14. There are 11 boys and 10 girls in a classroom. A teacher chooses a student at random and puts that student at the head of a line, chooses a second student at random and makes that student second in the line, and
so on, until all 21 students are in the line. What is the probability that the teacher puts them in a line
alternating boys and girls? where no two of the same gender stand together?

here

Step-by-step explanation:

https://www.rcboe.org/cms/lib/GA01903614/Centricity/Domain/1351/21.2%20permutations%20and%20probability.pdf

Yes because if she's going one in one out it is a chance thats what shes doing

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

41*67/2=1373.5

step-by-step explanation:

i just used a calculator