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3 years ago

Find the area of a regular hexagon with an apothem 17.3 miles long and a side 20 miles long

1 answer:

4 0

The area of a hexagon is $\frac{3 \sqrt{3} }{2} a^{2}$ where a = one side

$\frac{3 \sqrt{3} }{2} 20^{2}$

$\frac{3*200 \sqrt{3} }{2}$

$\frac{600 \sqrt{3} }{2}$

$300 \sqrt{3}$ ≈ 1038 mi²

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natima [27]

This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.

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3 years ago

The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the

FinnZ [79.3K]

Answer:

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

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e) Null hypothesis accepted at 0.01 level of significance

f) we accepted null hypothesis.

Hence the proportion of defective item of computer has been lowered.

Step-by-step explanation:

Step(i):-

Given the sample size 'n' = 42

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

The defective computers 'x' = 4

The sample proportion of defective computers

$p = \frac{x}{n} = \frac{4}{42} = 0.095$

Given The Population proportion 'P' = 0.15

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Step(ii):-

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

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Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

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Calculate the value of the test statistic Z = - 0.9991

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The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Calculate the value of the test statistic Z = 0.991 < 2.57 at 0.01 level of significance.

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Hence the null hypothesis is accepted at 0.01 level of significance.

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