Step-by-step explanation:
Radius of the circle is 20mm.
Use the formula for the area of the circle.
A = r^2 * π
A = 20^2 * π
A = 1256.64 mm^2 (2 d.p.)
There are 36 combinations, 5 combinations equal 8
(2,6) (3,5) (4,4) (5,3) (6,2) all equal 8
The chance of rolling 8 is 5/36 (combinations that equal 8/total combinations)
5/36=.13888...
Answer:
Option B) His teachings became government philosophy.
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:

Where

is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:

The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income: