The average number of miles driven on a full tank of cas in a certain model car before its low fluel light comes on is 397. Assume this mileage follows the normal distribution with a standard deviation of 27 miles. complete parts a through d. Round 4 decimal placed for all answers
A. what is the probability that, before the low fuel light comes on, the care will travel less then 421 miles on the next tank of gas?
B. what is the probability that, before the low fuel light comes on, the care will travel more then 367 miles on the next tank of gas?
C. what is the probability that, before the low fuel light comes on, the car will travel between 370 and 390 miles on the next tank of gas?
D. what is the probability that, before the low fuel light comes on, the car will travel exaxtly 378 miles on the next tank of gas?

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:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.