Answer: Our required probability is 0.64.
Step-by-step explanation:
Since we have given that
Let A be the event that he upgrades his seat to first class.
Let B be the event that he checks in at least 2 hours early.
Let B' be the event that he does not checks in at least 2 hours early.
So,
![P(A|B)=0.8\\\\P(A|B')=0.3\\\\P(B)=40\%=0.4\\\\P(B')=60\%=0.6](https://tex.z-dn.net/?f=P%28A%7CB%29%3D0.8%5C%5C%5C%5CP%28A%7CB%27%29%3D0.3%5C%5C%5C%5CP%28B%29%3D40%5C%25%3D0.4%5C%5C%5C%5CP%28B%27%29%3D60%5C%25%3D0.6)
By using Bayes' theorem, we get that
![P(B|A)=\dfrac{P(B).P(A|B)}{P(B).P(A|B)+P(B').P(A|B')}\\\\P(B|A)=\dfrac{0.8\times 0.4}{0.8\times 0.4+0.3\times 0.6}\\\\P(B|A)=\dfrac{0.32}{0.32+0.18}\\\\P(B|A)=0.64](https://tex.z-dn.net/?f=P%28B%7CA%29%3D%5Cdfrac%7BP%28B%29.P%28A%7CB%29%7D%7BP%28B%29.P%28A%7CB%29%2BP%28B%27%29.P%28A%7CB%27%29%7D%5C%5C%5C%5CP%28B%7CA%29%3D%5Cdfrac%7B0.8%5Ctimes%200.4%7D%7B0.8%5Ctimes%200.4%2B0.3%5Ctimes%200.6%7D%5C%5C%5C%5CP%28B%7CA%29%3D%5Cdfrac%7B0.32%7D%7B0.32%2B0.18%7D%5C%5C%5C%5CP%28B%7CA%29%3D0.64)
Hence, our required probability is 0.64.
![\huge \mathbb \fcolorbox{black}{pink}{Answer:-}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cmathbb%20%5Cfcolorbox%7Bblack%7D%7Bpink%7D%7BAnswer%3A-%7D)
Easy since this isn't a L × W × H situation, you simply add them.
Your aAnswer should be 325 ft.
You would change 22 to a decimal which would be .22 then multiply that by 900 which would be 198. So she spent 198 dollars on the phone
Answer:
1. 3cm
2. 6m
Step-by-step explanation:
If all angles are right angles, it means that both lengths on the right side add up to the length on the left side.
For the first one, the length on the left is 7cm, and there are two lengths on the right: 4cm and an unknown we can call 'x'.
We know that both of the right lengths add to the left length so we can represent this as so:
4+x=7
To solve for x we can minus 4 from both sides:
x+4-4 = 7-4
x = 7 -4
x = 3cm
We can solve the second one in a similar fashion:
x + 6 = 12
x + 6 - 6 = 12 - 6
x = 12 - 6
x = 6m
Hope this helped!