The equation m = 32 × g respresents the average number of miles, m, that a car can go on, g, gallons of gas. what is the constant of proportionality and what does it represent in this situation?

The constant of proportionality in this situation is 32 and it represent the miles.

m = 32 x g can be interpret as

m(average number of miles) = 32(miles) X g(gallon)

 0.5

Step-by-step explanation:

Given : Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa.

i.e. Flight time =   2(60) +5= 125 minutes  [∵ 1 hour = 60 minutes]

Actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.

i.e. In minutes the flight times are between 120 minutes and 140 minutes.

Let x be a uniformly distributed variable in [120 minutes, 140 minutes] that  represents the flight time.

Since the probability density function for x uniformly distributed in [a,b] is

⇒ Probability density function for flight time  :

5 minutes late than usual time = Flight time+ 5 = 125+5 = 130 minutes

Now , the probability that the flight will be no more than 5 minutes late will be :-

Hence, the probability that the flight will be no more than 5 minutes late is 0.5.