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timofeeve [1]
3 years ago
13

For each diagram, decide if y is an increase or a decrease of x. Then determine the percentage.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
Answer:
In A: y is a 25% decrease of x
In B: y is a 25% increase of x
Step-by-sep explanation:
For A:
The diagram in A shows that x = 4, while y = 3.
Thus, this means that y decreased by 1, relative to x.
The percentage decease would be:


Therefore, y is a 25% decrease of x.
For B:
The diagram for B shows that x = 4, while y = 5.
Thus, this means that y increased by 1, relative to x.
The percentage increase would be:


Therefore, y is a 25% increase of x.







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And we can find this probability using excel or the normal standard tabe and we got:

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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 temperatures of a population, and for this case we know the distribution for X is given by:

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We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

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