The following table shows the data collected from four random samples of 50 students from a small middle school regarding their
reading preferences
Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
A. Novels
B. Short Stories
C. Classics
D. Comic Book
Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
A. Novels
B. Short Stories
C. Classics
D. Comic Book
2 answers:
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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.