The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11. if the bottom 5% of students will fail the course, what is the lowest mark that a student can have and still be awarded a passing grade?

a) 62
b) 57
c) 44
d) 40

c) 44

Step-by-step explanation:

Mean grade (μ) = 62

Standard deviation (σ) = 11

In a normal distribution, the z-score correspondent to the lower 5-th percentile is approximately z = -1.645.

The z-score, for any given grade 'X' is determined by:

For  z= -1.645:

Rounding up to the nearest whole unit. The lowest mark that a student can have and still be awarded a passing grade is 44.

n

step-by-step explanation:

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.