A ranger in a lookout tower spots two fires on the campground below. Fire A is 75 meters east and 40 meters south of the tower. Fire B is 37 meters west and 64 meters south of the tower. If there is a fire hydrant located three-fourths of the way from Fire A to Fire B, find the location of the fire hydrant relative to the tower. (Assume the tower is at point (0,0))

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

(x-5)1/2+5=2 what is a possible solution?

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.