part (b) because the seat performance for a sample of pilots is more important. c. part (a) because the seat performance for a sample of pilots is more important. d. part (a) because the seat performance for a single pilot is more important.