Answer:
x=14
y=140
Step-by-step explanation:
Using (9x+14) + (3x-2) = 180, we can solve this equation.
First add like values giving you 12x+12=180. Then subtract 12 from both sides giving you 12x=168.
Then divide both sides by 12 giving you x=14.
Finally, just simply set 9x+14 equal to y and substitute x for 14. This gives you 140=y
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)):

Answer:
The area of the circular ring is 53.73 π sq. yards
Step-by-step explanation:
The diameter of the skating ring = 44 ft
Diameter = 2 x Radius
⇒Radius of the ring = 44 / 2 = 22 ft
Now, 1 ft = 0.333333 yards
⇒22 ft = 22 x 0.333333 yards = 7.3333 yards
Now, Area of the circular Ring = 
or, 
= 53.73 π sq. yards
or, the area of the circular ring is 53.73 π sq. yards
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