I'd have to say the second option, "<span>Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days"</span>
Step-by-step explanation:
First, you recognize the algorithm for the equation: A=P(1+r)^n. This is the algorithm for interest. P is the amount of initial money (in this case, 6500), r is the interest rate (6%, or 0.06), and n is the number of times it is being compounded. Since half a year is given to me, 6 months is what I will be using, or just 6.
Next, plug in the numbers. The equation is now: A=6500(1+0.06)^6.
Now time to solve. First add what's in the parenthesis, and put it to the power of 6, for 6 months. Then multiply that amount to the initial dollar amount; 6500. This will leave you with 9,220.37.
Answer:
Step-by-step explanation:
The permiter of a rectangle got be determined by the following equation:
P = 2L + 2W
where P is the perimeter, L is the length of the rectangle, and W is the width of the rectangle.
From the problem statement, we know that P = 60, and that the length is twice the width, so we have the following two equations:
60 = 2L + 2W
L = 2W
If we substitute the second equation into the first, we have the following:
60 = 2(2W) + 2W
60 = 4W + 2W
60 = 6W
10 = W
Plugging this value back into the second equation, we have the following:
L = 2W
L = 2(10)
L = 20
The area of a rectangle is determined by the following:
A = LW
where A is the area.
Plugging in the values that we determined previously we give you the answer.
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.
Use ac method
multiply 12 and -56
-672
now find what 2 factors of -672 add to -89
answer is -96 and 7
expand the middle term like that
12x²-96x+7x-56
group
(12x²-96x)+(7x-56)
factor
12x(x-8)+7(x-8)
undistribute the (x-8)
(x-8)(12x+7) is answer