Acompany in south dakota manufactures hard hats used in the mining industry. they record measurements on all the hats they produce for quality control and planning purposes. the measurements they collect include hat size, circumference, and lengths of the major and minor axes. meaning the company wants to predicts size of hat given the circumference. what is the response variable?

a. the size of hat, because it is the variable being predicted
b. the circumference, becauase it is the variable being predicted
c. the size of hat, because it is being used to predict circumference
d. the circumference, because it is being used to predict the size of hat.

a. The size of hat, because it is the variable being predicted

Step-by-step explanation:

The response variable, or the dependent variable, is the one whose value depends on the variation of another variable. In this case, the size of the hat is predicted based on the circumference, and lengths of the major and minor axes. Therefore, the size of the hat is the response variable.

The answer is alternative a.

5104.38 inches

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.