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Kamila [148]
3 years ago
15

Which pair of angles are an example of supplementary angles?

Mathematics
2 answers:
patriot [66]3 years ago
5 0

Answer:

<h3>A Angle 1 and Angle 7 </h3>

Step-by-step explanation:

<h3> I think the Answer is A...</h3>

If you like this answer then mark this answer as BRAINLIEST answer....

Thank you ☺️☺️

Ostrovityanka [42]3 years ago
5 0

Answer: A. Angle 1 and Angle 7

Step-by-step explanation:

A: Angle 1 and 7 are same side exterior angles so they are not equal but add up to 180 degrees and supplementary angles add up to 180 degrees.

B. Angle 3 and Angle 6 are alternate interior angles so Angle 3 and Angle 6 are equal.

C. Angle 2 and Angle 7 are alternate exterior angles so Angle 2 and Angle 7 are equal.

D. Angle 1 and Angle 4 are vertical angles so Angle 1 and Angle 4 are equal.

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You own a rectangular home lot that is 46,200 square feet in size. You get a quote of $10 per foot. If your lot is 220ft long an
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Answer:

Step-by-step explanation:

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The mean consumption of water per household in a city was 1425 cubic feet per month. Due to a water shortage because of a drough
liberstina [14]

Answer:

a)t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10    

The degrees of freedom are given by:

df=n-1=100-1=99  

The p value for this case would be given by:

p_v =P(t_{99}  

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

b) For this case we need to find a critical value in the t distribution with  99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

t_{\alpha/2}=1.984

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

Step-by-step explanation:

Information given

\bar X=1175 represent the sample mean for the cubic feets of households

\sigma=250 represent the population standard deviation

n=100 sample size  

\mu_o =1425 represent the value to verify

\alpha=0.025 represent the significance level

t would represent the statistic

p_v represent the p value

Part a

We want to test that the mean consumption of water per household has decreased due to the campaign by the city council, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1425  

Alternative hypothesis:\mu < 1425  

Since we don't know the deviation the statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic is given by:

t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10    

The degrees of freedom are given by:

df=n-1=100-1=99  

The p value for this case would be given by:

p_v =P(t_{99}  

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

Part b

For this case we need to find a critical value in the t distribution with  99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

t_{\alpha/2}=1.984

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

6 0
3 years ago
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