1. Avital counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stay the same, how many more
1 answer:
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(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)):
name the points
a=(x1,y1) b=(x2,y2)
a=(6,8) b=(9,10)
use the slope formula
replace
answer= The slope is equal to 2/3
a=(9,10) b=(6,8)
using the formula
slope will also be 2/3