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SOVA2 [1]
2 years ago
14

Three museums charge an entrance fee based on the number of visitors in the group. the table lists the fees charged by the museu

ms. at which museum is the entrance fee proportional to the number of visitors?
Mathematics
1 answer:
kondaur [170]2 years ago
7 0

The entrance fee at museum C is modeled by a proportional relationship with the number of visitors.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, the prices for three museums are given, but only one of them has a constant rate of which, which is Museum C, as:

k = 4/3 = 16/12 = 24/18 = 1.33.

Hence the relation for the entrance fee is:

y = 1.33x.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

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Answer:

Option D.

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we know that

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In this problem

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A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n=918 and x=521 who said​ "
s2008m [1.1K]

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

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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.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In the​ poll, n=918 and x=521 who said​ "yes."

This means that n = 918, \pi = \frac{521}{918} = 0.5675

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

B) Identify the value of the margin of error E.

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C) construct the confidence interval.

\pi \pm M

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