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Answer:</h2>
Here is how to find the equation of the line using point-slope form
Formula for the equation of a line in <em>point-slope form</em>: y - y₁ = m(x - x₁)
Now that we have the formula, we plug in what we are given.
y - 9 = 4(x + 3)
We can covert this into slope-intercept form by solving for y.
![y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21](https://tex.z-dn.net/?f=y%20-%209%20%3D%204%28x%20%2B%203%29%5C%5C%5C%5Cy%20-%209%20%3D%204x%20%2B%2012%5C%5C%5C%5Cy%20%3D%204x%20%2B%2021)
Our equation for this line is: <em>y = 4x + 21</em>.
We can prove this by graphing the line, like so:
Answer:
![P(X=6)](https://tex.z-dn.net/?f=%20P%28X%3D6%29)
If we use the probability mass function we got:
![P(X=6) = \frac{e^{-3.3} 3.3^6}{6!}= 0.0662](https://tex.z-dn.net/?f=%20P%28X%3D6%29%20%3D%20%5Cfrac%7Be%5E%7B-3.3%7D%203.3%5E6%7D%7B6%21%7D%3D%200.0662)
Step-by-step explanation:
Previous concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
Solution to the problem
Let X the random variable that represent the number of students arrive at the office hour. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
And we want this probability:
![P(X=6)](https://tex.z-dn.net/?f=%20P%28X%3D6%29)
If we use the probability mass function we got:
![P(X=6) = \frac{e^{-3.3} 3.3^6}{6!}= 0.0662](https://tex.z-dn.net/?f=%20P%28X%3D6%29%20%3D%20%5Cfrac%7Be%5E%7B-3.3%7D%203.3%5E6%7D%7B6%21%7D%3D%200.0662)
1.7 meters are 17 decimeters
Answer:
2 + 2 = 4
Step-by-step explanation:
xos.qoqajeiwnsjsbs
This is pretty much half the volume of a rectangular prism, so we multiply 4.8*2.5*3.4 to get 40.8 mm^3
Then we take half of that to get 20.4 mm^3
Hope that helped you to understand!