Six hundred seven and four hundred nine one-thousandths.
Answer:
Step-by-step explanation:
Next term of the given AP can be obtained by adding common difference (d) in the last term
![d = \sqrt{18} - \sqrt{8} = 3 \sqrt{2} - 2 \sqrt{2} = \sqrt{2} \\ next \: term = \sqrt{18} + \sqrt{2} \\ = 3 \sqrt{2} + \sqrt{2} \\ = 4 \sqrt{2} \\ = \sqrt{ {4}^{2} \times 2 } \\ = \sqrt{16 \times 2} \\ \huge \red{ \boxed{next \: term = \sqrt{32} }}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B18%7D%20%20-%20%20%5Csqrt%7B8%7D%20%20%3D%203%20%5Csqrt%7B2%7D%20%20-%202%20%5Csqrt%7B2%7D%20%20%3D%20%20%5Csqrt%7B2%7D%20%20%5C%5C%20next%20%5C%3A%20term%20%3D%20%20%5Csqrt%7B18%7D%20%20%2B%20%20%5Csqrt%7B2%7D%20%20%20%5C%5C%20%20%3D%203%20%5Csqrt%7B2%7D%20%20%2B%20%20%5Csqrt%7B2%7D%20%20%5C%5C%20%20%3D%204%20%5Csqrt%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%5Ctimes%202%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B16%20%5Ctimes%202%7D%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7Bnext%20%5C%3A%20term%20%3D%20%20%5Csqrt%7B32%7D%20%7D%7D)
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
![E = \frac{a+b}{2}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Ba%2Bb%7D%7B2%7D)
Uniformly distributed between 0 and 20 minutes.
This means that ![a = 0, b = 20](https://tex.z-dn.net/?f=a%20%3D%200%2C%20b%20%3D%2020)
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
![E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10](https://tex.z-dn.net/?f=E%5BT%5D%20%3D%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%20%3D%20%5Cfrac%7B0%20%2B%2020%7D%7B2%7D%20%3D%2010)
E[T] = 10
Decided by 12 is 2 your welcome