Consider the triangle with vertices (0, 0), (1, 0), (0, 1). Suppose that (X, Y ) is a uniformly chosen random point from this tr
iangle. (a) Find the marginal density functions of X and Y . (b) Calculate the expectations E[X] and E[Y ]. (c) Calculate the expectation E[XY ].
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Divide the total amount of keys produced by the amount of keys a piano requires to find the amount of pianos a factory made:
The factory made 6204 pianos in 12 months.
Because the question asks for the amount of pianos made for the first 3 months, we'll divide the total 12 months by the 3 months the question asks for:
Now we'll divide the total amount of pianos made in 12 months by this number to find the pianos made in 3 months:
1551 pianos were made in the first 3 months of production.
The factory made 6204 pianos in 12 months.
Because the question asks for the amount of pianos made for the first 3 months, we'll divide the total 12 months by the 3 months the question asks for:
Now we'll divide the total amount of pianos made in 12 months by this number to find the pianos made in 3 months:
1551 pianos were made in the first 3 months of production.
We are given the hypotenuse, an angle, and a side that is <em>adjacent </em>to the angle. If we need to find the angle, we use a trigonometric ratio known as cos(x):
We need to solve for x, so we need to cancel cos from the other side. The inverse of cos(x) is arccos(x):
Now, we can safely solve for x:
So, your answer is: x = 58.85°.
We need to solve for x, so we need to cancel cos from the other side. The inverse of cos(x) is arccos(x):
Now, we can safely solve for x:
So, your answer is: x = 58.85°.