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harkovskaia [24]
3 years ago
14

Use the given information to find the measures of all the angles in the figure.

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0
M∠3 = m∠5 = 47° (vertical angles)

m∠1 = 90°

m∠2 + ∠m3 = 90°  ⇒ m∠2 = 90 - m∠3 = 90 - 47 = 43°

m∠4 + m∠5 = 180°  ⇒  m∠4 = 180 - m∠5 = 180 - 47 =  133°

Answer:
m∠1 = 90°
m∠2 = 43°
m∠3 = 47°
m∠4 = 133°

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Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

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\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

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We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

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If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

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We can replace in formula (1) the info given like this:  

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