All possible diagonal drawn from the two afjacent vertices A and B of a regular hectogon divides the hectogon's interior into a number of non- overlapping shapes -triangles and quadrilaterals (without any part of a line inside them). How many of these shapes are triangles? (a hectogon is a polygon with 100 sides)

International calls require the use of a country code. many country codes a 3-digit numbers. country codes do not begin with a 0 or 1. there are no restrictions on the second and third digits. how many different 3-digit country codes are possible?

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

Show all work to identify the discontinuity and zero of the function f of x equals 6 x over quantity x squared minus 36