Math question down below
2 answers:
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Answer:
C
Step-by-step explanation:
If you simplify the equation you get . To solve a square root function, you need to set up
. You can take the square root of both sides to get
. Then, we identify the intervals that will satisfy the equation, which is -3 ≤ x < 1.
Sorry if the explanation is kind of confusing, I wasn't sure how to describe it.
This is done by factoring. 1/8 is smaller than 1/2, so we can factor a 1/8 out of 1/2. This is what that looks like: 
, because factoring after all is a form of division. When we divide a fraction by a fraction, we bring the lower fraction up and flip it to multiply, giving us this: 
. This of course reduces to 4. So when we factor out 1/8, what we will have then is 
, choice D from above.
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