A.

cannot be the power set of any set. Consult Cantor's theorem, which says that the cardinality of the power set of any set (even the empty set) is strictly greater than the cardinality of the set.
(No part b?)
c. Also not the power set of any set, because any power set must have

elements, where

is the cardinality of the original set. The cardinality of this set is 3, but there is no integer

such that

. This set would be a power set if

(that is, the set containing the empty set) were a member of it.
For this case we have the following definition:

Where,
d: distance
v: speed
t: time
Clearing the time we have:

The total driving time takes half an hour:

Clearing d we have:
Answer:
she lives 18 miles far from the store
Answer:
321,489 is the answer I got
Step-by-step explanation:
(sorry if wrong/incorrect!)
Answer:
Step-by-step explanation:
Step1: P(Burglary) = .001
Step2: P(Alarm|Burglary Happens) = .92
Step3: Probability of alarm going (in total) = P(Alarm) when burglary happens + P(Alarm) when burglary does not happen.
Step4: Use Bayes theorem.