Answer:
a) 0.0002
b) 0.0057
c) 0.0364
Step-by-step explanation:
Lets start by stating the probabilities of a person belonging to each policy:
Standard: 0.3
Preferred: 0.5
Ultra- Preferred: 0.2
The probability of person belonging to each policy AND dying in the next year:
Standard: 0.3 x 0.015 = 0.0045
Preferred: 0.5 x 0.002 = 0.001
Ultra- Preferred: 0.2 x 0.001 = 0.0002
a) The probability a ultra - preferred policy holder dies in the next year is 0.001. To find the probability of a person being both a ultra - preferred policy holder AND die in the next year is: 0.001 x 0.2= 0.0002
b) The probability is given by adding the probabilities calculated before :
0.0045 + 0.001 + 0.0002 = 0.0057
c) We use the results above again. This is 0.0002 / (0.001 + 0.0045). The answer comes out to be 0.0364
Given:


To find:
The exact value of cos(u-v) if both angles are in quadrant 3.
Solution:
In 3rd quadrant, cos and sin both trigonometric ratios are negative.
We have,


Now,




On further simplification, we get


Similarly,






Now,




Therefore, the value of cos (u-v) is 0.1872.
Answer:
2k³ is the GCF.
Step-by-step explanation:
GCF of 
Finding the factors:
=10k³[Factoring 10k³]
=2×5×k×k×k
=6k³[Factoring 6k³]
=2×3×k×k×k
Common factors in 10k³ and 6k³.
=2×k³
=2k³
answer would be the second one: Rectangle that is not a square
Answer:I need this one too im
Nervous
Step-by-step explanation: