On a map, the endpoints of a straight fence are located at a(4,12) and b(8,22). lisa plans to install a gate in the fence and wants the gate’s hinges to be the same distance from both ends of the fence. at what point on the map will the gate hinges be placed?

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Acircle has a circumference of 28.36 units what is the diameter of the circle