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luda_lava [24]
3 years ago
9

There is a traffic light at the intersection of Walnut Street and Lawrence Avenue. The traffic light on Walnut Street follows a

cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds. As you travel along Walnut and approach the intersection, what is the probability that the first color you see is red?
1/5

1/3

3/5

1/2
Mathematics
1 answer:
Natalija [7]3 years ago
6 0
From the given above, we calculate for the total cycle time by adding up all the durations given for the yellow light, red light, and green. That is,
    total time = 30 s + 10 s + 50 s = 90s
Hence, the total time is equal to 90 s. From this, we calculate for the probability that the first light that will be seen is a red light by dividing the duration of the red light in the cycle by the total time. 
 Probability = (30 seconds) / (90 seconds) 
                   = 1/3

Therefore, the probability that the red light will be seen first is equal to 1/3. The answer is second choice. 
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Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

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  • If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
  • If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
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So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127  ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

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