1/4” is the same as 2/8"
2 answers:
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Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Calculate P(at least one valve opens).
This is
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:
So
Finally
There is a 99.99998% probability that at least one valve opens.
Answer:
Options (A), (B) and (C)
Step-by-step explanation:
In the given figure,
Length of side AD = 16 units
If this side is scaled by a factor = k
Then the length of the corresponding side will be = 16k
If 0 < k < 1,
Then length of the corresponding side will be less than 16.
[Example: If k =
Therefore, scaled side of the corresponding side of the quadrilateral = = 4]
That means length of corresponding sides may be 4, 6.5 and 12.
Options (A), (B) and (C) will be the answer.