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3 years ago

What is the quotient of 237.6 and 33.

Mathematics

2 answers:

Rashid [163]3 years ago

6 0

Answer:

The quotient is 7.2.

Step-by-step explanation:

$\frac{237.6}{33} \\ = \frac{237.6 \times 10}{33 \times 10} \\ = \frac{2376}{330} \\ = \frac{2376 \div 33}{330 \div 33} \\ = \frac{72}{10} \\ = 7.2$

andrezito [222]3 years ago

5 0

7.2 would be the quotient, because 237.6 divided by 33 is 7.2 .

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sleet_krkn [62]

Answer:

A sample size of 6755 or higher would be appropriate.

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.

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

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z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error M is given by:

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

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This means that $p = 0.52$

If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?

Sample size of size n or higher when $M = 0.01$ . So

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

$0.01 = 1.645\sqrt{\frac{0.52*0.48}{n}}$

$0.01\sqrt{n} = 0.8218$

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$\sqrt{n} = 82.18$

$\sqrt{n}^{2} = (82.18)^{2}$

$n = 6754.2$

A sample size of 6755 or higher would be appropriate.

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3 years ago