If you have a positive z-score, what do you know about the area under the curve?

A positive z-score indicates that the data point is above the mean of the data set. In terms of the area under the curve, this means that more than 50% of the data lies to the left of this point. The exact percentage depends on the value of the z-score. The higher the z-score, the greater the percentage of data that lies to its left under the curve. This is because the z-score measures the number of standard deviations a data point is from the mean, and the standard deviation is a measure of spread in the data. So a higher z-score means the data point is further to the right on the curve, and thus a larger proportion of the data lies to its left.