In airline applications, failure of a component can result in catastrophe. as a result, many airline components utilize something called triple modular redundancy. this means that a critical component has two backup components that may be utilized should the initial component fail. suppose a certain critical airline component has a probability of failure of 0.0066 and the system that utilizes the component is part of a triple modular redundancy. (a) assuming each component's failure/success is independent of the others, what is the probability all three components fail, resulting in disaster for the flight? (b) what is the probability at least one of the components does not fail?

Evaluate cos2θ for cosθ = square root of 3/2

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Olivia is using 160 quilt squares to make a red, yellow, and blue quilt if 25% of the quilt are red and 30% are yellow how many quilt squares are blue