5) Spaceship Problem. Fly-By-Night Spaceship Company produces a booster rocket that has 1000 vítal parts. If any one of these parts fail,
the booster will crash, so they design each part with a reliability of 99.9%,
meaning that the probability of an individual part working is 0.999.
a) What is the probability that all 1000 parts work, and the booster
does not crash? Surprising?
b) What is the minimum reliability needed for each part to insure
that there is a 90% probability of all 1000 parts working?

the answer is n

answer is 67%

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.