The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. from this data, we can conclude that 68% of the students received scores between

51 and 64

Step-by-step explanation:

The Empirical Rule states that 68% of normally distributed data lies within one standard deviation of the mean.

Hence, if the mean is 57.5, one standard dev. above that is 57.5+6.5, or 64, and one standard dev. below the mean is 57.5-6.5 = 51.

Thus,

we can conclude that 68% of the students received scores between 51 and 64.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x