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kolbaska11 [484]
3 years ago
14

The force F between two charges Q1 and Q2 in a vacuum is proportional to the product of the charges and is inversely proportiona

l to the square of the distance between two charges
Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

<h3>The given statement "The force F between two charges Q_1 and Q_2 in a vacuum is proportional to the product of the charges and is inversely proportional to the square of the distance between two charges" is a <u>Coulomb's law.</u></h3>

Step-by-step explanation:

Given that "The force F between two charges Q_1 and Q_2 in a vacuum is proportional to the product of the charges and is inversely proportional to the square of the distance between two charges"

<h3>The given statement is a <u>Coulomb's law.</u></h3>

Coulomb's law states that the magnitude of the electrostatic force F of attraction or repulsion between the two point charges Q_1 and Q_2 is directly proportional to the product of the magnitudes of charges Q_1 and Q_2  and it is inversely proportional to the square of the distance between the two charges.

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Answer:

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Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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The margin of error is of:

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In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

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95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}

E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}

\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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