Are x and y proportional?
2 answers:
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We have 5 Republican Candidates and 6 Democratic Candidates
We have a total 11 candidates to choose from
First pick of Democratic Candidates = 6/11
Second pick of Democratic Candidates = 5/10
Third pick of Democratic Candidates = 4/9
Fourth pick of Democratic Candidates = 3/8
The probability of four Democratic candidates in the committee is
×
×
×
= 
We have a total 11 candidates to choose from
First pick of Democratic Candidates = 6/11
Second pick of Democratic Candidates = 5/10
Third pick of Democratic Candidates = 4/9
Fourth pick of Democratic Candidates = 3/8
The probability of four Democratic candidates in the committee is
To answer this question, we will use the sine law which is illustrated in the attached image.
We are given that:
The distance from school to library = a
∠A = 32
∠B = 110
b = 2.2
Substitute with the givens in the relation of the sine law to get a as follows:
(sin 32) / (a) = (sin 110) / (2.2)
a = (2.2 sin 32) / (sin 110)
distance from school to library = a = 1.2406 mi
Based on the above calculations, the best choice would be:
B. 1.2 mi
We are given that:
The distance from school to library = a
∠A = 32
∠B = 110
b = 2.2
Substitute with the givens in the relation of the sine law to get a as follows:
(sin 32) / (a) = (sin 110) / (2.2)
a = (2.2 sin 32) / (sin 110)
distance from school to library = a = 1.2406 mi
Based on the above calculations, the best choice would be:
B. 1.2 mi