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Maurinko [17]
3 years ago
7

The average weekly income of teachers in one school district is $750 with a standard deviation of $85. Find the percentage of te

achers earing more than $825 a week?
Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
Point estimate (average) = $750
Standard deviation = $85
P(X>$825) = ?

Z = (X-mean)/Standard deviation = (825-750)/85 ≈ 0.88

From Z-table, P(X=825) = 0.8106

Therefore,
P(X>$825) = 1 - P(X=$825) = 1-0.8106 = 0.1894 = 18.94%

Percentage of teachers earning more than $825 is 18.94%.
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Answer:

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The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

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∵ The perimeter of the equilateral triangle = 3 × length of a side

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∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = \frac{1}{2} × base × height

∵ The length of the base of the triangle = 2 m

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∴ The area of the base = \frac{1}{2} × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

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∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

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