The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used.
That is,
T = 6 quarts + 10 quarts = 16 quarts
The total volume of the resulting mixture is 16.
Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.
6(0.52) + 10(0.32) = 16(x)
The value of x from the equation is 0.395.
Therefore, the answer to this item is 39.5%.
Answer:
The minimum number of cities we need to contact is 96.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence interval
So 
, z is the value of Z that has a pvalue of 
, so 
.
In this problem, we have that:
The minimum number of cities we need to contact is 96.
Answer:
The answer to your question is b = 8.06 cm
Step-by-step explanation:
Data
hypotenuse = c = 9 cm
long leg = b = ?
short leg = a = 4 cm
Process
This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 9² - 4²
-Simplification
b² = 81 - 16
b² = 65
-Result
b = 8.06 cm
