Side MN = 6, side OM = 9, side PQ = 6, and side RP = 9. What side corresponds to side NO and can be used to show that ΔMNO ≅ ΔPQ
2 answers:
Answer:
QR is the side corresponds to side NO.
Step-by-step explanation:
SSS(Side-Side-Side) Postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
Given: Side MN= 6 units , OM = 9 units , PQ = 6 units and RP = 9.
In triangle MNO and triangle PQR
MN = PQ = 6 units [Side]
OM = RP = 9 units. [Side]
NO = QR [Side]
Then; by SSS postulates
Therefore, the sides which corresponds to side NO is, QR .
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Answer:
Null hypothesis:
Alternative hypothesis:
Two tailed test
So we reject the null hypothesis is or if
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Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
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Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
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Calculate the statistic
We can replace in formula (1) the info given like this:
Decision rule
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So we reject the null hypothesis is or if
Our calculated value is not on the rejection zone so then we don't have enough evidence to reject the null hypothesis at 0.01 of significance for this case.