In the accompanying diagram, isosceles triangle ABC has coordinates A(-4,0), B(4,0), C(0,4). Find the area of ABC.
1 answer:
Answer:
The area of triangle ABC is
Step-by-step explanation:
we know that
The area of a triangle is equal to
In this problem we have
---> the length of the base b is the difference of the x-coordinates between A and B
---> the height h is the difference of the y-coordinates between C and the origin O
substitute the values in the formula
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Answer:
H 0 : μ = 3.1 H 1 : μ > 3.1
And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.
The p value is:
The significance level is: 0.1 or 10%
And since the p value is very low compared to the significance level we have enough evidence to:
Reject the null hypothesis
Step-by-step explanation:
For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:
H 0 : μ = 3.1 H 1 : μ > 3.1
And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.
We have the following info given:
The statistic to check the hypothesis is given by:
Replacing the info given we got:
The degrees of freedom are given by:
The p value since is a right tailed ted is given by:
The significance level is 0.1 or 10%
And since the p value is very low compared to the significance level we have enough evidence to:
Reject the null hypothesis