Answer: option 1.
Explanation:
feasible region is that region which is formed by the lines of constraints.
feasible region is shaded in the attached graph
inequalities becomes equalities to draw the graph
and lines will head towards the origin if constraint satisfied by putting x= 0, y=0
and on the contrary lines will move away from origin when condition of constraint does not satisfied.
To solve this question, you just need to count all the probability of the options.
The probability that a pitch not over the plate is a strike is zero. So, P(A | D) = 0.
True. It is 0/0+20= 0
The probability that a pitch not over the plate is a ball is 1. So, P(B | D) = 1.
True, it is 20/20+0= 1
The probability that a pitch over the plate is a strike is 10:15. So, ...
Incomplete but it sounds to be true. It should be 10/10+5= 10/15 = 2/3
The probability that a pitch over the plate is a ball is 5:10. So, P(B | C) = 0.5.
Prime factorization of 1728 is 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
Simplifying the above expression: 26 × 33
Simplifying further: 123
Therefore, the cube root of 1728 by prime factorization is (2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)1/3 = 12
