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 start by noticing there are 500 customers in total, and each customer buys one drink and one snack. The survey data tells us two important things:
1. Approximately 24% of all customers have a scone with their tea. This means the number of tea customers having scones is
[tex]$$0.24 \cdot 500 = 120.$$[/tex]
Therefore, in the table the cell for tea paired with scones must be 120.
2. Approximately 36% of all customers buy a muffin. Thus, the total number of customers who purchase a muffin is
[tex]$$0.36 \cdot 500 = 180.$$[/tex]
This makes the muffin column total [tex]$180$[/tex].
Since the café serves two types of drinks (tea and coffee) and three types of snacks (cookies, scones, and muffins), the data table is a [tex]$2 \times 3$[/tex] table, with each drink row summing to [tex]$250$[/tex] and the three snack columns summing to [tex]$500$[/tex].
A convenient way to assign the values is as follows:
- Let the top row be for coffee and the bottom row for tea.
- We require the cell for tea with scones to be [tex]$120$[/tex] (to match the 24% detail).
By assigning the values to match both the row totals ([tex]$250$[/tex] for each drink) and the column totals, one acceptable distribution is:
For the Coffee row:
- Scone: [tex]$40$[/tex]
- Muffin: [tex]$100$[/tex]
- Cookie: [tex]$110$[/tex]
These add up to
[tex]$$40+100+110=250.$$[/tex]
For the Tea row:
- Scone: [tex]$120$[/tex]
- Muffin: [tex]$80$[/tex]
- Cookie: [tex]$50$[/tex]
These also add up to
[tex]$$120+80+50=250.$$[/tex]
Now, we check that the snack column totals match the given information:
- Scone column: [tex]$40+120=160$[/tex]
- Muffin column: [tex]$100+80=180$[/tex] (matching the muffin total)
- Cookie column: [tex]$110+50=160$[/tex]
The overall total is:
[tex]$$160+180+160=500.$$[/tex]
Thus, the table with the correct row and column headings is:
[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]
To summarize:
- The rows represent the drinks. The top row is for Coffee and the bottom row is for Tea.
- The columns represent the snacks. The leftmost column is Scone, the middle column is Muffin, and the rightmost column is Cookie.
This arrangement ensures that 120 tea customers have scones (which is 24% of 500) and that 180 customers total buy a muffin (which is 36% of 500).
1. Approximately 24% of all customers have a scone with their tea. This means the number of tea customers having scones is
[tex]$$0.24 \cdot 500 = 120.$$[/tex]
Therefore, in the table the cell for tea paired with scones must be 120.
2. Approximately 36% of all customers buy a muffin. Thus, the total number of customers who purchase a muffin is
[tex]$$0.36 \cdot 500 = 180.$$[/tex]
This makes the muffin column total [tex]$180$[/tex].
Since the café serves two types of drinks (tea and coffee) and three types of snacks (cookies, scones, and muffins), the data table is a [tex]$2 \times 3$[/tex] table, with each drink row summing to [tex]$250$[/tex] and the three snack columns summing to [tex]$500$[/tex].
A convenient way to assign the values is as follows:
- Let the top row be for coffee and the bottom row for tea.
- We require the cell for tea with scones to be [tex]$120$[/tex] (to match the 24% detail).
By assigning the values to match both the row totals ([tex]$250$[/tex] for each drink) and the column totals, one acceptable distribution is:
For the Coffee row:
- Scone: [tex]$40$[/tex]
- Muffin: [tex]$100$[/tex]
- Cookie: [tex]$110$[/tex]
These add up to
[tex]$$40+100+110=250.$$[/tex]
For the Tea row:
- Scone: [tex]$120$[/tex]
- Muffin: [tex]$80$[/tex]
- Cookie: [tex]$50$[/tex]
These also add up to
[tex]$$120+80+50=250.$$[/tex]
Now, we check that the snack column totals match the given information:
- Scone column: [tex]$40+120=160$[/tex]
- Muffin column: [tex]$100+80=180$[/tex] (matching the muffin total)
- Cookie column: [tex]$110+50=160$[/tex]
The overall total is:
[tex]$$160+180+160=500.$$[/tex]
Thus, the table with the correct row and column headings is:
[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]
To summarize:
- The rows represent the drinks. The top row is for Coffee and the bottom row is for Tea.
- The columns represent the snacks. The leftmost column is Scone, the middle column is Muffin, and the rightmost column is Cookie.
This arrangement ensures that 120 tea customers have scones (which is 24% of 500) and that 180 customers total buy a muffin (which is 36% of 500).
Thank you for reading the article 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. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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