If a data value in a normal distribution has a negative z-score, which of the following must be true?

the data value must be negative.
the data value must be positive.
the data value must be less than the mean.
the data value must be greater than the mean.

C. The data value must be less than the mean.

Step-by-step explanation:

We have been given a statement and we are asked to choose the correct option about our given statement.

Since a z-score tells us that a data value is how many standard deviation away from mean.

To find the z-score for a given data value or raw score, we subtract the mean of data set from the given raw score and divide the result by standard deviation of the data set

If a data value is greater than mean, then it will have a positive z-score. If a data value is smaller than mean, then it will have a negative z-score.

Upon looking at our given choices we can see that option C is the correct choice.

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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.