a coffee shop recently sold 12 drinks, including 5 americanos. considering this data, how many of the next…

a coffee shop recently sold 12 drinks, including 5 americanos. considering this data, how many of the next 96 drinks sold would you expect to be americanos? americanos

a coffee shop recently sold 12 drinks, including 5 americanos. considering this data, how many of the next 96 drinks sold would you expect to be americanos? americanos

Answer

Explanation:

Step1: Calculate the proportion of Americanos

The proportion of Americanos in the first - sample is $\frac{5}{12}$.

Step2: Use the proportion to predict future sales

Let $x$ be the number of Americanos in the next 96 drinks. We set up a proportion: $\frac{5}{12}=\frac{x}{96}$. Cross - multiply gives $12x = 5\times96$. Then $x=\frac{5\times96}{12}$.

Step3: Solve for $x$

$x = 40$.

Answer:

40