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What is the number of segments determined by n points is?

The answer depends on whether the n points are on a line and you are interested in linear segments or whether they are on the circumference of a circle and you are interested in the number of segments that the circle is partitioned into. Or, of course, any other shape.


How many segments are formed by n x number of collinear points?

For ( n ) collinear points, the number of line segments that can be formed is given by the combination formula ( \binom{n}{2} ), which represents the number of ways to choose 2 points from ( n ) points. This simplifies to ( \frac{n(n-1)}{2} ). Therefore, the total number of segments formed by ( n ) collinear points is ( \frac{n(n-1)}{2} ).


How many segments do n points divide a given line segment?

A line segment defined by ( n ) points is divided into ( n + 1 ) segments. Each point creates a division between two segments, so with ( n ) points, there are ( n ) divisions. Therefore, the total number of segments formed is equal to the number of divisions plus one, resulting in ( n + 1 ) segments.


What is the number of non overlapping segments formed by n collier points?

The number of non-overlapping segments formed by ( n ) collinear points is given by the formula ( \frac{n(n-1)}{2} ). This is because each pair of points can form a unique segment, and the total number of pairs of ( n ) points is calculated using combinations: ( \binom{n}{2} ). Thus, for ( n ) points, the maximum number of non-overlapping segments is ( \frac{n(n-1)}{2} ).


How do you determine the number of segments that can be drawn connecting each pair of points?

If there are n points then the maximum number of lines possible is n*(n-1)/2 and that maximum is attained of no three points are collinear.


A pyramid has a base with n sides How many vertices does the pyramid have?

n+1 = vertices of a pyramid If: n = number of sides of the polygonal base AND a pyramid has 1 point where line segments from points of the polygonal base intersect


If points S O and N are collinear how many lines do they determined?

3


Calculate the average number of bison per segment using the equation below where N equals the average number of bison per segment . If you get a decimal for your answer round to the nearest whole number?

the rest of the question : N= Total number of individuals divided by Number of segments Total number of segments is 31


There are 7 points on a circle how many line segments can be drawn joining the points?

Use the formula n(n-1)/2 --> 7(7-1)/2 = 7(6)/2 = 42/2 = 21.


How many straight lines can be drawn using 8 non collinear points?

From 8 non-collinear points, the number of straight lines that can be drawn is determined by choosing any two points to form a line. This can be calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of points and ( r ) is the number of points to choose. For 8 points, the calculation is ( \binom{8}{2} = \frac{8 \times 7}{2 \times 1} = 28 ). Therefore, 28 straight lines can be drawn using 8 non-collinear points.


How do you find the number of rays given the number of point?

The answer depends on whether any of the points are collinear: that is, whether they lie on the same line. No matter how many points you have, if they are all collinear you will have only one ray.If you have N points, the maximum number of rays is attained when no three of them are collinear. This number is N*(N-1)/2.


How many lines can be drawn to a given points?

Through any two distinct points, exactly one straight line can be drawn. If you have more than two points, the number of lines that can be drawn depends on how many of those points are distinct and not collinear. For ( n ) distinct points, the maximum number of lines that can be formed is given by the combination formula ( \binom{n}{2} ), which represents the number of ways to choose 2 points from ( n ). If some points are collinear, the number of unique lines will be less.