Answer: 387
Step-by-step explanation:
Given : Standard deviation:
Margin of error : 0.15
Critical value for 80% confidence interval = 1.2816
Required minimum sample size :
Hence, the minimum sample size required to estimate the mean usage of water = 387
First of all, a bit of theory: since the area of a square is given by
where s is the length of the square. So, if we invert this function we have
.
Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by
So, the diagonal is the side length, multiplied by the square root of 2.
With that being said, your function could be something like this:
double diagonalFromArea(double area) {
double side = Math.sqrt(area);
double diagonal = side * Math.sqrt(2);
return diagonal;
}