Amachine has four components, a, b, c, and d, set up in such a manner that all four parts must work for the machine to work properly. assume the probability of one part working does not depend on the functionality of any of the other parts. also, assume that the probabilities of the individual parts working are p(a) = p(b) = 0.93, p(c) = 0.95, and p(d) = 0.92. find the probability that the machine works properly.

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

How do you determine whether a relationship represented as as graph is linear or nonlinear

Sundar used linear combination to solve the system of equations shown. he did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. what number did sundar multiply the second equation by? 2x+9y=41 3x+5y=36