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2 years ago

Dina is shipping a wall map to a collector. When the map is rolled up, it measures

Mathematics

1 answer:

GREYUIT [131]2 years ago

5 0

The shortest height of the box that will hold the map is 6 ft option (C) is correct.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Dina is shipping a wall map to a collector. When the map is rolled up, it measures.

From the figure we can apply the Pythagoras theorem to find the length BA:

BA² = 3² + 3²

BA = √18

Again applying Pythagoras theorem:

The height

AD² = 7² - (√18)²

AD² = 31

AD = √31 ft = 5.56 ft ≈ 6 ft

Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.

Learn more about Pythagoras theorem here:

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3/8 +1/5 equals what it is on my homework and I'm struggling

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3 years ago

A sales and marketing management magazine conducted a survey on salespeople cheating on their

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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 $n = 200, \pi = 0.58$

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 $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 - 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.5116$

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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3 years ago

Quadrilateral ABCD is dilated by a scale factor of 1 over 3 centered around (1, 2).

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Answer:

B'D' ║ BD and will be shorter than segment BD.

Step-by-step explanation:

A scale factor of 1/3 means all image segments are 1/3 the length of the preimage segments (that is, <em>shorter</em>).

Image segments not on a line through point A(1, 2) will be parallel to the preimage segments.

For this dilation, ...

segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.

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3 years ago