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Vsevolod [243]
3 years ago
11

A magazine article conducted a survey of 525 people in New York City and found that 30% of the population believe that the Yanke

es will miss the playoffs this year. In the accompanying dialogue, the article states, we are 92% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 25% and 35% . What does 30% represent in the article?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer:

In this case, the 30% represents the proportion of the sample. It is a statistic that can be used to estimate a parameter of the population.

Step-by-step explanation:

In this case, the 30% represents the proportion of this specific sample (survey taken by the magazine).

It is a statistic that can be used to estimate a parameter of the population. In this case, it may be used to estimate the true proportion of "people in New York who believe that the Yankees will miss the playoffs this year".

If a new sample is taken, a new statistic will be calculated that may or may not be equal to 30%.

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Question

Which expression is equivalent to \frac{4mn}{m^{-2}n^6}. Assuming m \neq 0; n\neq 0

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Step-by-step explanation:

Given

\frac{4mn}{m^{-2}n^6}

Required:

Simplify

To simplify this, we start by splitting each individual function

\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}

From laws of indices

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SO, the above expression can also be expressed the same way

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}

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Hence, \frac{4mn}{m^{-2}n^6} is equivalent to \frac{4m^3}{n^5}

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