(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:
For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:
which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):
The required equation is y = -9
Step-by-step explanation:
Step 1 :
Given the line l is perpendicular to the y axis
The equation of the y axis is x = 0
So any line perpendicular to the y axis will have equation as y = k , where k is a constant value for any value of x
Step 2 :
Its given that the line is passing through the point (0.-9). Here the y co ordinate is -9. Hence the perpendicular line has a constant y co ordinate of y = -9 for any value of x
So the required equation is y = -9
Step 3 :
Answer :
The required equation is y = -9
Answer:
Carly owns 14 books.
Step-by-step explanation:
42/3= 14
hope this helps!!! (:
7 7/8 - 3 1/4
7 7/8 = 6.125
3 1/4 = 0.75
so 6.125 - 0.75
= 5.375
as a mixed fraction the answer is 5 3/8
I used a ratio.
40%/100%=26kg/x
solve for x
x=65kg
