(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)):
-4 next to x value means the graph is moved 4 units to the right
+5 on the end of the function means the graph is moved up 5 units
Step-by-step explanation:
We can use the formula to find the number of moles. As ,
n = No. of particles/ N_A
n = 3.01× 10¹⁸/6.022 × 10²³
n = 1/2 / 10⁵
<h3>Hence the number of particles is 1/2 / 10⁵ </h3>
Answer:ANSWER: $35 + (-$7) + (-$5)
Step-by-step explanation:
Total - book $ - magazine $
Which is equal to:
Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)
Hope this helps! :)
Id think the awnser is 7x=35 but not sure.
