X = amount of 50% solution
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
Complete question is attached;
Answer:
Option D: 0.3069
Step-by-step explanation:
Formula for coefficient of variation on the company's stock is;
CV = σ/E(r)
Where σ is the standard deviation and E(r) is expected value of return.
From the attached image, we can find E(r) as;
E(r) = 0.45(25) + 0.5(15) + 0.05(5)
E(r) = 19%
From online calculation, the standard deviation is 5.83%
Thus;
CV = 5.831/19
CV ≈ 0.3069
Answer:
x=5
Step-by-step explanation:
From this information we know that,

Hope it helps :)
Step-by-step explanation:
The answer to ur question is 199977