Exactly 80 liters of 20% are needed.
Let quantity of 20% alcohol solution be added : x liters
Here is the work:
> x*20% + 40 * 50% = (x+40) * 30%
> x*0.2 + 40*0.5 = (x+40)*0.3 ..(converting percentages into decimal)
> 0.2x + 20 = 0.3x + 12
> 20-12 = 0.3x - 0.2x (Rearranging similar terms)
> 8 = 0.1 x
Hence x = 8/0.1
Ans 80 Litres
Answer:
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Answer:
0.67038
Explanation:
One z-value is negative and the other is positive.
This means we are looking for area between the two given z-values on opposite sides of the mean.
From z-table attached, the area at z = -2.31 is 0.98956
Also, from the second z-table attached, the area at z = 0.47 is 0.68082
But since we are looking for the area between both z-scores, we will now have;
P(-2.31 < x < 0.47) = (0.98956 + 0.68082) - 1
P(-2.31 < x < 0.47) = 0.67038
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