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kykrilka [37]
3 years ago
11

Find the percent decrease from 130 to 107. Round your answer to the nearest tenth.

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:17.7

Step-by-step explanation:=(107−130)|130|×100

=

(107-130)/|130×100=−23130×100=−23130×100=−0.176923×100=− 0.176923 ×100

=−17.6923%change

= −17.6923% change

=17.6923%decrease

round to the nearest tenth= 17.7

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Answer:

a

  P(a | e') =  0.22

  P(b | e') =  0.28

  P(c | e') =  0.33

b

  P(a | e' , d' , b') = 0.57

Step-by-step explanation:

From the question we are told that

   The probabilities are

Supplier  chosen            A                     B                    C            

Probability                P(a) = 0.20       P(b) =  0.25   P(c) =  0.15      

                                       D                      E

                                P(d) =  0.30     P(e) = 0.10

Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

P(a | e') =  \frac{P (a \  and \  e')}{P(e')}

      P(a | e') =  \frac{P (a)}{P(e')}

     P(a | e') =  \frac{P (a)}{1- P(e)}

=>   P(a | e') =  \frac{ 0.20}{1- 0.10}

=>   P(a | e') =  0.22

Generally the new probability of companies B  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

P(b | e') =  \frac{P (b \  and \  e')}{P(e')}

      P(b | e') =  \frac{P (b)}{P(e')}

     P(b | e') =  \frac{P (b)}{1- P(e)}

=>   P(b | e') =  \frac{ 0.25}{1- 0.10}

=>   P(b | e') =  0.28

Generally the new probability of companies C  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

P(c | e') =  \frac{P (c \  and \  e')}{P(e')}

      P(c | e') =  \frac{P (c)}{P(e')}

     P(c | e') =  \frac{P (c)}{1- P(e)}

=>   P(c | e') =  \frac{ 0.15}{1- 0.10}

=>   P(c | e') =  0.17

Generally the new probability of companies D  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

P(d | e') =  \frac{P (d \  and \  e')}{P(e')}

      P(d | e') =  \frac{P (d)}{P(e')}

     P(d | e') =  \frac{P (d)}{1- P(e)}

=>   P(d | e') =  \frac{ 0.30}{1- 0.10}

=>   P(c | e') =  0.33

Generally the probability that  B, D , E  are not chosen this year is mathematically represented as

      P(N) =  1 - [P(e) +P(b) + P(d) ]

=>       P(N) =  1 - [0.10 +0.25  +0.30 ]

=>       P(N) =  0.35

Generally the probability that A is chosen given that E , D , B  are rejected this year is mathematically represented  as

      P(a | e' , d' , b') =  \frac{P(a)}{P(N)}

=>     P(a | e' , d' , b') =  \frac{0.20 }{0.35 }    

=>     P(a | e' , d' , b') = 0.57

5 0
3 years ago
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