How is miscible different from immiscible

What is the difference between mixing and dissolving in chemistry?

When mixing, several substances are mixed with one another without being so finely distributed that they are present as individual molecules in the solvent (molecularly dispersed), but rather as droplets (water in hexanol) or small particles (sand in water) or even particles below other particles (sand and coal).

When dissolving, on the other hand, the dissolved substances are molecularly disperse. So every molecule of the dissolved substance is surrounded by solvent molecules and only after a certain distance does another molecule come back - such a solution is actually no different from a mixture, since the molecules are not changed. Salts (you haven't written anything about them), on the other hand, disintegrate into ions in solvents, but not when mixed, the crystals remain intact.

Regarding the alcohols: Hexane is quite non-polar and therefore does not dissolve in water, as you have already said. It dissolves in oil, as you apparently also know. Accordingly, oil should be non-polar, which is also true.

Pentanol is also non-polar. It can be used as a solvent for non-polar substances. For polar substances, water is usually used as the solvent and it is actually rarely called a solvent. But if you want to dissolve oil or tar or something else that is non-polar, you could use pentanol (but this is rarely done because it is relatively toxic and doesn't smell good either)

Now it gets a bit strange: "Miscible" for liquids can be used synonymously with soluble. Sometimes you will find the statement that ethanol is infinitely miscible with water - but actually it is dissolved in water. On the other hand, you can mix water and hexanol (which is not completely insoluble either, but just very bad, approx. 6g = 6 per thousand hexanol dissolve in one liter of water), but hardly dissolve. However, a mixture of hexanol and water is not stable. The small droplets will come together over time and form 2 phases: a water phase and a hexanol phase.