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2 years ago

Please answer the question attached, marking brainliest (serious answers only)

Mathematics

2 answers:

Mandarinka [93]2 years ago

8 0

Step-by-step explanation:

By Exterior Angle Theorem,

81° + b = 117°.

=> b = 117° - 81° = 36°.

Elden [556K]2 years ago

5 0

Answer:

b = 36

Step-by-step explanation:

a+117 = 180 ( being straight angle)

a = 180 - 117

a = 63

Now,

81 + 63 + b = 180 ( being sum of interior of triangle)

144 + b= 180

b = 180 - 144

b 36

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In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the popu

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Answer:

$19.6-2.42\frac{5.8}{\sqrt{42}}=17.43$

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And the best option for this case would be:

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Step-by-step explanation:

Information given

$\bar X= 19.6$ represent the sample mean

$\mu$ population mean

$\sigma= 5.8$ represent the population deviation

n=42 represent the sample size

Confidence interval

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=42-1=41$

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Replacing we got:

$19.6-2.42\frac{5.8}{\sqrt{42}}=17.43$

$19.6+2.42\frac{5.8}{\sqrt{42}}=21.77$

And the best option for this case would be:

a. (17.5, 21.7)

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3 years ago