Triangle ABC is reflected over the line y = x. Triangle ABC has points A (-6, -1), B (-2, -1), and C (-5, -6). What is the A' co
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Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
represent the sample 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)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
<u>Short answer</u> = C) 8/10
<u>Working :</u>
Tan A = 8/6 = Opposite / AdjacentOpposite = 8 units
Adjacent = 6 units
Hypotenuse =
=
=
= 10 units
Cos B = Adjacent/ Hypotenuse
∴ cos B= 8/10
