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goblinko [34]
3 years ago
9

How are the two angles below related? A) Drawing not to scale. B) complementary .C) supplementary. D) adjacent. E) vertical

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

Option C) supplementary

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

In this problem

The measure of angles are

60° and 120°

Their sum is equal to

60° + 120°=180°

therefore

The two angles are supplementary

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While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether the percent of men who en
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Answer:

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057  

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Step-by-step explanation:

1) Data given and notation  

X_{M}=23 represent the number of men that said they enjoyed the activity of Saturday afternoon shopping

X_{W}=8 represent the number of women that said they enjoyed the activity of Saturday afternoon shopping

n_{M}=66 sample of male selected

n_{W}=23 sample of demale selected

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z would represent the statistic (variable of interest)  

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

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Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

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z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

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Replacing in formula (1) the values obtained we got this:  

z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057  

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Since is a one side right tail test the p value would be:  

p_v =P(Z>0.0057)=0.4977  

So the p value is a very high value and using the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.  

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Answer:

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