Answer:
90 90909090909090909090909090
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
Answer: 0.1499
Step-by-step explanation:
Given : The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with mean 
Standard deviation : 
z-score : 
For X = 11.5
For X = 11.6
Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-
Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499
