Here ya go, I hope this helps :)
a. The marginal densities

and

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
Answer:
1, 3, and 4 would be correct answers
Step-by-step explanation:
1.) <u>-x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2</u>
2.) -3x + 2y + 3y + 2 = -3x + 5y + 2
3.) <u>-3x - y - y - y - y - y + 2 = -3x - 5y + 2</u>
4.) <u>-x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2</u>
5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2
Hope this helps!
Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in
and
. We are asked to classify our given
.
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:

Upon substituting our given values we will get,




As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore,
is an obtuse triangle and option D is the correct choice.