In a class of 30 students, 20 students like Math and 15 like Science. Also, each student likes at least one of the two

subjects. Find how many students like both the subjects. Also,

illustrate the above information in a Venn-diagram.​

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary

If 1 is divided by the sum of y& 4. the result is equal to 3 divided by 4 .find the value of m?

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