Three dogs pull on a bone. Dog A pulls north with a force of 10 N and dog B pulls south-east with a force of 20 N.

(a) Draw a parallelogram of forces from dog A and dog B.

The weights of bags filled by a machine are normally distributed with a standard deviation of 0.05 kilograms and a mean that can be set by the operator. at what level should the mean weight be set if it required that only 1% of the bags weigh less than 9.5 kilograms? round the answer to 2 decimal places.