Nicolette makes a small bead bracelet using 5 red beads 8 purple beads and 6 green beads. A large necklace has the same ratio of beads as a small bracelet. If the large necklace needs 15 beads how many purple beads are needed to make a large bracelet?

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

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Write two point-slope equations for the line passing through the points (6, 5) and (3, 1)