Use a sketch graph to obtain the solution set of x²-4x>0
1 answer:
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Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
Answer:
Volume is increased in a factor of 8. The volume is increased from to
.
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
Where:
- Width
- Height
- Length
If dimensions are doubled, then volume is increased in a factor of 8:
The volume is increased from to
.