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dmitriy555 [2]
3 years ago
9

There is a traffic light at the intersection of Main Street and Durham Avenue. The traffic light on Main Street follows a cycle.

It is green for 30 seconds, yellow for 5 seconds, and red for 25 seconds. As you travel along Main and approach the intersection, what is the probability that the first color you see is green?
Mathematics
1 answer:
givi [52]3 years ago
6 0
Probability is defined as the number of desired outcomes over all possible outcomes. Lets say each second is one possible outcome. This means there is 30 different desired outcomes out of 60 possible outcomes. The probability therefore is 30/60, simplified to 1/2.
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Answer:

{36, 66, 78}

Step-by-step explanation:

Let the measures of the three angles be f, s and t, for first, second and third.  Then s + t = 4f, t = 12 + s, and f + s + t = 180.

Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.

Subbing the same in the third equation, we get f + s + 12 + s = 180

This results in two equations in two unknowns (f and s):

2s - 4f = -12

2s  + f  = 168.

Let's eliminate s by subtracting the first of these two equations from the second.  Doing so yields 5f = 180.  Then the first angle, f, or x, is 36.

Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132.  Thus, the second angle is s = y = 66.

The sum of the three angles must be 180.  Thus, 36 + 66 + t = 180, or

102 + t = 180, or t = z = 78.

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