A ladder that has a length of 13 meters leans against a wall. The ladder meets the wall 12 meters above the ground. What is the distance of the ground between the base of the ladder and the wall? Word problems on Pythagorean Theorem | Application of Pythagoras Theorem

12 m
12 m

8 m
8 m

5.2 m
5.2 m

5 m

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.

Stephen thublin invests $1,000,000 in a 45-day certificate of deposit with 6.55% interest. what is the total interest income from the investment?

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x