The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five
years.
A pie chart titled Performances. Titus Andronicus, 25 percent; Henry I V, 13 percent; Twelfth Night, 17 percent; Othellow, 19 percent; The Tempest, 10 percent; Other, 16 percent.
If the company has performed Twelfth Night 25 times in the past five years, how many times have they performed in total? Round to the nearest whole performance, if necessary.
a.
42
b.
50
c.
147
d.
221
A pie chart titled Performances. Titus Andronicus, 25 percent; Henry I V, 13 percent; Twelfth Night, 17 percent; Othellow, 19 percent; The Tempest, 10 percent; Other, 16 percent.
If the company has performed Twelfth Night 25 times in the past five years, how many times have they performed in total? Round to the nearest whole performance, if necessary.
a.
42
b.
50
c.
147
d.
221
2 answers:
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Answer:
A. 0.5
B. 0.32
C. 0.75
Step-by-step explanation:
There are
- 28 students in the Spanish class,
- 26 in the French class,
- 16 in the German class,
- 12 students that are in both Spanish and French,
- 4 that are in both Spanish and German,
- 6 that are in both French and German,
- 2 students taking all 3 classes.
So,
- 2 students taking all 3 classes,
- 6 - 2 = 4 students are in French and German, bu are not in Spanish,
- 4 - 2 = 2 students are in Spanish and German, but are not in French,
- 12 - 2 = 10 students are in Spanish and French but are not in German,
- 16 - 2 - 4 - 2 = 8 students are only in German,
- 26 - 2 - 4 - 10 = 10 students are only in French,
- 28 - 2 - 2 - 10 = 14 students are only in Spanish.
In total, there are
2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.
The classes are open to any of the 100 students in the school, so
100 - 50 = 50 students are not in any of the languages classes.
A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is
B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is
C. If 2 students are chosen randomly, the probability that both are not taking any language classes is
So, the probability that at least 1 is taking a language class is