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three groups of students:S (blue and green): The set of students who took a Spanish class.T (green and orange): The set of students who traveled to a Spanish-speaking country.D(red and orange): The set ofstudents who did not take a Spanish class.Each block represents one student. how many times more likley is it for a student who took spanish to have traveled to a spanish speaking country than a student who did not take spanish

Three Groups Of StudentsS Blue And Green The Set Of Students Who Took A Spanish ClassT Green And Orange The Set Of Students Who Traveled To A Spanishspeaking Co class=

Sagot :

Answer

It is 3.3 times as likely.

Step-by-step explanation

From the graph, the fraction of students who traveled to a Spanish speaking country and took Spanish is:

[tex]have\text{ traveled and took Spanish}=\frac{green\text{ blocks}}{blue\text{ and green blocks}}=\frac{8}{8\times3}=\frac{1}{3}[/tex]

From the graph, the fraction of students who traveled to a Spanish speaking country and did not take Spanish is:

[tex]have\text{ traveled and did not take Spanish =}\frac{orange\text{ blocks}}{orange\text{ and red blocks}}=\frac{8}{8\times10}=\frac{1}{10}[/tex]

Then, the ratio between students who took Spanish and have traveled to a Spanish speaking country and students who did not take Spanish and have traveled to a Spanish speaking country is:

[tex]\frac{have\text{ traveled and took Spanish}}{have\text{ traveled and did not take Spanish}}=\frac{\frac{1}{3}}{\frac{1}{10}}=\frac{10}{3}\approx3.3[/tex]

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