. Explain the difference between a discrete variable and a continuous variable. Choose the correct answer below. A. A discrete variable has observed values that are clustered in certain intervals, while a continuous variable has observed values that are evenly distributed throughout the distribution. B. A discrete variable has possible values that are separate numbers, while a continuous variable has possible values that form an interval. C. A discrete variable has infinitely many possible values, while a continuous variable is usually a count. D. A discrete variable has each observation belong to one of a set of distinct categories, while a continuous variable has observations that take numerical values that represent different magnitudes of the variable.

The correct answer is:

A discrete variable has possible values that are separate numbers, while a continuous variable has possible values that form an interval. (B)

Step-by-step explanation:

There are two major categories of variables in data measurement: Discrete and Continuous variables

A Discrete variable is a type variable that can take on a distinct number, obtained by counting, and there is a limit to the value that that variable can take on. An example is the number of students in a class. This can be 10, or 20 or 25, etc. There cannot be 12.8 students or 13.1 students. Hence this kind of variable is a discrete variable.

A Continuous variable is one that is measured and not counted. they have an infinite possibility within a range in a scale of measurement. An example is; the height of trees in meters. The possibilities can be 3.6m, 4.08m, 5m, 1.9m, etc. There is no distinct number, but a possibility of ranges.  

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the answer is 1/4

step-by-step explanation: