Question

Mr.Epstein placed two-stools in front of the classroom. One had three-legs and the other had four legs. He asked Charlene to sit on each of them. She noticed that the four-legged stol rocked when she sat on it, but the three-legged stool was steady and did not rock. Make a conjecture about why this might have occurred.

Answer 1

To make a conjecture is to form an opinion based on an incomplete piece of information.

A conjecture about what occurred is that the legs of the 3-legged stool are evenly placed while the legs of the 4-legged stool are not.

Given that:

$Stool_1 = 3$ legs

$Stool_2 = 4$ legs

From the question, we understand that Charlene sat firmly on the three-legged stool.

The legs of the 3-legged chair will form a triangle and the edges of a triangle are in the same plane; meaning that the three legs are evenly placed.

So, we can conclude that she was able to sit firmly because the legs of the three-legged are placed evenly.

A 4-legged stool is expected to be firm and stable if the legs are properly placed. Since the 4-legged stool rocked, we can conclude that the legs are not evenly placed.

Hence, a conjecture about what occurred is:

The legs of the 3-legged stool are evenly placed while the legs of the 4-legged stool are not.

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Answer 2

Here, we are required to make a conjecture about why the three-legged stool was steady and did not rock, while the four-legged stool rocked when she sat on it.

A conjecture that can therefore be made about the occurrence in the question is that the 3 legs stool has its legs evenly placed on the classroom ground while the 4 legs stool has its legs unevenly placed on the classroom ground.

First, a conjecture is characterized by making a decision/forming an opinion based on incomplete premises or insufficient information.

A conjecture about the situation is as follows;

• The stool which has four legs rocked because the legs are not evenly placed on the plane of the classroom ground. The major and most probable cause of this situation is unequal length of the four legs of the stool.
• The stool with 3 legs did not rock because it has a well-balanced set of legs on the plane of the classroom ground.

However, it is expected that a stool with four legs be more balanced on the classroom ground under normal circumstances.

• A conjecture that can therefore be made about the occurrence in the question is that the 3 legs stool has its legs evenly placed on the classroom ground while the 4 legs stool has its legs unevenly placed on the classroom ground.

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https://brainly.com/question/24700843