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liq [111]
3 years ago
9

George and Javier each want to buy a bicycle.  George has already saved $35 and plans to save $10 per week.  Javier has $26 and

plans to save $13 per week.
a)  Write a system of equations to represent the total amount saved (y) after (x) weeks.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

y=35 + 10x

y= 26+ 13x

Step-by-step explanation:


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Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

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It is said that Actuary Rahul examines a low risk policy

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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 =  0.9^{n-1} (0.1)

Probability that Toby examines more than n policies = 0.8^n

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 0.9^{n-1} (0.1) (0.8)^n

probability that both events happen simultaneously = \frac{0.1}{0.9} (0.72^{n})

The probability that Actuary Rahul examines fewer policies that Actuary Toby = \sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} } = \frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

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