The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
Option C:

Solution:
Given expression: 2 ln 8 + 2 ln y
Applying log rule
in the above expression.
⇒ 
Applying log rule
in the above expression.
⇒ 
We know that 
⇒
Hence, the expression in single natural logarithm is
.
Do the following:
$8.40-$7.15=$1.25
Then divide 1.25 by the difference of tickets which is 3
1.25/3=0.42 (that's rounded to nearest cent)
8 feedings because she recorded it two times and giant humming Bird fed it 4x so 4×2=8