Karla and Isamar are disagreeing over which way the graph of the function ????(x) = |x + 3| is translated relative to
1 answer:
Answer:
Isamar
Step-by-step explanation:
We are given that a function
is a translation of the graph
Karla believes that the graph of g is '' to the right '' of the graph of f.
Isamar believes that the graph of g is ''to the left'' of the graph f.
When we draw a graph then we can see that
The coordinates of vertex of f are (0,0).
The coordinates of vertex of g(x) are (-3,0).
When x shift 3 units towards left then we get g(x)
Therefore, Isamar is correct.
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Answer:
And using a calculator, excel or the normal standard table we have that:
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 scores 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 can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that: