Answer:
a) the point is on the line
b) the lines are the same line
Step-by-step explanation:
a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.
b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.
a. 
is a joint density function if its integral over the given support is 1:
so the answer is yes.
b. We should first find the density of the marginal distribution, 
:
Then
or about 0.2019.
For the other probability, we can use the joint PDF directly:
which is about 0.7326.
c. We already know the PDF for 
, so we just integrate:
![E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5](https://tex.z-dn.net/?f=E%5BY%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20y%5C%2Cf_Y%28y%29%5C%2C%5Cmathrm%20dy%3D%5Cfrac15%5Cint_0%5E%5Cinfty%20ye%5E%7B-y%2F5%7D%5C%2C%5Cmathrm%20dy%3D%5Cboxed5)
Answer:
3
Step-by-step explanation:
slope is rise over run
6/2 simplifyed is 3/1 or just 3
For 3 cups... vanilla needed - 1 teaspoon
for 1 cup...vanilla needed- 1/3 teaspoon
for 5 cups, vanilla needed- 5/3 teaspoon
In short , 1.67 or 5/3 teaspoon of vanilla is needed for 5 cups of floor
The answer is 42,8,6 that it the right answer
