In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. Find the conditional probability mass function pY|X(y|1). Round the answers to two decimal places.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5

Uestion 1(multiple choice worth 5 points) (05.02)alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. calculate the area of the isosceles trapezoid. isosceles trapezoid with top base 12 feet, bottom base of 18 feet, and height of 6 feet. 72 ft2 84 ft2 90 ft2 108 ft2

If i had 1234 apples and 1 banana what is the total amount