A businessman takes the 8:00 a. m. train to work on 20 days in a month. He is surprised when the train arrives late in New York on 3 of the 20 days. The businessman carried out a simulation to estimate the
probability that the train would arrive late on 3 or more. The dotplot below shows the number of days on
which the train arrived late in 100 repetitions of the simulation. What is the resulting estimate of the
probability?

Identify an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-1)

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)