Marksmanship competition at a certain level requires each contestant to take ten shots with each of two different handguns. final scores are computed by taking a weighted average of four times the number of bull’s-eyes made with the first gun plus six times the number gotten with the second. if cathie has a 30% chance of hitting the bull’s-eye with each shot from the first gun and a 40% chance with each shot from the second gun, what is her expected score?