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It will be accurate at any range- however, I think you mean at what range will the point of aim and point of impact be the same. It will vary depending on the cartridge you use, barrel length, and scope height- BUT- assuming an average 30-06 load, with a scoped rifle, a 35 yard zero will have point of impact meeting point of aim at ABOUT 200 yards.
to have a goal and to aim for something
The answer depends on the value of the new point. If the new value is near the mean then the new standard deviation (SD) will be smaller, if it is far away, the new SD will be larger.
'aimer' means both 'to like' or 'to love' in French.
To point or direct a missile weapon, or a weapon which propels as missile, towards an object or spot with the intent of hitting it; as, to aim at a fox, or at a target., To direct the indention or purpose; to attempt the accomplishment of a purpose; to try to gain; to endeavor; -- followed by at, or by an infinitive; as, to aim at distinction; to aim to do well., To guess or conjecture., To direct or point, as a weapon, at a particular object; to direct, as a missile, an act, or a proceeding, at, to, or against an object; as, to aim a musket or an arrow, the fist or a blow (at something); to aim a satire or a reflection (at some person or vice)., The pointing of a weapon, as a gun, a dart, or an arrow, in the line of direction with the object intended to be struck; the line of fire; the direction of anything, as a spear, a blow, a discourse, a remark, towards a particular point or object, with a view to strike or affect it., The point intended to be hit, or object intended to be attained or affected., Intention; purpose; design; scheme., Conjecture; guess.