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zhuklara [117]
3 years ago
10

If 10 miles is about 16 kilometers and the distance between two towns is 45 miles,use a ratio table to find the distance between

the towns in kilometers. Explain your reasoning.
Mathematics
1 answer:
erastovalidia [21]3 years ago
7 0
First, you want to find out how many kilometers are in one mile. So you take the information you are given and divide 16 km by 10 and you get 1.6 km/1mi. Now, you know that the distance between the two towns is 45 miles, so simply multiply 1.6 by 45 to get 67.5 km in 45 mi. 
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Hello!

There are three different sources of error when a computer system fails:

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M: computer memory error. ⇒P(M)= 0.20

O: operating systems error. ⇒ P(O)= 0.30

According to the component perdormance standard:

The probability of failure "E", given that there is a disk drive error is P(E/D)= 0.40

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You need to calculate the probability of an operating system error given that a failure has ocurred, symbolically:

P(O/E)

P(O/E)= \frac{P(OnE)}{P(E)}

To reach the probability of the marginal E you have to add all intersections between the event "E" and the events "D", "M" and "O"

       D           M             O       Total

E:  P(E∩D); P(E∩M); P(E∩O);  P(E)

Using the formula of the conditional probability I'll clear all three intersections using the known probabilities:

General formula: P(A/B)= \frac{P(AnB)}{P(B)} ⇒ P(AnB)= P(A/B)*P(B)

P(E∩D)= P(E/D)*P(D)= 0.4*0.5= 0.2

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P(E)= P(E∩D) + P(E∩M) + P(E∩O)= 0.2+0.12+0.075= 0.395

P(O/E)= \frac{P(OnE)}{P(E)} = \frac{0.075}{0.395}= 0.189 = 0.19

I hope it helps!

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