Answer:
The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857
Step-by-step explanation:
It is said that Actuary Rahul examines a low risk policy
Probability of a low risk policy having a claim = 10% = 0.1
Actuary Toby examines high risk policy
Probability of a high risk policy having a claim = 20% = 0.2
Let the number of policies examined by actuary Rahul before he finds a claim and stop be n
Probability that actuary Rahul examines exactly n policies = 
Probability that Toby examines more than n policies = 
Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 
probability that both events happen simultaneously = 
The probability that Actuary Rahul examines fewer policies that Actuary Toby =
= 
The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857
Use the distance formula: d² = (x₂ - x₁)² + (y₂ - y₁)²
d² = 50² + 80²
= 2500 + 6400
= 8900
d = √8900
= 94.3
Answer: 94.3 km
Base on the triangle below or in your problem, to calculate the x in the triangle having one angle measure 53 degree and the side measures 35 and the value of x is equals to 112.79. I hope you are satisfied with my answer and feel free to ask for more if you clarifications and further questions