Answer:
40⁰
Step-by-step explanation:
<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>
1.Alternate angles equal
2.Vertically opposite angles are equal
If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰
Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.
There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand
2(i<3u) is the answer to your problem
Answer:
The expected value of the lottery is $80
Step-by-step explanation:
To get the expected value, we have to multiply each outcome by its probability
Then we proceed to add up all of these to get the expected value of the lottery
we have this as ;;
125(0.2) + 100(0.3) + 50(0.5)
= 25 + 30 + 25 = $80
Answer:
Step-by-step explanation:
Given that Poker is a card played with a standard 52 card playing deck. We draw one card at a time without replacement from the top of a shuffled standard poker deck and stop when we draw an ace.
There are 4 aces and 48 non aces.
For randomly drawing card for first card we have probability for drawing ace = 4/52 and non ace = 48/52
X = no of cards we have drawn
If X is the total no of cards drawn, then the event should have been
first x-1 cards non aces, and the last card ace.
Hence P(X)
= Drawing x-1 cards from 48 non aces * drawing one card from remaining 52-(x-1) cards
= 
, x=1,2,.....49
