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Ronch [10]
3 years ago
6

Please help me out! :)

Mathematics
1 answer:
skad [1K]3 years ago
8 0
3x-11=x+23
-x -x
2x-11=23
+11 +11
2x=34
x=17

3(17)-11 17+23
=40 =40

explanation ;
you would equal them because they are congruent . & you substitute x for 17 in each equation to find out the degrees of both of the angles :)

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An automobile insurance company divides customers into three categories, good risks, medium risks, and poor risks. Assume taht 7
scoray [572]

Answer:

a) the probability is P(G∩C) =0.0035 (0.35%)

b) the probability is P(C) =0.008 (0.8%)

c) the probability is P(G/C) = 0.4375 (43.75%)

Step-by-step explanation:

defining the event G= the customer is a good risk  , C= the customer fills a claim then using the theorem of Bayes for conditional probability

a) P(G∩C) = P(G)*P(C/G)

where

P(G∩C) = probability that the customer is a good risk and has filed a claim

P(C/G) = probability to fill a claim given that the customer is a good risk

replacing values

P(G∩C) = P(G)*P(C/G) = 0.70 * 0.005 = 0.0035 (0.35%)

b) for P(C)

P(C) = probability that the customer is a good risk *  probability to fill a claim given that the customer is a good risk + probability that the customer is a medium risk *  probability to fill a claim given that the customer is a medium risk +probability that the customer is a low risk *  probability to fill a claim given that the customer is a low risk =  0.70 * 0.005 + 0.2* 0.01 + 0.1 * 0.025

= 0.008 (0.8%)

therefore

P(C) =0.008 (0.8%)

c) using the theorem of Bayes:

P(G/C) =  P(G∩C) / P(C)

P(C/G) = probability that the customer is a good risk given that the customer has filled a claim

replacing values

P(G/C) =  P(G∩C) / P(C) = 0.0035 /0.008 = 0.4375 (43.75%)

3 0
3 years ago
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