"incapable of being mixed" (as oil and water are), 1670s, from assimilated form of in- "not, opposite of" (see in- (1)) + miscible, from Latin miscere "to mix" (from PIE root *meik- "to mix").
immigrant
immigrate
immigration
imminence
imminent
immiscible
immitigable
immobile
immobilise
immobility
immobilization