The area of a square garden is 200 m². how long is the diagonal?
100 m
10 sqrt of 2
200 m
20 m

20 m 
Since we know that a square has four equal sides, we can find out the sides by taking the square root of the given area, which is 200 m^2.
Now we know that the sides of the square are 10 radical 2. However, the question is asking for the length of the diagonal. We can find out the diagonal of the square by slicing up the square into two triangles by drawing a diagonal from one corner to the other. We know that a square has 4 right angles. And we also know that the triangles are going to be a 45-45-90 degree triangle. Since we already know the side which is 10 radical 2, all we have to do is multiply radical 2 to it which is equal to 10 x 2= 20m 

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%

Goes from X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to X when Z has a pvalue 0.5 + 0.85/2 = 0.925.

Lower limit is 8

This means that when X = 8, Z has a pvalue of 0.075. So when .

Upper limit is 14

This means that when X = 14, Z has a pvalue of 0.925. So when .

From the lower limit, we have that

So

And