The owner of a coffee shop collected receipts from all orders placed during a one hour period. For each receipt, the owner recorded the payment method used and if the receipt was $20 or less or more than $20. The following table shows the frequencies of the results. Payment Method Total Phone App Cash Credit/Debit Card 8 10 10 Receipt of $20 or less 15 25 32 Receipt of more than $20 100 Total If a receipt collected during the one hour period is to be selected at random, what is the probability that the receipt was paid with cash? Enter your answer as a value between 0 and 1 rounded to two decimal places

Hi! unfortunatly I'm not good at math BUT I would suggest to copy this question and paste on google. Sometimes it gives you the answers. If not then, I'm really sorry! have a good day :)

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

ou would have 12 of each