Gavyn drives at a speed of 50 miles per hour.How long will it take to drive 225 miles?
1 answer:
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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%
Home is 0.6 miles away from the store
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:-
Total time taken by girl to complete the trip = 15 minutes = hours
Speed while riding going = 6 miles per hour
Speed while coming back = 4 miles per hour
Total time taken by girl =
Time taken while going + Time taken while coming back - (1)
Let x be distance from home to store
= Time taken while going
= Time taken while coming back
Substituting in (1) we get
x = 0.6 miles
Thus home is 0.6 miles away from the store
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