Answer:
0.5969 = 59.69% probability that it was a flight of airline A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Left on time.
Event B: From airline A.
Probability of a flight leaving on time:
81% of 48%(airline A).
61% of 26%(airline B)
40% of 26%(airline C). So
Probability of leaving on time and being from airline A:
81% of 48%. So
What is the probability that it was a flight of airline A?
0.5969 = 59.69% probability that it was a flight of airline A
The larger one should be 29*1016. Round 1016 down to 1000.
You get 29000 when you do that.
6 * 1020 is roundable to 6*1000 which is 6000
If you round 29000 to 30000 then 29*1016 should be 5 times larger than 6 * 1020
Check it out.
29 * 1016 = 29464
6 * 1020 = 6120
When you divide the smaller into the larger, you get 4.18 which is in the same ball park as 5.
Estimating is a skill you need when you are shopping and when you are writing tests. If you need to know if 4.18 is a good answer when a rounded answer is 5, you know you've done the work properly.
Rounding should permit you to get an answer in your head.
Answer:
5x-6+7x+12=180
Step-by-step explanation:
5x+7x = 12x
12x - 6 +12 = 180
add 12 and -6 to get 6.
12x + 6 = 180
subtract 6 from both sides to get 174.
12x = 174.
now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6
