Explanation:

The intensity of the earthquake is measured on the Mercalli scale: This statement is correct. The Mercalli Intensity Scale measures the intensity or effects of an earthquake at specific locations. It is a subjective scale based on observed damage and human experiences.

The magnitude of an earthquake is a measure of energy released: This statement is correct. The magnitude of an earthquake is a measure of the energy released at the source. It is typically determined using seismographs and is represented by a single value on scales such as the Richter scale or moment magnitude scale.

Earthquake magnitudes are based on direct measurements of the amplitude of seismic waves: This statement is correct. Magnitudes are often determined by measuring the amplitude of seismic waves generated by an earthquake. The Richter scale, for example, uses the amplitude of seismic waves recorded on seismographs.

In the Richter scale, each whole number demonstrates a hundredfold increase in the amount of energy released: This statement is not correct In the Richter scale, each whole number increase represents a tenfold increase in amplitude and approximately 31.6 times more energy release, not a hundredfold.