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2 years ago

12

Find the value of x for which line a is parallel to line b. (21)

1 answer:

Romashka [77]2 years ago

7 0

X is 20 degrees. Since it says that lines a and b are parallel and angles four and five are right next to each other, it means that when you add the two of them together you’ll get 180. Since it’s replaced with variables with coefficients, add the coefficients to get 9 and divide 180/9 to get 20. 20 is the value for x which is your answer

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inysia [295]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal

Alex777 [14]

Answer:

The correct answer is " $2.633< \sigma < 4.480$ ".

Step-by-step explanation:

Given:

n = 21

s = 3.3

c = 0.9

now,

$df = n-1$

$=20$

⇒ $x^2_{\frac{\alpha}{2}, n-1 }$ = $x^2_{\frac{0.9}{2}, 21-1 }$

= $31.410$

⇒ $x^2_{1-\frac{\alpha}{2}, n-1 }$ = $10.851$

hence,

The 90% Confidence interval will be:

= $\sqrt{\frac{(n-1)s^2}{x^2_{\frac{\alpha}{2}, n-1 }} } < \sigma < \sqrt{\frac{(n-1)s^2}{x^2_{1-\frac{\alpha}{2}, n-1 }}$

= $\sqrt{\frac{(21-1)3.3^2}{31.410} } < \sigma < \sqrt{\frac{(21.1)3.3^2}{10.851} }$

= $\sqrt{\frac{20\times 3.3^2}{31.410} } < \sigma < \sqrt{\frac{20\times 3.3^2}{10.851} }$

= $2.633< \sigma < 4.480$

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nydimaria [60]

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Read 2 more answers

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AleksandrR [38]

Answer:

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Step-by-step explanation:

sorry if im wrong

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