Given the mean 71.4 and sample standard deviation 11.5 what is the z- score of a data with a value of 85?

1.18

Step-by-step explanation:

Z = (x - mean) / standard deviation

Z = (85 - 71.4) / 11.5

Z = 13.6 / 11.5 = 1.18

The discriminant tells us how many real solutions there are. Since the parabola doesn't have any x-intercepts, the discriminant is less than zero, and therefore is answer A.

If a discriminant is:
>0, there are 2 x-intercepts
=0, there is 1 x-intercept
<0, there are no x-intercepts