19° i think can I have brainliest
Step-by-step explanation:
The answer will be
1. -16
2. 1 1/8
Answer:
![9^{-16}](https://tex.z-dn.net/?f=9%5E%7B-16%7D)
Step-by-step explanation:
Whenever you are adding exponents that have the same base (in this case the base is 9), you simply add the exponents. The base will stay the same because you are just adding the exponents
![-53 + 37=-16](https://tex.z-dn.net/?f=-53%20%2B%2037%3D-16)
So, your answer is ![9^{-16}](https://tex.z-dn.net/?f=9%5E%7B-16%7D)
Hope this helps!
Answer:
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29%3D%20F%281.1%29%20-F%280.55%29%20)
And replacing we got:
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29%3D%20%281-e%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A1.1%7D%29%20-%281-e%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A0.55%7D%29)
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29%3De%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A0.55%7D-%20e%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A1.1%7D%3D0.2457)
And rounded the answer would be 0.246
Step-by-step explanation:
For this case we can define the random variable X as "The commute time for people in a city" and for this case the distribution of X is given by:
![X \sim exp (\lambda = \frac{1}{0.66}= 1.515)](https://tex.z-dn.net/?f=%20X%20%5Csim%20exp%20%28%5Clambda%20%3D%20%5Cfrac%7B1%7D%7B0.66%7D%3D%201.515%29)
And for this case we want to find the following probability:
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29)
And we can use the cumulative distribution function given by:
![F(x) =1- e^{-\lambda x}](https://tex.z-dn.net/?f=%20F%28x%29%20%3D1-%20e%5E%7B-%5Clambda%20x%7D)
And using this formula we got:
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29%3D%20F%281.1%29%20-F%280.55%29%20)
And replacing we got:
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29%3D%20%281-e%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A1.1%7D%29%20-%281-e%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A0.55%7D%29)
![P(0.55](https://tex.z-dn.net/?f=%20P%280.55%20%3CX%3C1.1%29%3De%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A0.55%7D-%20e%5E%7B-%5Cfrac%7B1%7D%7B0.66%7D%20%2A1.1%7D%3D0.2457)
And rounded the answer would be 0.246