Answer:
The estimation answer is about 6
The answer that is not estimated is 5 8/9
None of the answers in the picture are the correct answer.
y > -2
y >= 2/3x -4
would be the correct answer here.
The reasoning is both the equations should have (3,2) as a possible solution.
For the first inequality y has to greater than -2 because the given point has 2 as the y coordinate.
also putting (3,2) in y = 2/3x - 4, we observe that the equation becomes 2 = -2. So there must be a >= sign in the second inequality.
Answer:
perimeter of the garden=2(length+width)
=2(7√13+√13)
=2(8√13)
=16√13
Answer:
P{W>0}=0.5
P{W=0}=0.25
E{W}=0
Step-by-step explanation:
<u>Given:</u>
Gambles are independent i.e. each player is equally likely to win or lose 1 unit. OR each player has equal probability to win or lose 1 unit.
Let W denote the net winnings of a gambler whose strategy is to stop gambling immediately after his first win.
Then
<u>A.P{W>0}=?</u>
P{W>0}=0.5, because each player is equally likely to win or lose on first gamble. i.e there is equal chances for winning or losing on the first gamble.
<u>B.P{W<0}=?</u>
for P{W<0} we need to find P{W=0} first as;
P{W=0}=0.25
As there is equal probability to win or lose, after first win, if you want to finish gamble with no profit (equal number of lose and win) then if you losing, you have equal probability to win or lose so to finish your game with P=0 your probability is 0.25 (half of 0.5)
P{W<0} means net lose which is equal to total probability minus probability of profit and probability of net profit equal to zero.
i.e. P{W<0}=1-P{W=0}-P{W>0}
P{W<0}=1-0.25-0.5=0.25
<u>C.E{W}=?</u>
E{W}=P{W>0}*{W>0}+P{W<0}*{W<0}+P{W=0}*{W=0}
E{W}=0.5*(1)+0.5(-1)+0.25*(0) (for any value of W,P{W>0}*{W>0}+P{W<0}*{W<0}=0, because sum of same positive and negative numbers is zero)
E{W}=0
Answer:
a = c/(d - r)
Step-by-step explanation:
Multiply both sides by a
(c/a)a = (d - r)*a Notice how this is written. You need to introduce brackets on the right because both d and r are multiplied by a.
c = (d - r)*a
Divide both sides by (d - r)
c/(d - r) = a*(d - r)/(d - r)
c/(d - r) = a