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3 years ago

According to the diagram below, which similarity statements are true?Check all that apply

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

Answer:

A, C, D

Step-by-step explanation:

Consider right triangles PQS, PRQ and QRS. In these triangles,

$m\angle QPS=m\angle QPR=m\angle SQR\\ \\m\angle QSR=m\angle PQR=m\angle QSR$

So, by AA theorem,

$\triangle PQS\sim \triangle PRQ\sim \triangle QRS$

From this statement, strictly follow options A and D

$\triangle PQR\sim \triangle PSQ\\ \\\triangle PQS\sim \triangle QRS$

Option B is false, because PRS is not a triangle

Option C is true, because

$\triangle PRQ\sim \triangle QRS\Rightarrow \triangle PQR\sim \triangle QSR$

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Answer:

$p_v= 0.01$

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Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

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The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

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And we have this property

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And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0

3 years ago

According to the diagram below, which similarity statements are true?Check all that apply​

According to the diagram below, which similarity statements are true?Check all that apply