A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 21 employees speak German; 25 speak French; 33 speak Spanish; 43 speak Spanish or French; 34 speak French or German; 46 speak German or Spanish; 8 speak Spanish, French, and German; and 7 speak English only. (Round your answer to one decimal place and show your work.) (a) What percent of the employees speak at least one language other than English?
A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 21 employees speak German; 25 speak French; 33 speak Spanish; 43 speak Spanish or French; 34 speak French or German; 46 speak German or Spanish; 8 speak Spanish, French, and German; and 7 speak English only. (Round your answer to one decimal place and show your work.)
(b) What percent of the employees speak at least two languages other than English?
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A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 21 employees speak German; 25 speak French; 33 speak Spanish; 43 speak Spanish or French; 34 speak French or German; 46 speak German or Spanish; 8 speak Spanish, French, and German; and 7 speak English only.
Let us denote G for German, F for French, and S for Spanish.
So,
21 employees speak German: n(G)=21,
25 speak French: n(F)=25,
33 speak Spanish: n(S)=33,
43 speak Spanish or French: n(SF)=43,
34 speak French or German: n(FG)=34,
46 speak German or Spanish: n(GS)=46,
8 speak Spanish, French, and German: n(SFG)=8, and
7 speak English only: n(S'F'G')=8.
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