Answer:
12
Step-by-step explanation:
The hypotenuse of a 45-45-90 triangle is equal to the length of a leg times 
So, in your problem,

= 6(2) = 12
After the 25% discount the vase would cost $18.00
By using these measurements and drawing out a triangle, you have two sides “a” and “b” and are trying to find “c”. using pythagorean theorem you can determine that “a^2 + b^2 = c^2”. plug in your distances (20 and 14) and you get 24.4 as your distance.
Answer:
12.92%
Step-by-step explanation:
Mean of the scores= u = 500
Standard deviation =
= 10.6
We have to find what proportion of students scored more than 512 marks.
The distribution of scores in a test generally follows the Normal distribution. So we can assume that the distribution of MCAT scores is normally distributed about the mean.
Since, the distribution is normal, we can use the concept of z scores to find the proportion of students who scored above 512.
The formula for z scores is:

So, z score for x = 512 will be:

Thus,
P(X > 512) is equivalent to P(z > 1.13)
So, the test scores of 512 is equivalent to a z score of 1.13. Using the z table we have to find the proportion of z scores being greater than 1.13, which comes out to be 0.1292
Since,
P(X > 512) = P(z > 1.13)
We can conclude that, the proportion of students taking the MCAT who had a score over 512 is 0.1292 or 12.92%