Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that 90% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 370 manufacturing firms is selected, and only 34 of them offer child-care benefits. Test the union's claim at the 0.05 level of significance.

For each sentence below, find the value of x that makes each sentence true. (515) 5 = 25* x= (813)2 = 4* x=

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.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.