Which statement correctly describes the graph of y = x + 7?
1 answer:
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Answer:
And we can use the following z score:
And replacing we got using the normal standard distribution table or excel:
C.0.8413
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 records 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 we know that the distribution for the sample mean is given by:
We select a sample of size n=36, and we want to calculate this probability:
And we can use the following z score:
And replacing we got using the normal standard distribution table or excel:
C.0.8413
Answer: y=x³+2 or f⁻¹(x)=x³+2
Step-by-step explanation:
To find the inverse of the radical function, we replace y with x and x with y. Then, you solve for y.
[replace y with x and x with y]
[cube both sides to cancel out the cubed root]
[add both sides by 2]
Now that we have switched the variables and solved for y, we know that the inverse function is y=x³+2 or f⁻¹(x)=x³+2.