Part A:
Let the width of the rectangle be = x inches
As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches
Perimeter is given as = 54 inches
Perimeter =
Equation becomes:
=54
Part B:
Solving the equation we get
Hence, the width of the rectangle is 12 inches
Length = x+3 = 12+3 = 15 inches
Hence, length of the rectangle is 15 inches.
Answer:
hope it helps you............
The property applied is the associative property
<h3>Algebraic properties</h3>There are several algebraic properties in mathematics; each of which have their own applications
Some of these properties are:
The mathematical expression is given as:
And it is calculated as follows:
The property applied above is the associative property
Read more about mathematical properties at:
Solution: We are given:
Now let's find the estimated value of standard deviation using the range rule of thumb. According to range rule of thumb, the estimate of standard deviation is:
Therefore the estimated standard deviation is 0.690
is this an acceptable approximation?
Answer: c. Yes, because the error of the range rule of thumb's approximation is less than 15%.
Explanation:
The difference between estimated standard deviation and actual standard deviation is:
0.807 - 0.690 = 0.117
Now let's find the percentage of error
.
Therefore, the error of the range rule of thumb's approximation is less than 15%.