If any two sides and any angle are congruent in two triangles, then the triangles must be congruent. is it true or false?
2 answers:
Answer:
FALSE
Step-by-step explanation:
To Find: True or False
If any two sides and any angle are congruent in two triangles, then the triangles must be congruent.
It is not always true according to rule of congruence. If two sides are equal then angle between them must be equal for SAS property.
It is false
Total possible congruence for two sides and one angle : SSA , A-SS, SAS
Only three possible property.
SAS is only true for concurrency of triangle.
SSA and A-SS are false for any two side and any one angle.
Please find the attachment for difference in three property.
Hence, The given statement is false.
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"β", the probability of a type II error here in this question is, the electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes.
As per the question statement, the null hypothesis, , is that, no more than 90% of homes in the city are up to the current electric codes, while an alternative hypothesis,
, is by an electrician claiming more than 90% of homes in the city are up to the current electric codes.
We are required to find out "β" which is the probability of a type II error.
β = Probability of accepting when it is incorrect.
The probability of a Type II error occurs in the situation where, the null hypothesis of "more than 90% of homes in the city are up to the current electric codes" is accepted even though the alternative hypothesis that the electrician claims about "more than 90% of homes in the city being up to the current electric codes" is true. More clearly, the alternative hypothesis that the electrician claims about more than 90% of homes in the city being up to the current electric codes is in fact, rejected when it is correct.
Hence the correct answer :
The probability of Type II error is (β) is that, "The electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes".
- Probability: In Mathematics, Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
- Null & Alternative Hypothesis: A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations while, an alternative hypothesis states about our research prediction of an effect or relationship.
To learn more about Null & Alternative Hypothesis, click on the link below.
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