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2 years ago

the exterior angle of a regular polygon is one third the size of its interior angle. how many sides does the polygon have

Mathematics

1 answer:

Aloiza [94]2 years ago

7 0

Answer:

8 sides

Step-by-step explanation:

let x be the exterior angle then 3x is the interior angle

interior angle + exterior angle = 180° , then

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

the sum of the exterior angles of a polygon = 360°

since the polygon is regular with each exterior angle = 45°, then

number of sides = 360° ÷ 45° = 8

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An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n

kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 232 V

Sample mean, $\bar{x}$ = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 232\\H_A: \mu \neq 232$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971$

Since,

$|t_{stat}| > |t_{critical}|$

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

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3 years ago

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iVinArrow [24]

The answer is A
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3 years ago

Read 2 more answers

Help with this please

s2008m [1.1K]

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3 years ago

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mrs_skeptik [129]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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