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2 years ago

Find x in the diagram below.

Mathematics

2 answers:

Pavel [41]2 years ago

6 0

Answer:

x=110

Step-by-step explanation:

TEA [102]2 years ago

5 0

Answer:

20°

Step-by-step explanation:

1) Opposite angles are equal, so the opposite will be 140°.
2) Then, you do 140+110+90+90 (since A and D are at right angles) which gets you 430°

3) Finally, since its a pentagon, you do 540° - 430° which is 110°

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Step-by-step explanation:

The formula to find the confidence interval for mean :

$\overline{x}\pm z_c\dfrac{\sigma}{\sqrt{n}}$ , where $\overline{x}$ is the sample mean , $\sigma$ is the population standard deviation , n is the sample size and $z_c$ is the two-tailed test value for z.

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Confidence level : 95%

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sample mean : $\overline{x}=65$ hours

Population standard deviation : $\sigma=18$ hours

z-value for 93% confidence interval: $z_c=1.8119$ [using z-value table]

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$65\pm (1.8119)\dfrac{18}{\sqrt{62}}\\\\ 65\pm4.142\\\\=(65-4.142,\ 65+4.142)\\\\= (60.858,\ 69.142)$

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