Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is

This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:




The maximum value is 3
The function turns downward, hence the range is:

Answer:
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Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
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Answer:

Step-by-step explanation:
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".
The population proportion have the following distribution
And we can solve the problem using the z score on this case given by:

We are interested on this probability:

And we can use the z score formula, and we got this:


And we can find this probability like this:

You substitute the y from the second eqaution to the y in the first equation