Seventy percent of the light aircraft that disappear while in flight in a certain countryare subsequently discovered. Of the aircraft that are discovered,60%have an emer-gency locator, whereas90%of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.(a)[5 pts]If it has an emergency locator, what is the probability that it will not bediscovered

Step-by-step explanation: If we denote the percentage of light aircraft subsequently discovered, and the percentage of which is 70, by the mark P(discovered) = 0.7. Further, if the percentage of those light aircraft that are discovered and have a locator is 60, that is, P(discovered / locator) = 0.6, then the percentage of light aircraft that are not discovered will be P(discovered ' ) = 1 - 0.7 = 0.3. As is the percentage of undiscovered aircraft that do not have a locator P(discovered ' / locator ') = 0.9.

What we need to do is determine the probability that the missing aircraft will not be found and has a locator. So, P(discovered ' / locator) = ?

We will do this as follows. First of all the total percentage of aircraft discovered and having a locator is 0.7 x 0.6 = 0.42. Further, the total percentage of aircraft not discovered and lacking a locator is 0.9 x 0.3 = 0.27. Then the total percentage of aircraft discovered and lacking a locator will be 0.7 - 0.42 = 0.28. Like the total percentage of aircraft not discovered that have a locator is 0.3 - 0.27 = 0.03.

To make all this more obvious, we will show in the table

                                 Locator                     Locator '

Discovered          0.42 = 0.7 x 0.6              0.28                             0.70

Discovered '               0.03                  0.27 = 0.9 x 0.3                   0.30

                                   0.45                           0.55                             1.00

Then what we're looking for is the probability that the aircraft will not be discovered and has a locator will be:

P = (discovered ' / locator) = P (discovered ' / locator) / P (locator), that is

P = (discovered ' / locator) = 0.03 / 0.45 = 0.06667

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

you can not drow on this

step-by-step explanation: