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;
Therefore, the data is 13, 11, 4, 16, 6, 22.
Answer:
As shown in the attachment,
Step-by-step explanation:
Answer:6/36
Step-by-step explanation:
We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.
Firstly, we'll have to find the two measures of the triangle that correspond to the areas.
Since the figures are squares, we know that the length and width values must be the same.
We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.
(33) + b² = (44)
Next, we'll subtract our smaller value from our larger.
b² = (11)
Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.
Therefore, the area of the square is 11 units!
<em>Hope this helped! :)</em>
Answer: Incorrect.
Step-by-step explanation: 24 out of 30 is 80.00%.
Step 1: We make the assumption that 30 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 30.
Step 4: In the same vein, x % = 24 .
Step 5: This gives us a pair of simple equations:
100 % = 30(1).
x % = 24(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 30/24
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 24/30
x = 80 %
