Answer:
6 liters
Step-by-step explanation:
Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...
0.20·10 +1.00x = 0.50(10+x)
x +2 = 0.5x +5 . . . . . eliminate parentheses
0.5x = 3 . . . . . . . . . . .subtract 2+0.5x
x = 6 . . . . . . . . . . . . . multiply by 2
6 liters of pure concentrate must be added to make a 50% punch.
The solution of
is 
<em><u>Solution:</u></em>
Given that we have to find the solution of given expression
Given expression is:

Let us first convert the mixed fraction to improper fraction
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Therefore,


Now the expression becomes,

Solve and simplify the above expression

In decimal form we get,

Thus the solution to given expression is found
The percentage of published studies that supported the tested hypothesis has changed from 70 to 85% over the past 25 years.
Hypothesis testing:
A hypothesis testing means investigates a proposed mathematical model to determine whether there is sufficient evidence from a sample of data to reject the defined null hypothesis.
Given,
The percentage of published studies that supported the tested hypothesis has changed from _____ to _____ over the past 25 years.
Here we need to find the change in the percentage for the past 25 years.
Based on the details, the percentage of published studies that supported the tested hypothesis has changed from 70 to 85% over the past 25 years.
To know more about Tested Hypothesis here.
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Answer:
0.5 meter
Step-by-step explanation:
Calculate the height of the vessel. = 0.77 m³ So, Volume of the cylinder, V = 0.77 m³. Hence, the height of the cylinder is 0.5 meter