Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
We want to solve

Subtract 5 from each side.

Divide each side by 3.

Take natural logs of each side.

Divide each side by 2.
x = 0.9962
Answer: x = 0.996 (nearest thousanth)
Answer:
$18
Step-by-step explanation:
15*.2=3
15+3=18
The haircut is $18 with tip included.