Let's set up an inequality. t will equal the amount of hours.
123.80 [greater than or equal to] 47 + 9.60t
After isolating t, your answer is t less than or equal to 8. So they can rent the meeting room for at most 8 hours.
Answer:
a) 0.0821
b) 0.0111
c) 0.0041
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

In all 3 cases, we want P(X > 5). So

In which

(a) lambda=.5


(b) lambda=0.9


(c) lambda=1.1


29-4 = 25
29+4 = 33
So, from 25 to 33 minutes.
Supplementary angles add up to 180 degrees more than the other, you can formulate an equation 180=(100+x)+x80=2x so, x=40 the other angle is 100 degrees more. So, the angle lengths are 40 and 140 degrees.