Classify the random variables below according to whether they are discrete or continuous. a. The number of people in a restaurant that has a capacity of 100.b. The height of a randomly selected giraffe. c. The square footage of a house. d. The number of light bulbs that burn out in the next week in a room with 10 bulbs. e. The number of points scored during a basketball game.

a) Discrete

b) Continuous

c) Continuous

d) Discrete

e)Discrete

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

a. The number of people in a restaurant that has a capacity of 100.

You cannot have half a person, for example.

The possible number of people in the restaurant are 0, 1, 2,..., 100. So this variable is discrete.

b. The height of a randomly selected giraffe.

The giraffe can have half a meter, for example. That is, the height can be a decimal number. So this variable is continuous

c. The square footage of a house.

You can have half a square, for example. So this variable is continuous.

d. The number of light bulbs that burn out in the next week in a room with 10 bulbs.

Possible values: 0 bulbs, 1 bulb, ..., 10 bulbs

Only countable values.

So discrete

e. The number of points scored during a basketball game.

0 points, 1 point, 2 points, 10 points, ...

There are no half points in basketball.

So discrete

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have