The cables of a suspension bridge are in the shape of a​ parabola, as shown in the figure. The towers supporting the cable are 500 feet apart and 100 feet high. If the cables touch the road surface midway between the​ towers, what is the height of the cable at a point 125 feet from the center of the​ bridge?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie

Abox holds 500 paperclips. after a week on the teacher's desk 239 paperclips remained. how many paperclips were used?