Let's focus on a single hour. Once you know the probability of a certain hour, all hour will have the same time schedule, and so the probability will be the same.
Since a hour is composed by 60 minutes, the 13 minutes of news compose the 13/60 of the given time. For the sake of completeness, news compose the 2/60 of the given time, and music the 45/60 of the given time.
Again, this is the way a single hour is scheduled. Since Lenny will choose a random time of the day, we will turn the radio on during a particular hour, which will be structured as we just described.
So, let's say that that Lenny will turn the radio on between 3 and 4 pm (these numbers are just for example purpose, since every hour will work in the same way). During this hour, the news are up 13/60 of the time.
So, this is the probability that the news will be on. The complete schema is the following:
Answer:
The measure of angle 6 is 60
Step-by-step explanation:
12.
Distribute the negative
2x - 5 - 9y + 8 + 16y
Simplify
2x + 7y + 3
13.
Square is 4 sides, all sides are equal
4 ( 4x + 3)
16x + 12
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