Why are the solutions to the proportions 50/x =10/20 and 10/50=20/x the same
2 answers:
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Answer:
13, 11, 4, 16, 6, 22
Step-by-step explanation:
<em>Let the second digit be x and the last digit be y</em>
Given:
- Data set: 13, x, 4, 16, 6, y
- Mean = 12
- y = 2x or x = 2y
The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.
Let us substitute the value of y (2x) in the data.
Now, add all the terms in the data and simplify.
Distribute the denominators and simplify.
Subtract 6.5 both sides and simplify.
Use cross multiplication and simplify.
To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".
When the x and y values are substituted in the data, we get;
- ⇒ 13, 11, 4, 16, 6, 22
Therefore, the data is 13, 11, 4, 16, 6, 22.