Answer:
Null hypothesis = 
Alternate hypothesis =
Step-by-step explanation:
Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.
The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
To Find : Determine the null and alternative hypotheses.
Solution:
In a recent semester, the proportion who earned a bachelor's degree within six years was<u> 0.395. </u>
Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>
So,null hypothesis =
Alternate hypothesis =
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is
There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to
Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Question 9 answer is 0.375
Question 10 answer is 0.03125
963 would be rounded to become 1000.
This is because 9 is the first non-zero number and so since there are only going to be 1 significant figures, the 9 would round up or down. There is a 6 after the 9, so it rounds up to 10, making it 1000.
