Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To determine the value of the remaining number when we know the average of three numbers and know two of the numbers, follow these steps:
1. Understand the relationship between the average and the sum:
The average of three numbers (let's call them [tex]\(X\)[/tex], [tex]\(Y\)[/tex], and [tex]\(Z\)[/tex]) is given by:
[tex]\[ V = \frac{X + Y + Z}{3} \][/tex]
2. Express the sum in terms of the average:
To get the sum of the three numbers from the average, rearrange the formula:
[tex]\[ X + Y + Z = 3V \][/tex]
3. Solve for the remaining number [tex]\(X\)[/tex]:
We need to isolate [tex]\(X\)[/tex] (the unknown number). We already know [tex]\(Y\)[/tex] and [tex]\(Z\)[/tex], so rearrange the equation:
[tex]\[ X = 3V - Y - Z \][/tex]
Therefore, the remaining number is given by:
[tex]\[ X = 3V - Y - Z \][/tex]
So the correct choice from the given options is not directly listed, but the closest to this value based on the notation is:
[tex]\[ 3V - Y - Z \][/tex]
Since this exact option is not shown, none of the options A to E is correct.
Given the choices, the intended correct formula should be:
[tex]\[ X = 3V - Y - Z \][/tex]
1. Understand the relationship between the average and the sum:
The average of three numbers (let's call them [tex]\(X\)[/tex], [tex]\(Y\)[/tex], and [tex]\(Z\)[/tex]) is given by:
[tex]\[ V = \frac{X + Y + Z}{3} \][/tex]
2. Express the sum in terms of the average:
To get the sum of the three numbers from the average, rearrange the formula:
[tex]\[ X + Y + Z = 3V \][/tex]
3. Solve for the remaining number [tex]\(X\)[/tex]:
We need to isolate [tex]\(X\)[/tex] (the unknown number). We already know [tex]\(Y\)[/tex] and [tex]\(Z\)[/tex], so rearrange the equation:
[tex]\[ X = 3V - Y - Z \][/tex]
Therefore, the remaining number is given by:
[tex]\[ X = 3V - Y - Z \][/tex]
So the correct choice from the given options is not directly listed, but the closest to this value based on the notation is:
[tex]\[ 3V - Y - Z \][/tex]
Since this exact option is not shown, none of the options A to E is correct.
Given the choices, the intended correct formula should be:
[tex]\[ X = 3V - Y - Z \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.