Last year billy was 48 inches tall this year he is 54 inches tall . what is the percent increase in billy height

12.5%

Step-by-step explanation:

Subtract 48 from 54 to find the change in the height:

54 - 48 = 6

Divide 6 by 48 to find the change in percent:

6 / 48 = 0.125 --> 12.5%

The probability is 0.97682

Step-by-step explanation:

We start by finding the z-values of the runner times given.

Mathematically;

z-score = (x-mean)/SD

From the question, mean = 13 seconds and SD = 0.3 seconds

So for 12.4 seconds, we have;

z = (12.4-13)/0.3 = -0.6/0.3 = -2

For 14 seconds, we have;

z = (14-13)/0.3= 1/0.3 = 3.33

So the probability we want to calculate is;

P(-2<z<3.33)

We can find this using the standard normal distribution table

Mathematically;

P(-2<z<3.33) = P(z<3.33) - P(z < -2)

Using the standard normal distribution table, the value of this is;

P(-2<z<3.33) = 0.97682