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Lisa [10]
3 years ago
11

Marco's bought a bookcase that was 25% of the regular price. He also bought a package of pens for $3 He paid a total of $60 for

the bookcase and pens, not including tax. what was the regular price of the book case?
Mathematics
2 answers:
Mila [183]3 years ago
5 0
The regular price of the book case costed $14.25
olganol [36]3 years ago
3 0
The regular price of the bookcase would be $228, because 25% is one fourth and $60-3=57. 57x4=228.
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In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

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:

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For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

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.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

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Step-by-step explanation:

This shouldn't be in mathematics?

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Once again assistance is needed. Help!!!!
tatiyna

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