We have
, and for each possible outcome we can determine the corresponding probability using the fact that
is uniformly distributed among
.
1/5
1x15_15_ 1
5x3 --15--1
I hope this was of great help!!
Hi there!
The angle of this problem appears to be 125° which indeed would make this an obtuse angle. The reason this is 125° and not 65° is that the angle in the picture is reversed so the line on the bottom is not pointing toward zero like a traditional angle, so it would be 125° instead.
-ASIAX <span>Frequent Answerer</span>
We're measuring a quantity of pure detergent.
We start with 11 gallons of an 18% solution. 18% of that, or 1.98 gallons, is pure detergent, and the rest of these 11 gal. is water: 9.02 gal. We will add x gallons of water to this solution to obtain (11+x) gallons of a 12% solution.
We need to find x to satisfy this equation:
(11 gallons + x)(0.12) = (11 gallons)(0.18)
Div. both sides by 0.12, we get (11 gallons + x) = (11 gallons)(1.5)
Mult. both sides by 10, we get 110 gallons + 10x = (11 gallons)(15)
Then 10x = 165 gallons - 110 gallons, or 55 gallons.
Div. both sides by 10, we get x = 5.5 gallons (answer)
The answer is 1.5 if u need an explanation just ask