The left-hand "tail" of the standard normal curve can be defined as the part of it that lies at least two standard deviations to
the left of the mean. According to the Empirical Rule, approximately what percentage of the area under the whole curve is in the left-hand tail? Round your answer to the nearest tenth.
The Empirical Rule states that 95% of the values lies between two standard deviations to the left of the mean and two standard deviations to the right of the mean. 50% of the values lies on the left side respect to the mean; so, 95%/2 = 47.5% of the values lies in the region formed two standard deviations to the left of the mean. In consequence, 50% - 47.5% = 2.5% of the values lies on the left-hand "tail" of the standard normal curve.
For 30 60 90 triangles, the ratio of the side lengths is where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)
so the ratio of the longer leg to the hypotenuse is <span> or </span> <span>which equals </span>
