The following table shows the joint distribution of random variables X and Y . Y=1 Y=2 Y=3 Y=4 X=1 0.04 0.03 0.02 0.01 X=2 0.08 0.06 0.04 0.02 X=3 0.12 0.09 0.06 0.03 X=4 0.16 0.12 0.08 0.04 Which of the following statements about the random variables X and Y is correct?

Afarm grows soybean and produces chickens. the opportunity cost of producing each of these products increases as more of it is produced. draw the? farm's ppf. label it ppf0. the farm adopts a new technology which allows it to use fewer resources to fatten chickens. draw a ppf that illustrates the impact of the new technology. label it ppf1.

Recycled water is best used for a) drinking b) bathing c) lawns d) dishes e) laundry

I’ll be a junior in high school next year and i’m aiming for top colleges like northwestern university, princeton, stanford, etc. i’m worried my schedule for next year isn’t challenging enough in the eyes of top colleges. my courses next year are: ap english lit, ap psychology, english 3 hn, pre-calculus hn, us history (only offered at an average level or ap which is a 2 semester course), physics (same reasoning as us history), students in action (a class centered around volunteer work), and creative writing (i want to major in creative writing or literature). is this a “challenging” junior year? i’m on the varsity swim team and i have a part-time job so i don’t want to overwork myself. i also have limited space in my schedule and can’t take both ap us history and ap physics (both are 2 semesters). i can always take ap biology (2 semester class) and get rid of both physics and us history altogether (i’d rather take ap bio than ap physics and i can easily take physics senior year) but i’d have to take us history online because it’s a required junior class. it all comes back around to i need us history no matter what.