Match these terms with their descriptions. 1. a portion of a large group random sample 2. choosing a sample so that every member has an equal chance of being chosen estimating from a sample 3. choosing a sample from people who are under 15 years old sample 4. using the responses of a small group to make conclusions about the large group. biased sample random sample estimating from a sample sample biased sample

The correct matches are-

1. a portion of a large group - Sample

Sample is a part of population, considered for surveys.

2. choosing a sample so that every member has an equal chance of being chosen - Random sample

Random sample is non biased way of sampling where each member has equal chances of participating in the survey.

3. choosing a sample from people who are under 15 years old - Biased sample

Biased samples produce biased results. These are based on specific criteria and are not random.

4. using the responses of a small group to make conclusions about the large group - Estimating from a sample

Estimations are rough conclusions made from collecting responses.

Circle K has a greater area and it is higher than circle J by 500.045 square centimeter

Solution:

The area of circle is given as:

Where "r" is the radius of circle

Also, Radius is given by:

Given that,

Diameter of circle J is 18 cm

Therefore,

Substitute r = 9 in area formula

Thus area of circle J is 254.34 square centimeter

Diameter of Circle K is 31 cm

Substitute r = 15.5 in area formula

Thus area of circle K is 754.385 square centimeter

On comparing the area of circle J and circle K, we find the area of circle K to be higher

Area of circle K - Area of circle J = 754.385 - 254.34 = 500.045

Thus circle K has a greater area and it is higher than circle J by 500.045 square centimeter