Answer:
Step-by-step explanation:
I hate you
The <u>correct answer</u> is:
0.14.
Explanation:
We are asked "Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office?"
Using the conditional relative frequency table, we start at the column "More than $30". We then go to the row "Purchased at the Box Office." The value in this cell is 0.14; this is the probability.
T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
