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nalin [4]
3 years ago
7

1/2 spoon of sugar for 2 cups , how many cups for 2/3 sugar of spoon? Explain

Mathematics
2 answers:
Korolek [52]3 years ago
8 0
If you have
1/2 sugar...........................................2 cups  and 
2/3 sugar.............................................?

this is a proportion, and we can write it as
#cups= <u>(2/3)*2  = (4/3)=  </u>(4/3)*(2/1)=8/3= 2  2/3 cups<u>
</u>                 1/2<u />        1/2<u>
</u>
scoundrel [369]3 years ago
6 0
1/2 spoon for 2 cups.
1 spoon for 4 cups. 
2/3 spoon for 8/3 cups.
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Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye
slega [8]

Answer:

A sample size of 1031 is required.

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

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

The margin of error is of:

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

37% of freshmen do not visit their counselors regularly.

This means that \pi = 0.37

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

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

0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}

\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2

n = 1030.4

Rounding up:

A sample size of 1031 is required.

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Answer:

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