What is the mean and standard deviation of the adult values in the table below?
1 answer:
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Answer:
2.99 cm²
Step-by-step explanation:
<em>(The "..." at the end of the decimal means that number is repeating)</em>
The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.
Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 , also written as 7.33...) by 2; this equals 3
, also written as 3.66...
Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).
Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...
Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:
A = P - L²
(A = area, P = perimeter, L = lenth)
Now just insert the numbers into the equation and solve!
The area of the rectangle is 2.99cm²
Answer: x = 6.46153846
Step-by-step explanation:
We are given the equation <em>13x - 4 +100 = 180</em>, and we must find the value of <em>x</em>. In order to do that get x on on one side by itself and a constant on the other side by itself.
This first step is to combine like terms. <em>13x</em> is by itself. <em>-4 + 100 = 96</em>. This gives us the equation <em>13x +96 = 180</em>.
In order to get <em>x </em>by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.
Next, divide each side by 13 to find x. This gives us x = 6.46153846
Hope this helps! Have a nice day!