On her way to work, Mrs. Larsen gets a green light at a certain traffic light only 30% of the time. She wants to find the probab
ility that she will get a green light at this traffic light all five mornings that she travels to work next week. Use the following randomly generated list of 200 five-digit numbers to answer the questions and find the probability.
Select the digits you will use to represent a favorable outcome.
How many favorable outcomes are on this list? What are they?
Given this simulation, what is the probability that Mrs. Larsen will get a green light at this traffic light all five mornings next week?
Select the digits you will use to represent a favorable outcome.
How many favorable outcomes are on this list? What are they?
Given this simulation, what is the probability that Mrs. Larsen will get a green light at this traffic light all five mornings next week?
1 answer:
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Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:
Which can be rewritten using the general formula:
This means that
By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:
So, the distance travelled on the 7th day is 19.9 miles.