Paolo has plans to meet his friend for lunch at noon. the trip will take him 12 minutes by bus, and buses run every 5 minutes. if he gets to the bus stop at 11: 45, what is the probability that he will arrive on time to meet his friend?

It is given that Paolo reaches the bus stand at 11: 45.

Now, Paolo has to get a bus by 11: 48 because it take takes 12 minutes to reach his friend which he has to reach by noon to be on time

We know that a bus comes every 5 minutes. So the probability of Paolo getting onto a bus in 5 minutes is 1.

Therefore, the probability of Paolo getting a bus from 11: 45 to 11: 48 is 60%.

This is because if probability of getting a bus in 5 minutes is 1 then, by using the unitary method, the probability of getting a bus in 3 minutes can be calculated as:

or equivalently, 60%.

Thus, 60% is the correct answer.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.