Find the marginal density for
by integrating the joint PDF over all possible values of
:


Then the density of
conditioned on
is

for
and undefined elsewhere.
Thus

= = =
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4/16=.25
$0.25/oz
Each ounce is 25 cents. Multiply .25 by 16 and you get 4.
Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is
, so the polar form of that number is (18,
)
Answer:
$12.50
Step-by-step explanation:
$100 divided by 8 hours = $12.50
Answer:
f(-3) = 16
Step-by-step explanation:
You substitute -3 to x.
f(-3) = 2(-3)² - 5(-3) - 17
f(-3) = 16.
As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).