Find the value of x.

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

Answer:

75= 4x-25(vertically opposite angles are equal)

75+25= 4x

100= 4x

x= 100/4

x= 25

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17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very

joja [24]

If you take 2 groups of equal cardinality, it could happen that, for example, many of the higher values go to the first group and therefore, many of the low values go to the second group, making their respective means quite different and different from the original sample mean. This could even go worse due to the possible existence of outliers, that is, values that are far different than the sample mean. An outlier tend to disrup the mean of a sample, but for smaller samples the result is much dramatic.

For example, let X be {1,2,3,4,5,6,7,8,9,100}

The elements of X sum 145, hence the mean of X is 14,5. Let divide X in two groups

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3 years ago

Define the set X = {(x,y)|x > 0,y ≤ √x}.

Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

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To learn more about convex sets:

brainly.com/question/12577430

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