Engineers must consider the breadths of male heads when designing motorcylces helmets. men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. the safeguard helmet company plans an initial production run of 100 helmets. find the probability that 100 randomly selected men have mean head breadth less than 6.2 inches

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.