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4 years ago

Tell whether the graph represents direct variation

Mathematics

1 answer:

boyakko [2]4 years ago

5 0

Step-by-step explanation: If a function has a y-intercept of 0, then it is an example of direct variation. Therefore, the line shown here is an example of direct variation because the y-intercept is 0.

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ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th

Misha Larkins [42]

Answer:

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

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

c. $P(E_3/A)=0.526$

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.

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

Let A be the event that denotes an accident.

$P(A/E_1)=0.01$

$P(A/E_2=0.03$

$P(A/E_3)=0.10$

The company sells Mr. Brophyan insurance policy and he has an accident.

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

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

7 0

4 years ago

Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

Inessa [10]

Answer:

1/3 ig

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Find f(2) for the following functions: f(x) = x - 14

BaLLatris [955]

Answer:

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

Hope this helps you

6 0

4 years ago

Read 2 more answers

Pls help fast need ASAP

barxatty [35]

Answer: tan62 = 10/x

Step-by-step explanation: Let me know if you need an explanation.

3 0

3 years ago

25 pints= gallons? pints?

Murljashka [212]

Answer:

3.125 gallons

Step-by-step explanation:

25 pints could be converted to about roughly 3.125 gallons.

4 0

4 years ago