Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.
2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.
3. True. Geometric constructions are crafted using a compass and straightedge.
4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.
The answer with the work has been provided previously.
The result is 3.6y. By multiplying 0.3 by 12, we arrive at 3.6, and we include the variable y.
Answer:
We have the following details:
Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:

The margin of error is mentioned in the question as:

Since we lack information about the previous proportion, we need to assume
.
Therefore, the required sample size is:




Thus, it requires 664 sample observations.
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.