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abruzzese [7]
3 years ago
5

Box D and Box E are made from unit cubes of the same size.

Mathematics
1 answer:
Dominik [7]3 years ago
8 0

Answer:

Box E has a greater volume than Box D.

Step-by-step explanation:

Step 1 : Find the volume of Box D.

The formula for volume of a rectangular prism such as this is

height * width * depth

Knowing this, let's substitute the values.

3 * 5 * 1 = 15

The volume of box d is 15 cubic units.

Step 2 : Find the volume of Box E.

height * width * depth

4 * 4 * 1 = 16

The volume of box e is 16 cubic units. Therefore box E has a greater volume than box D.

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Answer:

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

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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This means that n = 200, \pi = 0.58

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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.

The lower limit of this interval is:

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 + 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.6484

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

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