An airport limousine can accommodate up to four passengers on any one trip. the company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. from previous records, 45% of all those making reservations do not appear for the trip. answer the following questions, assuming independence wherever appropriate. (round your answers to three decimal places.)

(a) if six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
1

(b) if six reservations are made, what is the expected number of available places when the limousine departs?
2 places

answer: options?

step-by-step explanation:

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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.