Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
Complementary angles add up to 90 degrees.
The complement of 57 is (90 - 57) = 33 degrees.
Answer:
[see below]
Step-by-step explanation:
Randy first won 12 points on Monday. He earned as twice as many on Tuesday.
12 * 2 = 24
Randy scored 24 points Tuesday.
Randy earned 3 more points than Tuesday's points the next day.
24 + 3 = 27
Randy earned 27 points Wednesday.
12 + 24 + 27 = 63
Randy should earn a total of 63 points for the 3 days.
Hope this helps.
If 2m and 8m are the base and height of the parallelogram, then the area is 16.
