14. Are the two triangles similar?
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%
Answer:
True
Step-by-step explanation:
First, we need to recognize that
Now, we can try to solve
Multiply each side by
As we end up with an answer that cannot be true, we know that there is no solution.
Another method to solve this would be graphing the function
When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.