The complete question is;
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.
The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067
Answer:
1) P(all 5 file no claim after 5 years) = 0.132
2) P(exactly 3 file claim after 5 years) = 0.033
Step-by-step explanation:
1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.
Thus, for all 5 of them,
The probability will be;
P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132
2) since probability of each not filing a claim for last 5 years = 2/3
Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3
So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.
The closest answer is 0.033.
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:

Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:

The perimeter is given by:

I hope it helps you!
Answer:
BF = 18
Step-by-step explanation:
In triangle BCD, H is the Centroid.
Centroid of a triangle divides the median in the ratio 2 : 1.
Therefore, BH : HF = 2 : 1
Let BH = 2x & HF = x
Since, HF = 6.... (given)
So, x = 6
2x = 2*6 = 12
BH = 12
Now,
BF = BH + HF = 12 + 6
BF = 18
Answer:
(0,-10)
Step-by-step explanation:
not to sure if this is what your asking for, sorry