On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is sel
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The center is (-1, -2) and the radius of the circle is 5.
<h3>What is the equation of a circle?</h3>The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.
A circle can be represented as;
Where; h and k are the center of the circle r is the radius of the circle.
The given equation of the circle is;
Comparing both the equations;
Hence, the center is (-1, -2) and the radius of the circle is 5.
Learn more about circle here;
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Answer:
And we can find this probability with this difference:
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 amount of cofee shops of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference: