Answer:
blue one (c), not independent because P(A|B) ≠ P(A)
Step-by-step explanation:
Two events are independent of each other if you can mulitply them to get their intersection
To find the conditonal probability of two independent events you can use the following idea/formula
P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)
Now with the numbers we're given let's find P(A|B)
.24/.9= .26666666666667
Because this is not equal to .3 (or P(A)) the answer must be the blue one
Answer:
Total amount of tickets is 48
Step-by-step explanation:
<u>Step 1: Determine the amount of tickets they solid in all</u>
We see that the movie theater has a ratio of 4 adult tickets for every children ticket which means that wen a child purchases a ticket there are 2 adult tickets that come along.
32 adult tickets / (2 adult tickets per child)
16 children tickets
<em>Total tickets: </em> 32 adult tickets + 16 children tickets = 48 tickets
Answer: Total amount of tickets is 48
Answer:
x = 7 / 2, y = - 5 / 2
Step-by-step explanation:
3x + y = 8 ------> equation 1
3 ( 3x + y = 8 )
9x + 3y = 24 ------> equation 2
x - 3y = 11 ------> equation 3
Add equations 2 & 3,
9x + 3y = 24
x - 3y = 11
_________
10x + 0 = 35
10x = 35
x = 35 / 10
x = 3.5
Substitute x = 3.5 in equation 1,
3x + y = 8
3 ( 3.5 ) + y = 8
10.5 + y = 8
y = 8 - 10.5
y = - 2.5
x = 3.5
= 35 / 10
x = 7 / 2
y = - 2.5
= - 25 / 10
y = - 5 / 2
Answer:
I believe it's 2x²-8x + 1
Step-by-step explanation:
Combine like terms
2x²- 3x - 5x + 1
2x²- 8x + 1
