A satellite dish has cross-sections shaped like parabolas. The receiver is located 13 inches from the base along the axis of symmetry. If the satellite dish is 26 inches across at the opening, what is its depth in inches? (Round your answer to the nearest tenth if necessary.)

What two criteria are needed for triangles to be similar

The number of nails of a given length is normally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 in. find the number of nails in a bag of 120 that are less than 4.94 in. long.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.