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n200080 [17]
1 year ago
7

Suppose CM and DM intersect AB as shownAlison states < AMC + < CMD+ < DMB = < AMB which of the following justifies A

lison's statement?A. Angle Addition PostulateB. Segment Addition PostulateС. Construction of an Angle BisectorD. Definition of Supplementary Angles

Mathematics
1 answer:
aivan3 [116]1 year ago
4 0
Answer: D. Definition of Supplementary Angles

Explanations:

Note from the diagram shown that:

AMB forms a straight line

This means that < AMB = 180 degrees (Because sum of angles on a straight line is 180 degrees)

Also note that the sum of angles on a straight line is 180 degrees

< AMC + < CMD + < DMB = 180 (sum of angles on a straight line)

Since < AMB = 180

< AMC + < CMD + < DMB = < AMB

Since the above indicates that the sum of the angles add up to 180 degrees, they are supplementary angles.

Note that supplementary angles are angles that add up to 180 degrees

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Answer:

p_v =P(t_{74}    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation    

\bar X=18.81 represent the average lateral recumbency for the sample    

s=8.4 represent the sample standard deviation    

n=75 sample size    

\mu_o =20 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

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

State the null and alternative hypotheses.    

We need to apply a left tailed  test.  

What are H0 and Ha for this study?    

Null hypothesis:  \mu \geq 20  

Alternative hypothesis :\mu < 20  

Compute the test statistic  

The statistic for this case is given by:  

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

t-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".    

Calculate the statistic    

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

t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227

The degrees of freedom are given by:

df=n-1=75-1=74    

Give the appropriate conclusion for the test  

Since is a one side left tailed test the p value would be:    

p_v =P(t_{74}    

Conclusion    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

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3 years ago
Two roads cross at an intersection. If one of the angles created is 50 degrees what’s are the three angles
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50 degrees is one while the other two are 130 degrees
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Naomi and Peter's teacher receives an order of 127 books.The books are delivered in 10 full cartons and a smaller package contai
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2 years ago
Read 2 more answers
Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
Vesna [10]

Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.

We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.

\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

d=6(r+16)...(2)

Upon equating equation (1) and equation (2), we will get:

8r=6(r+16)

8r=6r+96

8r-6r=6r-6r+96

2r=96

\frac{2r}{2}=\frac{96}{2}

r=48

Upon substituting r=48 in equation (1), we will get:

d=8r\Rightarrow 8(48)=384

Therefore, Mai lives 384 miles away from the mountains.

8 0
2 years ago
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