Answer:
165/32= 5 5/32 = 5.15625
Step-by-step explanation:
it is already simplflied
Answer:
- 3rs
Step-by-step explanation:
6rs — 7bc (-) 9rs — 7bc = 6rs - 7bc - 9rs - 7bc
=6rs - 9rs - 7bc - 7bc (collecting the like terms)
= - 3rs
Answer:
Refractive index of a medium depends upon the refractive index of the surroundings
Answer:
![z=\frac{ln(26)}{4}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bln%2826%29%7D%7B4%7D)
Step-by-step explanation:
The given equation is:
![0.5\,e^{4z}=13](https://tex.z-dn.net/?f=0.5%5C%2Ce%5E%7B4z%7D%3D13)
so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:
![0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26](https://tex.z-dn.net/?f=0.5%5C%2Ce%5E%7B4z%7D%3D13%5C%5Ce%5E%7B4z%7D%3D%5Cfrac%7B13%7D%7B0.5%7D%5C%5Ce%5E%7B4z%7D%3D26)
Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":
![e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}](https://tex.z-dn.net/?f=e%5E%7B4z%7D%3D26%5C%5Cln%28e%5E%7B4z%7D%29%3Dln%2826%29%5C%5C4%5C%2Cz%3Dln%2826%29%5C%5Cz%3D%5Cfrac%7Bln%2826%29%7D%7B4%7D)
Answer:
The player should be required to pay $5 to make this a fair game.
Step-by-step explanation:
U ~ Uniform(0, 10)
E[U] = (0 + 10)/2
= 5
X | U ~ Poisson(U)
E[X | U] = U
By law of total probability for expectations,
E[X] = E[E[X|U]] = E[U] = $5
Therefore the player should be required to pay $5 to make this a fair game.