Question

arnaud randomly selected 30% of french international studies students and asked them if they know how to speak french. of the students surveyed, 33 know how to speak french. based on the data, what is the most reasonable estimate of the number of french international studies students who know how to speak french? choose 1 answer: 10 33 110 231

Explanation:

Step1: Set up the proportion

Let \( x \) be the total number of French International Studies students. We know that \( 30\%=\frac{30}{100} = 0.3\) of the students were surveyed, and in the survey, 33 students know French. So the proportion is \(0.3x=33\).

Step2: Solve for \(x\)

Divide both sides of the equation \(0.3x = 33\) by \(0.3\). Using the formula \(x=\frac{33}{0.3}\).
Since \(\frac{33}{0.3}=\frac{33\times10}{0.3\times10}=\frac{330}{3}=110\).

Answer:

C. 110