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AveGali [126]
1 year ago
8

Select the correct answer from each drop-down menu. Trapezoid PQRS be inscribed in a circle because the .

Mathematics
1 answer:
prisoha [69]1 year ago
3 0

Trapezoid PQRS be inscribed in a circle because its opposite angles are supplementary.

According to the statement

we have given that the Trapezoid PQRS be inscribed in a circle and we have to find the correct answer from the given data.

So, For this purpose, we know that the

The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.

From the diagram given,

the opposite angles in the trapezoid are 115 and 65 degree.

So, after adding it become

115 + 65 = 180 degrees.

Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.

So, Trapezoid PQRS be inscribed in a circle because its opposite angles are supplementary.

Learn more about inscribed quadrilateral conjecture here

brainly.com/question/12238046

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Select the correct answer from each drop-down menu.

Trapezoid PQRS

4650

be inscribed in a circle because the

Reset

115⁰

Next

65°

For more understanding please see the image below.

#SPJ4

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Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

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