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lukranit [14]
3 years ago
14

Determine the unknown side lengths’ to the nearest tenth. for the first question and also please help with question 6

Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

So

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm

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Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

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\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

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Mean =\displaystyle\frac{1339.9}{40} = 33.5

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\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

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