If the measure of the third angle of the triangle is 45 ° more than three time the measure of either of the other two angles,
1 answer:
Answer:
The first and second angles are 27° and the third angle is 126°.
Step-by-step explanation:
We have that the third angle (β) is 45° more than three times the measure of either of the other two angles (θ):
(1)
Also, the sum of the measures of the 3 angles is 180°:
(2)
By entering equation (1) into equation (2) we have:
Hence, the third angle is:
Therefore, the first and second angles are 27° and the third angle is 126°.
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Answer:
Step-by-step explanation:
Given that:
Mean = 3.34
sample size = 26
sample mean = 2.7
standard deviation = 1.17
level of significance = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:
degree of freedom = n - 1
degree of freedom = 26 -1
degree of freedom = 25
level of significance = 0.10
Since the alternative hypothesis contains <, then the test is left tailed
= - 1.316
The rejection region therefore consist of all values smaller than - 1.316, therefore ; reject if t < -1.316
The test statistics can be computed as follows:
t = - 2.789
Decision Rule: To reject the null hypothesis if the t test lies in the rejection region or less than the rejection region.
Conclusion: We reject the null hypothesis since t = (- 2.789) < -1.316. Then we conclude that the mean number of residents in the retirement community household is less than 3.34 persons.