Thank you for visiting Drag each label to the correct location on the table A local café serves tea coffee cookies scones and muffins They recently gathered data about. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
We begin by noting that the survey was conducted on a total of [tex]$500$[/tex] customers, and the table provided has row totals of [tex]$250$[/tex] for each drink and column totals of [tex]$160$[/tex], [tex]$180$[/tex], and [tex]$160$[/tex] for the snacks.
1. First, we are told that approximately [tex]$24\%$[/tex] of the customers have a scone with their tea. Calculating the number, we have
[tex]$$0.24 \times 500 = 120.$$[/tex]
This means that the cell corresponding to customers who drink tea and have a scone must contain [tex]$120$[/tex] entries.
2. Next, we are informed that approximately [tex]$36\%$[/tex] of the customers buy a muffin. Calculating,
[tex]$$0.36 \times 500 = 180,$$[/tex]
the column corresponding to muffins must have a total of [tex]$180$[/tex].
3. Now, consider the structure of the table. There are two rows representing the drinks and three columns representing the snacks. Since one of the rows must capture the tea drinkers and we need the cell for tea and scones to be [tex]$120$[/tex], we assign one of the rows (specifically, the one that provides the [tex]$120$[/tex] in the scone column) as the tea row. With both rows having totals of [tex]$250$[/tex], the other row will represent coffee.
4. For the snack columns, we have three possible labels: cookies, scones, and muffins.
- We already determined that the muffin column must have a total of [tex]$180$[/tex].
- Since tea and scones should yield a cell value of [tex]$120$[/tex], we assign the scone label to the column that contributes [tex]$120$[/tex] when intersecting with the tea row.
- The remaining column (with a total of [tex]$160$[/tex]) is then assigned to cookies.
5. With our assignments, the table is completed as follows:
[tex]$$
\begin{array}{|c|c|c|c|c|}
\hline
& \textbf{Scone} & \textbf{Muffin} & \textbf{Cookie} & \textbf{Total} \\
\hline
\textbf{Coffee} & 40 & 100 & 110 & 250 \\
\hline
\textbf{Tea} & 120 & 80 & 50 & 250 \\
\hline
\textbf{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
$$[/tex]
Notice that the cell at the intersection of the tea row and the scone column is [tex]$120$[/tex], which is consistent with [tex]$24\%$[/tex] of [tex]$500$[/tex]. Also, the muffin column total is [tex]$180$[/tex], which is [tex]$36\%$[/tex] of [tex]$500$[/tex].
Thus, the labels for the rows and columns are:
- Row labels (drinks): \textbf{Coffee} and \textbf{Tea}.
- Column labels (snacks): \textbf{Scone}, \textbf{Muffin}, and \textbf{Cookie}.
1. First, we are told that approximately [tex]$24\%$[/tex] of the customers have a scone with their tea. Calculating the number, we have
[tex]$$0.24 \times 500 = 120.$$[/tex]
This means that the cell corresponding to customers who drink tea and have a scone must contain [tex]$120$[/tex] entries.
2. Next, we are informed that approximately [tex]$36\%$[/tex] of the customers buy a muffin. Calculating,
[tex]$$0.36 \times 500 = 180,$$[/tex]
the column corresponding to muffins must have a total of [tex]$180$[/tex].
3. Now, consider the structure of the table. There are two rows representing the drinks and three columns representing the snacks. Since one of the rows must capture the tea drinkers and we need the cell for tea and scones to be [tex]$120$[/tex], we assign one of the rows (specifically, the one that provides the [tex]$120$[/tex] in the scone column) as the tea row. With both rows having totals of [tex]$250$[/tex], the other row will represent coffee.
4. For the snack columns, we have three possible labels: cookies, scones, and muffins.
- We already determined that the muffin column must have a total of [tex]$180$[/tex].
- Since tea and scones should yield a cell value of [tex]$120$[/tex], we assign the scone label to the column that contributes [tex]$120$[/tex] when intersecting with the tea row.
- The remaining column (with a total of [tex]$160$[/tex]) is then assigned to cookies.
5. With our assignments, the table is completed as follows:
[tex]$$
\begin{array}{|c|c|c|c|c|}
\hline
& \textbf{Scone} & \textbf{Muffin} & \textbf{Cookie} & \textbf{Total} \\
\hline
\textbf{Coffee} & 40 & 100 & 110 & 250 \\
\hline
\textbf{Tea} & 120 & 80 & 50 & 250 \\
\hline
\textbf{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
$$[/tex]
Notice that the cell at the intersection of the tea row and the scone column is [tex]$120$[/tex], which is consistent with [tex]$24\%$[/tex] of [tex]$500$[/tex]. Also, the muffin column total is [tex]$180$[/tex], which is [tex]$36\%$[/tex] of [tex]$500$[/tex].
Thus, the labels for the rows and columns are:
- Row labels (drinks): \textbf{Coffee} and \textbf{Tea}.
- Column labels (snacks): \textbf{Scone}, \textbf{Muffin}, and \textbf{Cookie}.
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