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The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?
The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?
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Practice Questions
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Q1
The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?
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Mean = (4 + 8 + 12 + x) / 4 = 10. Therefore, 4 + 8 + 12 + x = 40. So, x = 40 - 24 = 16.
Questions & Step-by-step Solutions
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Q
Q: The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?
Solution:
Mean = (4 + 8 + 12 + x) / 4 = 10. Therefore, 4 + 8 + 12 + x = 40. So, x = 40 - 24 = 16.
Steps: 9
Show Steps
Step 1: Write down the numbers we have: 4, 8, 12, and x.
Step 2: Understand that the mean (average) is found by adding all the numbers together and then dividing by how many numbers there are.
Step 3: Since we have 4 numbers (4, 8, 12, and x), we will divide the total by 4.
Step 4: Set up the equation for the mean: (4 + 8 + 12 + x) / 4 = 10.
Step 5: Multiply both sides of the equation by 4 to get rid of the division: 4 + 8 + 12 + x = 10 * 4.
Step 6: Calculate 10 * 4, which equals 40. Now we have: 4 + 8 + 12 + x = 40.
Step 7: Add the numbers on the left side: 4 + 8 = 12, and then 12 + 12 = 24. So, we have: 24 + x = 40.
Step 8: To find x, subtract 24 from both sides: x = 40 - 24.
Step 9: Calculate 40 - 24, which equals 16. Therefore, x = 16.
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