Clarissa has just completed her second semester in college. She earned a grade of B in her 1-hour discrete math course, a grade of C in her 4-hour psychology course, a grade of B in her 2-hour biology course, and a grade of F in her 5-hour studio art course. Assuming that A equals 4 points, B equals 3 points Cequals 2 points, D equals 1 point and F is worth no points, determine Clarissa's grade-point average for the semester.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

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.

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