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dem82 [27]
2 years ago
8

A road sign has the shape of an equilateral triangle with a side length of 48 inches. What is the height of the sign? The road s

ign is about 38.2 inches tall The road sign is about 38.2 inches tall The road sign is about 23.5 inches tall The road sign is about 23.5 inches tall The road sign is about 41.6 inches tall The road sign is about 41.6 inches tall The road sign is about 43.7 inches tall
Mathematics
1 answer:
Ivenika [448]2 years ago
5 0

The height of the equilateral triangle is 41. 6 inches. Option C

<h3>How to determine the height</h3>

The formula for finding the height of an equilateral triangle is given as;

h = (a√3)/2

we have a = 48 inches

Let's substitute the value

Height, h = \frac{48\sqrt{3} }{2}

Height = \frac{48 * 1. 732}{2}

Height = \frac{83. 14}{2}

Height = 41. 6 Inches

Thus, the height of the equilateral triangle is 41. 6 inches. Option C

Learn more about equilateral triangles here:

brainly.com/question/1399707

#SPJ1

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b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

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I hope this helps!

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