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Answer:
The required probability is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Consider the provided information.
We need to find the probability that the first flip results in a head.
Therefore probability of lending head is ![P\sim U(1,0)](https://tex.z-dn.net/?f=P%5Csim%20U%281%2C0%29)
The first flip is head can be calculated as:
![\int\limits^1_0 {p} \, dp](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%20%7Bp%7D%20%5C%2C%20dp)
Integrate the above function as shown below:
![\int\limits^1_0 {p} \, dp=[\frac{p^2}{2}]^1_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%20%7Bp%7D%20%5C%2C%20dp%3D%5B%5Cfrac%7Bp%5E2%7D%7B2%7D%5D%5E1_0)
![=\frac{1^2}{2}-\frac{0^2}{2}=\frac{1}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%5E2%7D%7B2%7D-%5Cfrac%7B0%5E2%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Hence, the required probability is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Answer:
Step-by-step explanation:
Total number of miles is 700.
On the first day, they drove 6 and 2/3 hours. We would convert 6 and 2/3 hours to improper fraction. It becomes 20/3 hours. On the second day, they drove 5 and 3/4 hours. Converting to improper fraction, it becomes 23/4 hours. Total number of hours that they drove during the first two days is the sum of hours driven on the first day and hours driven on the Second day. It becomes
20/3 + 23/4 = (80 + 69)/12
= 149/12 hours
Answer:
![\displaystyle 93,5\:in.^2 \approx A](https://tex.z-dn.net/?f=%5Cdisplaystyle%2093%2C5%5C%3Ain.%5E2%20%5Capprox%20A)
Step-by-step explanation:
![\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7B2%7Da%5E2%20%3D%20A%20%5Chookrightarrow%20%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7B2%7D6%5E2%20%3D%20A%20%5C%5C%20%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7B2%7D%5B36%5D%20%3D%20A%3B%2054%5Csqrt%7B3%7D%5C%3A%5Bor%5C%3A93%2C530743609...%5D%20%5C%5C%20%5C%5C%20%5Cboxed%7B93%2C5%20%5Capprox%20A%7D)
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