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1 year ago

Which speaker would baron de montesquieu most likely agree with?

2 answers:

3 0

Speaker 1: The will of the people is what is best for society.
Speaker 2: People exchange some of their individual freedoms for protection by the government.
Speaker 3: Governments should be divided into branches that are separate but equal.
Speaker 4: Governments derive their powers from the consent of the people.

The Baron de Montesquieu would most likely agree with the Speaker 3, as it was Montesquieu who theorize first that a government should be divided into branches that are separated but equal (the three branches should be executive, legislative and judiciary), in order to avoid that one of the three could acquire more power than the other and as a form of control of democracy.

Butoxors [25]1 year ago

3 0

the answer is speaker 3

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Answer:

$z=1.28$

And if we solve for a we got

$a=58 +1.28*5=64.4$

So the value of height that separates the bottom 90% of data from the top 10% is 64.4.

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

$X \sim N(58,5)$

Where $\mu=58$ and $\sigma=5$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.10$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.90 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.28$

And if we solve for a we got

$a=58 +1.28*5=64.4$

So the value of height that separates the bottom 90% of data from the top 10% is 64.4.

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