Given:
Area of a circle, A=50.265 sq. units.
Radius of circle, r = 4 units.
To find:
The value of π to the nearest thousandth.
Solution:
Formula for area of a circle is



Now, using
expression, we can find the value of π.




Approximate the value to the nearest thousandth (three digits after decimal).

Therefore, the approximated value of π is 3.142.
We can solve for the surface area of the triangular prism using the formula below:
SA=bh + (s1+s2+s3) H
where b for the base, h and H for the height while s1, s2 and s3 for the length of the sides of the equilateral triangles.
Solution is shown below:
SA=10*9+(10*10*10) *18
SA=90+(1000*18)
SA=1,620,000 u²
Answer:
Standard deviation of the binomial distribution
= 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given size 'n' = 800
The population proportion 'p'=0.6
Let 'X' be the random variable of the binomial distribution
a) mean of the binomial distribution = n p = 800 ×0.6
μ = 480
b) variance of the binomial distribution
= n p q
= 800 X 0.6 ×0.4
σ² = 192
Standard deviation of the binomial distribution
σ = 