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3 years ago

Based on the given diagram, if mZ1 = 60°, then m 2 =

Mathematics

1 answer:

mash [69]3 years ago

5 0

Answer:

m∠2 = 30°

Step-by-step explanation:

Lines AD and BF are perpendicular, so m∠BOD = 90°

m∠1 + m∠2 = 90

plug in given value:

60° + m∠2= 90°

m∠2 = 30°

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anyanavicka [17]

Answer:

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Step-by-step explanation:

the population in america is 332,012,642 so 332,012,642/2 is 166,006,321

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3 years ago

A tv originally cost 400$ how much is the final cost of the tv if the sales tax is 8%

weeeeeb [17]

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3 years ago

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Step-by-step explanation:

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3 years ago

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4 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

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3 years ago