Araffle is being held to benefit the local animal shelter. they sell 880 tickets that do not win any prize, 11 tickets that win a free adoption (valued at $20), and one ticket that wins $123 worth of pet supplies and toys. if they are selling the tickets for $5 each, how much should the shelter expect to earn for each ticket sold?
round to the nearest cent, as needed.

$4.61 ⇒ this much amount expect to earn

Step-by-step explanation:

Given that,

Total number of tickets that do not have prize = 880

Tickets that win a free adoption (valued at $20) = 11

Ticket that wins $123 worth of pet supplies and toys = 1

So, total ticket sold = 880 + 11 + 1

                                = 892

Probability of tickets that not getting any prize =

Probability of tickets that win a free adoption =

Probability of tickets that wins $123 worth of pet supplies and toys =

Ticket value for no prize = $5

Ticket value that win a free adoption = -$20 + $5 = -$15

Ticket value that wins $123 worth of pet supplies and toys = -$123 + $5 = -$118

Expected return for each ticket = Σ(probability)(value of ticket)

 =  

=

= $4.61 ⇒ this much amount expect to earn.

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: