The first step is to combine like terms. So u would do 2-6. You then get -4 then u just bring everything else down. So now u should have this :
8x -4 = 4x + 8 + 3x
Now you do the same thing to the other side. U combine like terms which in this case are 4x and 3x. So u just do 4+3 which is 7 so now u have 7x. So now ur equation would be:
8x -4 = 7x +8
Now u do the inverse of 7 which would be -7 and u do that on both sides. So it would look like this :
8x -4 = 7x + 8
-7x. -7x
So now 7 and -7 cancel each other other and 8 -7 is 1 so now u have one x. So ur equation would now look like this:
1x -4 = 8
Now u do the inverse of negative 4 which is +4. So you would add 4 on both sides on both sides. Like shown:
1x -4 = 8
+4 +4
So u just add 8 + 4 which is 12. Now since anything times 1 is itself ur answer will be X=12
Hope this helped
(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)):

A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found
Answer:
Step-by-step explanation:
Given:
Type of Flowers = 5
To choose = 4
Required
Number of ways 4 can be chosen
The first flower can be chosen in 5 ways
The second flower can be chosen in 4 ways
The third flower can be chosen in 3 ways
The fourth flower can be chosen in 2 ways
Total Number of Selection = 5 * 4 * 3 * 2
Total Number of Selection = 120 ways;
Alternatively, this can be solved using concept of Permutation;
Given that 4 flowers to be chosen from 5,
then n = 5 and r = 4
Such that

Substitute 5 for n and 4 for r





Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways