A recent study considered the number of degrees awarded in certain regions of the world.
Region: United States Western Europe Asia
Engineering 61,941 158,931 280,772
Natural Science 111,158 140,126 242,879
Social Science 182,166 116,353 236,018
(a) How many variables do we have? What kind of variables are they?

a) Four variables( Region, number of degrees awarded in engineering, number of degrees awarded in natural sciences, number of degrees awarded in social sciences)

Region is categorical variable while Number of degrees awarded in engineering, Number of degrees awarded in natural sciences, Number of degrees awarded in social sciences are Quantitative discrete variables.

Step-by-step explanation:

a) There are four variables regions, number of degrees awarded in Engineering, number of degrees awarded in Natural sciences, number of degrees awarded in Social sciences.

Region is a categorical variable whereas number of degrees awarded in engineering, natural sciences and social sciences are quantitative discrete variable.

Region is a categorical variable because can be divided into categories United states, Western Europe and Asia.

The number of degrees awarded in Engineering, number of degrees awarded in Natural sciences and number of degrees awarded in Social sciences are quantitative variables because they can be numerically interpreted in a meaningful way. Also they are discrete quantitative variable because number of degrees awarded are countable.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: