Answer:
a). 0.294
b) 0.11
Step-by-step explanation:
From the given information:
the probability of the low risk = 0.60
the probability of the high risk = 0.40
let
represent no claim
let
represent 1 claim
let
represent 2 claim :
For low risk;
so,
= (0.80 * 0.60 = 0.48),
= (0.15* 0.60=0.09),
= (0.05 * 0.60=0.03)
For high risk:
= (0.50 * 0.40 = 0.2),
= (0.30 * 0.40 = 0.12) ,
= ( 0.20 * 0.40 = 0.08)
Therefore:
a), the probability that a randomly selected policyholder is high-risk and filed no claims can be computed as:




b) What is the probability that a randomly selected policyholder filed two claims?
the probability that a randomly selected policyholder be filled with two claims = 0.03 + 0.08
= 0.11
Answer:

Step-by-step explanation:
The area of the square is 36.
A = s^2
36 = s^2
s = sqrt(36)
s = 6
The side of the square has length 6.
All sides of a square are congruent, so all sides have length 6.
If you extend segment JO to point L, you end up with segment JL which is a diameter of the circle and the diagonal of the square. We can use the Pythagorean theorem using two sides if the square as legs and the diagonal of the square as the hypotenuse of a right triangle.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72




c is the diameter.
r is the radius, so it is half of the diameter.
c = d
r = d/2

Answer:
x = 6
Step-by-step explanation:
Using this theorem to get the other angles of the triangle.
Angle at the vertex is equal to half of the angle at the intercepted arc
For the arc with angle 170degrees
Angle at the vertex = 1/2 * 170
Angle at the vertex = 85 degrees
For the arc with angle 90degrees
Angle at the vertex = 1/2 * 90
Angle at the vertex = 45 degrees
Taking the sum of the 3 angles and equating to 180
85 + 45 + 12x - 22 = 180
130-22+12x = 180
12x = 180 - 108
12x = 72
x = 72/12
x = 6
Hence the value of x is 6
idk
but here is the alphebet
abcdefghijklmnopqrstuvwxy
and
z
Answer:
The pair which are inverse of each other are:
Option: C

Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
and 
Now we calculate fog(x):

Hence, option: A is incorrect.
B)

Now we calculate fog(x):

Hence, option: B is incorrect.
D)
![f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3](https://tex.z-dn.net/?f=f%28x%29%3D9%2B%5Csqrt%5B3%5D%7Bx%7D%5C%20and%5C%20g%28x%29%3D9-x%5E3)
Now we calculate fog(x):

![fog(x)=9+\sqrt[3]{9-x^3}\neq x](https://tex.z-dn.net/?f=fog%28x%29%3D9%2B%5Csqrt%5B3%5D%7B9-x%5E3%7D%5Cneq%20x)
Hence, option: D is incorrect.
C)

Now we calculate fog(x):


Similarly,

Hence, option: C is the correct option.