Jordan surveyed her friends about whether or not they had a minivan and whether or not they lived in a two-story house. She repo
rted the relative frequencies in the table shown. Which statement is correct?
A) It is least likely that one of her friends lives in a two-story house and has a minivan.
B) It is most likely that one of her friends has a minivan but does not live in a two-story house.
C) It is most likely that one of her friends lives in a two-story house but does not have a minivan.
D) It is least likely that one of her friends does not have a minivan and does not live in a two-story house.
A) It is least likely that one of her friends lives in a two-story house and has a minivan.
B) It is most likely that one of her friends has a minivan but does not live in a two-story house.
C) It is most likely that one of her friends lives in a two-story house but does not have a minivan.
D) It is least likely that one of her friends does not have a minivan and does not live in a two-story house.
2 answers:
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First lets see the pythagorean identities
So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is
Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .