6. A stoplight at an intersection stays red for 60 second, changes to green for 45 seconds, and then turns yellow for 15 seconds. If Jamal arrives at the

intersection at a random time, what is the probability that he will have to wait at

a red light for more than 15 seconds?

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Step-by-step explanation:

At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.

Uniform probability distribution:

Has two bounds, a and b. The probability of finding a value higher than x is given by:

Red for 60 seconds

So when Jamal arrives it can change in any number of seconds between 0 and 60, that is,

Probability that he will have to wait at a red light for more than 15 seconds?

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

step-by-step explanation:

se a cavasery6

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.