WILL MARK BRAINLIEST A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition, How would you
change the definition to make it more accurate?

Give an example of an undefined term and how it relates to a circle

this has a problem because does not explicit the dimension. For example, the set {1, 3} Is the set of all points that are at the same distance (1 unit) from the point x = 2. If we write the definition as: "A plane figure whose points are at a fixed distance to some given point, the center". Then we are defining that is a "plane figure" so we need a plane to have a figure, so we need to have two dimensions, then there is no mistake in this definition.  

An example that may contradict the definition is that if you are trying to find chords, they wont be the same distance as finding the radius. The way that you can change this definition is by saying that "A circle is the set of all points in a plane that are the same distance from a fixed point called the center."

Hope this helps you!

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt