Answer:
They are parrellel and share the same angle conguence.
Answer:
20 square units
Step-by-step explanation:
If you were to graph the four points(creating a table on desmos is a good option) you would find that one side is 4 units long and the other is 5 units long. You multiply 4 times 5 to get that the area is 20 units squared. :)
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
![Y_n\rightarrow N(\mu, \sigma^2)](https://tex.z-dn.net/?f=Y_n%5Crightarrow%20N%28%5Cmu%2C%20%5Csigma%5E2%29)
![\mu = 40n](https://tex.z-dn.net/?f=%5Cmu%20%3D%2040n)
![\sigma^2=100n](https://tex.z-dn.net/?f=%5Csigma%5E2%3D100n)
![n=20](https://tex.z-dn.net/?f=n%3D20)
then,
The required probability will be:
= ![P(Y_{20}>1000)](https://tex.z-dn.net/?f=P%28Y_%7B20%7D%3E1000%29)
= ![P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )](https://tex.z-dn.net/?f=P%28%5Cfrac%7BY_%7B20%7D-%5Cmu%7D%7B%5Csigma%7D%20%3E%5Cfrac%7B1000-40%5Ctimes%2020%7D%7B%5Csqrt%7B100%5Ctimes%2020%7D%20%7D%20%29)
= ![P(Z>\frac{1000-800}{44.7214} )](https://tex.z-dn.net/?f=P%28Z%3E%5Cfrac%7B1000-800%7D%7B44.7214%7D%20%29)
= ![P(Z>\frac{200}{44.7214} )](https://tex.z-dn.net/?f=P%28Z%3E%5Cfrac%7B200%7D%7B44.7214%7D%20%29)
= ![P(Z>4.47)](https://tex.z-dn.net/?f=P%28Z%3E4.47%29)
By using the table, we get
= ![0.0000039110](https://tex.z-dn.net/?f=0.0000039110)
1 hour = 40 miles.
5 hours = 40 x 5
5 hours = 200 miles.
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Answer: The car can travel 200 miles in 5 hours.
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