Answer:
The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in
A parallelogram has two pairs of opposite sides. A trapezoid only has one pair of parallel sides.
Answer:
The equation is 
Step-by-step explanation:
If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.
The slope-intercept form of a linear equation is: 
Where m is the slope and b is the y-intercept value.

Therefore the slope is

We can now use the point-slope formula to write the equation of the parallel line:
The point-slope formula states:

Where m is the slope and
is a point the line passes through.
Substituting the information from the problem gives:


Or, we can solve for y to put the equation in slope-intercept form:




Answer: -The mean is not affected by the existence of an outlier.
Step-by-step explanation:
An outlier is an ultimate value in a set of data that is very much higher or lower than the other numbers. Mean is the only central tendency which is affected by the outlier. (It also affect the standard deviation)
It can affect the mean of a data set by skewing the results so that the mean is no longer representative of the data set.
The median and the interquartile range is unaffected by the existence of an outlier.