Solve each please and tell me which have an equivalent expression
1 answer:
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Answer:
3 Blue Umbrellas
Step-by-step explanation:
Given
From the question, we have:
---- i.e. 6 are not blue
---- i.e. 6 are not yellow
---- i.e. 6 are not red
Required
The number of blue umbrellas
Make B the subject in:
Substitute: in
Collect like terms
Rewrite:
Substitute in
Divide both sides by 2
Recall that:
Answer:
So we have at least 88.89% of the noise level values within 3 deviation from the mean.
Step-by-step explanation:
For this case let define the random variable X as the noise level, we know the following properties for X:
And for this case we don't know the distribution for the random variable X.
But we can use the Chebysev theorem who states that the minimum percentage of the data that lies within k standard deviations from the mean is given by:
So for this case we have that k = 3 and if we use this theorem we have:
And we can convert this into % and we got:
So we have at least 88.89% of the noise level values within 3 deviation from the mean.