Geri ran in a marathon race. It took her 3 hours and 28 minutes to run 26 miles. How many minutes did it take her to run 1 mile
if she ran at the same rate for the whole race?
2 answers:
Answer:
8 minutes per mile
Step-by-step explanation:
Geri ran in a marathon race.
It took her 3 hours and 28 minutes to run 26 miles.
1 hour = 60 minutes
we will convert the time into minutes
3 hour 28 minutes = (3 × 60) + 28
= 180 + 28
= 208 minutes
∵ Geri ran 26 miles in 208 minutes
∴ She ran 1 miles =
= 8 minute
Geri ran 1 mile in 8 minute.
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Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is
Thus, the probability that at least one of the systems detect the theft is
That means a 99.93%
<u>Given</u>:
Four lines are marked proportion, the length of TW can be determined by
<u>Value of a:</u>
Let us set the proportion for the given lines.
Thus, we have;
Thus, the value of a is 5.6
<u>Value of b:</u>
Let us set the proportion for the given lines.
Thus, we have;
Thus, the value of b is 5.
<u>Length of TW:</u>
The length of TW is given by
Thus, the length of TW is 13.6
