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gizmo_the_mogwai [7]
2 years ago
9

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
2 answers:
Liula [17]2 years ago
3 0

Answer:

Step-by-step explanation:

x=180-59-41

x=80

lesya692 [45]2 years ago
3 0

Answer: 80°

Step-by-step explanation:

The sum of all angles in a triangle is always 180°

so 59° + 41° + x ° = 180°

or x = 180 - 41 - 59 = 80

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Step-by-step explanation:

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 mean \bar{x}=6.88

 standard deviation \sigma=1.90

 sample size n=41

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Critical value =\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]  

                                                =1-0.90

                                        \Rightarrow \alpha=0.1

Critical value =\frac{z_{0.1}}{2}

                      =z_{0.05}

                      =1.645

The margin of error (E)  =\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }

                                       =1.645\times\frac{1.90}{\sqrt{41} }

                                       =0.49

Hence, The margin of error (E) =0.49

Complete question is attached in below.

                     

7 0
3 years ago
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