(5,7) is the answer to the question, you can also use (-1,-5)
1. So first of all we have to divide the 3 fractions into decimals to get a decimal to compare. So 5/6 is the same as 5 divided by 6 which is .83 bar and so on...
5/6= .83 bar
1/4= .25
2/3= .66 bar
So 5/6 and 2/3 are closer to one.
2. The two shortest pieces are 2/3 and 1/4 so you se 1/4 + 2/3. Let’s get a common denominator for these fractions. The common denominator is 12. So multiply 1/4 • 3 to get 3/12 and multiply 2/3 by • 4 to get 8/12. Add them together and you get 11/12. So he would need 1/12 more cable or 0.083 bar.
3. Now we have to find a common denominator for all of them. The common denominator is 12 again. Multiply 5/6•2 and then you get 10/12, then add 10/12 +2/12(from 1/4) and then you get leftover with 9/12 or 3/4 more wire.
Answer:
A
Step-by-step explanation:
By completing the square, y = 2x^2 + 2x +1 will be y=2(x+1/2)^2+(1/2) the minimum point is the vertex of the parabola which is (-1/2, 1/2)
Answer:
a. A and B are disjoint
Step-by-step explanation:
We know that P(A and B)=0, It means that event A and event B have nothing in common and it means that event A and event B are disjoints events.
The event A and event B are independent if
P( A and B)= P(A)*P(B)
P(A)*P(B)=0.3*0.2=0.06
So, P(A and B)≠P(A)*P(B)
Hence events A and B are not independent.
Option a is A and B are disjoints which is correct
Option b is A and B are neither disjoints nor independent which is partially false as A and B are disjoints event.
Option c states that A and B are independent which is clearly false.
Option d states that A and B are disjoints and independent which is partially false as A and B are not independent.
Hence the correct option is option A.
