Answer:
So then we will have at least 75% of the data within two deviations from the mean .
So then the interval would be (97.14, 99.5)
Explanation:
Previous concepts
Chebyshev’s rule is appropriate for any distribution. "Chebyshev’s inequality applies to all distributions, regardless of shape". And is useful since provides a "minimum percentage of the observations that lies within k standard deviations of the mean. "
If k = 2, at least 3/4 of the measurements lie within 2 standard deviations to within the mean.
And the general formula is (1-1/k^2) represent the fraction of the data within the mean .
Solution to the problem
For this case we want to find the percentage of data that would be at least within two deviations from the mean so for this case the value of k =2 and if we replace we got:
So then we will have at least 75% of the data within two deviations from the mean .
For the other part we have the mean and deviation provided the interval would be:
So then the interval would be (97.14, 99.5)
Answer:
Vertical motion is the movement of an object in a straight line.
When an object is thrown up, it always comes down, as it is affected by the acceleration due to gravity. This is called as vertical velocity.
The new acceleration is
Explanation:
We can answer this problem by applying Newton's second law, which states that:
where
F is the net force on an object
m is the mass of the object
a is its acceleration
The equation can be rewritten as
In this problem, the initial acceleration is
Later:
- The net force is tripled:
- The mass is halved:
Therefore, the new acceleration is:
which means that the new acceleration is 6 times the original acceleration, therefore
Learn more about acceleration:
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