Answer:
option A, C and D
Step-by-step explanation:
Each relation is a function if each input has only one output
{a, 1), (6, 1), (C, 1)
This relation is a function because each input has only one output
{a, a),(a, b),(a, c)}
This relation is not a function because input 'a' has only three output
{(1, a), (2, a),(3, a)}
This relation is a function because each input has only one output
{a, a), (b, b), (C, c)}
This relation is a function because each input has only one output
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: 3
Step-by-step explanation: 72 divided by 24 is 3
Can you type the question. I can’t load your imagine I’m happy to help. :)
<span>Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that
Answer: Angle (B) is Congruent to Angle (C)
Hope it helps
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