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3 years ago

Given g(x) = 2x + 3, find g(-3)

Mathematics

2 answers:

elixir [45]3 years ago

4 0

-3 is the value of g(-3)

Diano4ka-milaya [45]3 years ago

3 0

Answer:

g( -3)= -3

Step-by-step explanation:

g(-3)=2(-3)+3 g= -3

g(-3)= -6+3

g(-3)= -3

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Answer:

a. $P(E_1/A)=0.0789$

b. $P(E_2/A)=0.395$ \

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Step-by-step explanation:

Let $E_1,E_2,E_3$ are the events that denotes the good drive, medium drive and poor risk driver.

$P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20$

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$P(A/E_1)=0.01$

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$P(A/E_3)=0.10$

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a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem, $P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}$

We have to find $P(E_1/A)$

Using the Bayes theorem

$P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}$

Substitute the values then we get

$P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}$

$P(E_1/A)=0.0789$

b.We have to find the probability Mr.Brophy is a medium driver

$P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395$

c.We have to find the probability Mr.Brophy is a poor driver

$P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526$

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