Given: σ = ⎡ ⎣ 10 12 13 12 11 15 13 15 20 ⎤ ⎦ MPa at a point. What is the force per unit area at this point acting normal to the surface with unit normal vector n = (1/ √ 2)ex + (1/ √ 2)ez? Are there any shear stresses acting on this surface?

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.