Answer:
Therefore the third container contains
= 43.23 % acid.
Step-by-step explanation:
Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.
Let the volume of first container be x cubic unit.
Since the volume of second container is 55% larger than the first.
Then the volume of the second container is
cubic unit.
cubic unit.
The amount of acid in first container is
cubic unit.
cubic unit.
The amount of acid in second container is
cubic unit.
cubic unit.
Total amount of acid
cubic unit.
cubic unit.
cubic unit.
Total volume of mixture
cubic unit.
cubic unit.
cubic unit.
The amount of acid in the mixture is
![=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctextrm%7BThe%20volume%20of%20acid%7D%7D%7B%5Ctextrm%7BThe%20amount%20of%20mixture%7D%7D%5Ctimes%20100%20%5C%25)
![=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%](https://tex.z-dn.net/?f=%3D%5Cfrac%20%7B%5Cfrac%7B11025%7D%7B10000%7DV%7D%7B%5Cfrac%7B255%7D%7B100%7DV%7D%5Ctimes%20100%5C%25)
![=\frac{735}{17}\%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B735%7D%7B17%7D%5C%25)
Therefore the third container contains
acid.
65+2i is the answer- I am almost 100 percent sure
The probability is 0.0334.
We will first find the probability that none of the 30 people sampled are infected. Since the probability of one person being infected is 0.00114, the probability that someone is not infected is 1-0.00114 = 0.99886. The probability that none of the 30 people are infected would be (0.99886)^30 = 0.966359. We subtract this from one to find the probability that at least one person is infected:
1 - 0.966359 = 0.0334.
Answer:
Step-by-step explanation:
If the circumference of the circle is x cm the perimeter of the square will be 38-x cm.
The area of the square = (38-x)^2.
The radius r of the circle = circumference /2π = x / 2π.
The area of the circle = πr^2 = π * (x / 2π)^2
= x^2/ 4π.
So total area A = (38 - x)^2 + x^2/4π
A = 1444 - 76x + x^2 + x^2/ 4π
A = x^2 - 76x + 0.07958x^2 + 1444
A = 1.07958x^2 - 76x + 1444