Maximize p = 6x + 9y + 3.3z + 12w subject to

(a) 1.2x + y + z + w ≤ 121.5

(b) 2.2x + y − z − w ≥ 30

(c) 1.2x + y + z + 1.2w ≥ 31.5

(d) x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.

Round all answers to two decimal places.

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

Can someone me with this problem i don't understand i need

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3