Thank you for visiting A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. 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 :
To solve the problem, let's carefully analyze the table and the given percentages.
We know that:
- The total number of customers surveyed is 500.
- 24% of customers have a scone with their tea.
- 36% of customers buy a muffin.
Let's determine the missing labels for the frequency table.
1. Calculate the number of customers who have a scone with their tea:
Since 24% of the surveyed customers have a scone with their tea, we calculate that number by taking 24% of the total number of surveyed customers:
[tex]\[
\text{Scone with Tea} = \frac{24}{100} \times 500 = 120
\][/tex]
2. Calculate the total number of customers who buy a muffin:
Given that 36% of all customers surveyed buy a muffin, we can calculate this as:
[tex]\[
\text{Muffin Total} = \frac{36}{100} \times 500 = 180
\][/tex]
Now, let's complete the column and row headings according to the given data:
The two main rows, which distinguish the type of drink, and the three main columns, which distinguish the type of snack, should look like this:
- Rows:
- First row: Tea (total number of "Tea" customers is 250)
- Second row: Coffee (total number of "Coffee" customers is 250)
- Columns:
- First column: Cookie (total number of "Cookie" customers is 160)
- Second column: Muffin (total number of "Muffin" customers is 180)
- Third column: Scone (total number of "Scone" customers is 160)
Using these calculations and labels, the complete table would look like this:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
& \text{Cookie} & \text{Muffin} & \text{Scone} & \text{Total} \\
\hline
\text{Tea} & 40 & 100 & 110 & 250 \\
\hline
\text{Coffee} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
\][/tex]
Thus, the columns and rows have been correctly labeled based on the data and survey conclusions.
We know that:
- The total number of customers surveyed is 500.
- 24% of customers have a scone with their tea.
- 36% of customers buy a muffin.
Let's determine the missing labels for the frequency table.
1. Calculate the number of customers who have a scone with their tea:
Since 24% of the surveyed customers have a scone with their tea, we calculate that number by taking 24% of the total number of surveyed customers:
[tex]\[
\text{Scone with Tea} = \frac{24}{100} \times 500 = 120
\][/tex]
2. Calculate the total number of customers who buy a muffin:
Given that 36% of all customers surveyed buy a muffin, we can calculate this as:
[tex]\[
\text{Muffin Total} = \frac{36}{100} \times 500 = 180
\][/tex]
Now, let's complete the column and row headings according to the given data:
The two main rows, which distinguish the type of drink, and the three main columns, which distinguish the type of snack, should look like this:
- Rows:
- First row: Tea (total number of "Tea" customers is 250)
- Second row: Coffee (total number of "Coffee" customers is 250)
- Columns:
- First column: Cookie (total number of "Cookie" customers is 160)
- Second column: Muffin (total number of "Muffin" customers is 180)
- Third column: Scone (total number of "Scone" customers is 160)
Using these calculations and labels, the complete table would look like this:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
& \text{Cookie} & \text{Muffin} & \text{Scone} & \text{Total} \\
\hline
\text{Tea} & 40 & 100 & 110 & 250 \\
\hline
\text{Coffee} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
\][/tex]
Thus, the columns and rows have been correctly labeled based on the data and survey conclusions.
Thank you for reading the article A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. 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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Rewritten by : Jeany
