Answer:
For A: 2.208
For B: 2.9024
Step-by-step explanation:
To solve we will do the following:
For A:
no insured(x) claims(y) xy Var=total/(y-1)
2 1 2 0.08
2 1 2 0.08
1 0 0 0.64
Weighted average 0.8 0.16
a var - X -0.64
k mean/a -1.25
Z (credibility) 1/(1+k) 0.444
no of claims for next year (y=4)
= 0.44*4 + 0.56*0.8
= 2.208
For B:
no insured(x) claims(y) xy Var=total/(y-1)
0 0 0 0
3 6 12 12
2 3 6 2
Weighted average 2.4 3.5
a var - X 1.1
k mean/a 2.18
Z (credibility) 1/(1+k) 0.314
no of claims for next year (y=4)
0.314*4 + 0.686*2.4
= 2.9024
In <span>equilateral triangle all sides are equal =x,
from right triangle that is formed by </span>apothem , height 7*3= 21
hypotenuse /opposite leg = sin angle,
hypotenuse is a side of triangle =x, opposite leg is apotheme =21,
angle in equilateral triangle =60⁰
21/x= sin 60, x*sin60=21, x=21/sin60, x=21/(√3/2), x=42/√3
Area of triangle =1/2 x*x*sin angle
Area of triangle =1/2 *42/√3*42/√3*sin 60=1/2*(42²/3)*(√3/2) ≈ 255 cm²
this is just second way to do this problem, that I did at first (either way is correct)
<span> apothem divides one side by half,
so we get small right triangle with sides x hypotenuse, x/2 is one leg , and 21 is another leg
</span>by Pythagorean theorem
x²=(x/2)² +21²
x²-x²/4=441
3x²/4=441
3x²=441*4=1764
x²=1764/3
x=42/√3
Area of triangle =1/2*base *height =1/2*42/√3 *21≈255 cm²
5.25 miles
3/4 x 7 = 21/4
21 / 4 = 5.25 miles
The value of 3 is thousandth
a = 46c....for c
a/46 = c
322 = 46c
322/46 = c
7 = c.....7 circuits are required