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Galina-37 [17]
3 years ago
15

Fran started practicing her clarinet at 3:30 pm and finished at 5:45 pm. how long did she practice?

Mathematics
2 answers:
masya89 [10]3 years ago
8 0

Answer:

2 hours and 15 minutes

Step-by-step explanation:

5:45-3:30 = 2:15

yulyashka [42]3 years ago
7 0

Answer:

2 hours and 15 minutes

Step-by-step explanation:

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Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children
Shkiper50 [21]

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A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

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.

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

In which

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The margin of error of the interval is given by:

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

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p = 0.69

99.5% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.9975, so Z = 2.81.

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

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

0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}

0.07\sqrt{n} = 1.2996

\sqrt{n} = \frac{1.2996}{0.07}

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(\sqrt{n})^{2} = (18.5658)^{2}

n = 345

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Answer:

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