Math / Data & Statistics

QuestionWhat percentage of the quality sample is outside tolerance? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Quality Sample } \\ \hline Within Tolerance & 127 units \\ \hline Outside Tolerance & 3 units \\ \hline \end{tabular}
Percentage Outside Tolerance = [?
Round to the nearest percent.

Studdy Solution

STEP 1

What is this asking? Out of all the units in the quality sample, what percentage of them are outside the acceptable range? Watch out! Don't just calculate the percentage of units within tolerance.
We need the percentage outside!

STEP 2

1. Calculate the total number of units.
2. Calculate the percentage of units outside tolerance.
3. Round to the nearest percent.

STEP 3

To get the total number of units, we add the number of units within tolerance and the number of units outside tolerance.
It's like combining all the good apples and the bad apples to find out how many apples you have in total!

STEP 4

$\text{Total Units} = \text{Units Within Tolerance} + \text{Units Outside Tolerance}$

STEP 5

We know that there are 127 units within tolerance and 3 units outside tolerance.
Let's plug those numbers into our formula: $\text{Total Units} = 127 + 3$

STEP 6

$\text{Total Units} = 130$ So, we have a total of 130 units in our quality sample.

STEP 7

Now, we want to find out what percentage of these 130 units are outside tolerance.
Think of it like figuring out what portion of a pizza has pepperoni on it!

STEP 8

$\text{Percentage Outside Tolerance} = \frac{\text{Units Outside Tolerance}}{\text{Total Units}} \cdot 100\%$

STEP 9

We know that there are 3 units outside tolerance and a total of 130 units.
Let's plug those numbers into our formula: $\text{Percentage Outside Tolerance} = \frac{3}{130} \cdot 100\%$

STEP 10

$\text{Percentage Outside Tolerance} \approx 2.30769\%$ So, approximately 2.30769% of the units are outside tolerance.

STEP 11

The problem asks us to round to the nearest percent.
Look at the tenths place: if it's 5 or greater, we round up; otherwise, we round down.

STEP 12

Since the tenths digit is 3 (which is less than 5), we round down. $\text{Percentage Outside Tolerance} \approx 2\%$

STEP 13

Approximately 2% of the quality sample is outside tolerance.

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Studdy Solution

STEP 1

What is this asking? Out of all the units in the quality sample, what percentage of them are outside the acceptable range? Watch out! Don't just calculate the percentage of units within tolerance.
We need the percentage outside!

STEP 2

1. Calculate the total number of units.
2. Calculate the percentage of units outside tolerance.
3. Round to the nearest percent.

STEP 3

To get the total number of units, we add the number of units within tolerance and the number of units outside tolerance.
It's like combining all the good apples and the bad apples to find out how many apples you have in total!

STEP 4

$\text{Total Units} = \text{Units Within Tolerance} + \text{Units Outside Tolerance}$

STEP 5

We know that there are 127 units within tolerance and 3 units outside tolerance.
Let's plug those numbers into our formula: $\text{Total Units} = 127 + 3$

STEP 6

$\text{Total Units} = 130$ So, we have a total of 130 units in our quality sample.

STEP 7

Now, we want to find out what percentage of these 130 units are outside tolerance.
Think of it like figuring out what portion of a pizza has pepperoni on it!

STEP 8

$\text{Percentage Outside Tolerance} = \frac{\text{Units Outside Tolerance}}{\text{Total Units}} \cdot 100\%$

STEP 9

We know that there are 3 units outside tolerance and a total of 130 units.
Let's plug those numbers into our formula: $\text{Percentage Outside Tolerance} = \frac{3}{130} \cdot 100\%$

STEP 10

$\text{Percentage Outside Tolerance} \approx 2.30769\%$ So, approximately 2.30769% of the units are outside tolerance.

STEP 11

The problem asks us to round to the nearest percent.
Look at the tenths place: if it's 5 or greater, we round up; otherwise, we round down.

STEP 12

Since the tenths digit is 3 (which is less than 5), we round down. $\text{Percentage Outside Tolerance} \approx 2\%$

STEP 13

Approximately 2% of the quality sample is outside tolerance.

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QuestionWhat percentage of the quality sample is outside tolerance? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Quality Sample } \\ \hline Within Tolerance & 127 units \\ \hline Outside Tolerance & 3 units \\ \hline \end{tabular}Percentage Outside Tolerance = [?Round to the nearest percent.

Studdy Solution

STEP 1

What is this asking? Out of all the units in the quality sample, what percentage of them are *outside* the acceptable range? Watch out! Don't just calculate the percentage of units *within* tolerance.We need the percentage *outside*!

STEP 2

1. Calculate the total number of units.2. Calculate the percentage of units outside tolerance.3. Round to the nearest percent.

STEP 3

To get the **total number of units**, we add the number of units within tolerance and the number of units outside tolerance.It's like combining all the good apples and the bad apples to find out how many apples you have in total!

STEP 4

Total Units=Units Within Tolerance+Units Outside Tolerance \text{Total Units} = \text{Units Within Tolerance} + \text{Units Outside Tolerance} Total Units=Units Within Tolerance+Units Outside Tolerance

STEP 5

We know that there are **127 units** within tolerance and **3 units** outside tolerance.Let's plug those numbers into our formula: Total Units=127+3 \text{Total Units} = 127 + 3 Total Units=127+3

STEP 6

Total Units=130 \text{Total Units} = 130 Total Units=130 So, we have a **total of 130 units** in our quality sample.

STEP 7

Now, we want to find out what percentage of these **130 units** are outside tolerance.Think of it like figuring out what portion of a pizza has pepperoni on it!

STEP 8

Percentage Outside Tolerance=Units Outside ToleranceTotal Units⋅100% \text{Percentage Outside Tolerance} = \frac{\text{Units Outside Tolerance}}{\text{Total Units}} \cdot 100\% Percentage Outside Tolerance=Total UnitsUnits Outside Tolerance​⋅100%

STEP 9

We know that there are **3 units** outside tolerance and a **total of 130 units**.Let's plug those numbers into our formula: Percentage Outside Tolerance=3130⋅100% \text{Percentage Outside Tolerance} = \frac{3}{130} \cdot 100\% Percentage Outside Tolerance=1303​⋅100%

STEP 10

Percentage Outside Tolerance≈2.30769% \text{Percentage Outside Tolerance} \approx 2.30769\% Percentage Outside Tolerance≈2.30769% So, approximately **2.30769%** of the units are outside tolerance.

STEP 11

The problem asks us to round to the nearest percent.Look at the tenths place: if it's 5 or greater, we round up; otherwise, we round down.

STEP 12

Since the tenths digit is 3 (which is less than 5), we round down. Percentage Outside Tolerance≈2% \text{Percentage Outside Tolerance} \approx 2\% Percentage Outside Tolerance≈2%

STEP 13

Approximately **2%** of the quality sample is outside tolerance.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? Out of all the units in the quality sample, what percentage of them are outside the acceptable range? Watch out! Don't just calculate the percentage of units within tolerance.
We need the percentage outside!

1. Calculate the total number of units.
2. Calculate the percentage of units outside tolerance.
3. Round to the nearest percent.

To get the total number of units, we add the number of units within tolerance and the number of units outside tolerance.
It's like combining all the good apples and the bad apples to find out how many apples you have in total!

$\text{Total Units} = \text{Units Within Tolerance} + \text{Units Outside Tolerance}$

We know that there are 127 units within tolerance and 3 units outside tolerance.
Let's plug those numbers into our formula: $\text{Total Units} = 127 + 3$

$\text{Total Units} = 130$ So, we have a total of 130 units in our quality sample.

Now, we want to find out what percentage of these 130 units are outside tolerance.
Think of it like figuring out what portion of a pizza has pepperoni on it!

$\text{Percentage Outside Tolerance} = \frac{\text{Units Outside Tolerance}}{\text{Total Units}} \cdot 100\%$

We know that there are 3 units outside tolerance and a total of 130 units.
Let's plug those numbers into our formula: $\text{Percentage Outside Tolerance} = \frac{3}{130} \cdot 100\%$

$\text{Percentage Outside Tolerance} \approx 2.30769\%$ So, approximately 2.30769% of the units are outside tolerance.

The problem asks us to round to the nearest percent.
Look at the tenths place: if it's 5 or greater, we round up; otherwise, we round down.

Since the tenths digit is 3 (which is less than 5), we round down. $\text{Percentage Outside Tolerance} \approx 2\%$

Approximately 2% of the quality sample is outside tolerance.