Your neighbor has an alarm system that has three alarms (main, backup, and second backup) with reliability of 80%, 70%, and 60%. Compute the probability of a system failure by creating a tree diagram.

Because the probabilities of success of the three alarms are 80%, 70%, and 60%, the probabilities of failure are 20%, 30%, and 40%, respectively. Multiply the three probabilities to find the probability of a system failure: 0.2 × 0.3 × 0.4 = 0.024. The probability of a system failure in this example is 2.4%.

Step-by-step explanation:

42

step-by-step explanation:

256/6=42

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: