The answer is y=-1/2x + 5/8
Answer:
2*10^-1
Step-by-step explanation:
U shud know y
The answer to your question is 13<2/3
Answer:
I= 84
Step-by-step explanation:
for
![I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{}_{} \int\limits^{}_D {x*y} \, dx*dy](https://tex.z-dn.net/?f=I%3D%5Cint%5Climits%5E%7B%7D_%7B%7D%20%5Cint%5Climits%5E%7B%7D_D%20%7Bx%2Ay%7D%20%20%5C%2C%20dA%20%3D%20%20%5Cint%5Climits%5E%7B%7D_%7B%7D%20%5Cint%5Climits%5E%7B%7D_D%20%7Bx%2Ay%7D%20%20%5C%2C%20dx%2Ady)
since D is the rectangle such that 0<x<3 , 0<y<3
![I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y} \, dx*dy = \int\limits^{3}_{0} {x} \, dx\int\limits^{3}_{0} {y} \, dy = x^{2} /2*y^{2} /2 = (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4](https://tex.z-dn.net/?f=I%3D%5Cint%5Climits%5E%7B%7D_%7B%7D%20%5Cint%5Climits%5E%7B%7D_D%20%7Bx%2Ay%7D%20%20%5C%2C%20dA%20%3D%20%20%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%7Bx%2Ay%7D%20%20%5C%2C%20dx%2Ady%20%3D%20%20%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%7Bx%7D%20%20%5C%2C%20dx%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%7By%7D%20%20%5C%2C%20dy%20%20%3D%20x%5E%7B2%7D%20%2F2%2Ay%5E%7B2%7D%20%2F2%20%3D%20%20%283%5E%7B2%7D%20%2F2%20-%200%5E%7B2%7D%20%2F2%29%2A%20%283%5E%7B2%7D%20%2F2%20-%200%5E%7B2%7D%20%2F2%29%20%3D%203%5E%7B4%7D%20%2F4%20%3D%2081%2F4)
I used a Venn Diagram which I attached.
Think of it as a flower and work your way from the center out to the doubles (two kinds of coffee) and finally the singles (only one kind of coffee)
I place 4 in the center to represent the people that like all three.
Then I put 8 in the Latte Espresso group since they along with the 4 who like all three, make up the 12 who like lattes and espresso. I put 4 in the Latte & Cappuccino group since they and the 4 who like all coffees, make up the 8 who like lattes and cappuccinos. And then I put 5 in the Espresso Cappuccino group who along with the 4 in the middle make up the 9 who like both of those.
In all 20 like lattes and my latte circle already has 16 so I added 4 (who only like lattes). 22 like espresso and I have accounted for 17 (8+4+5) so that means there are 5 who only like espresso. Finally out of the 17 who like cappuccinos, 13 are already accounted for so I will add 4 who like only cappuccinos.
Since there are 50 people and I can account for 34 of them (add all the numbers in all three circles), there must be 50-34 people who don't like any. The correct answer is
d.16