Answer:
x=32
Step-by-step explanation:
Plug 10 into the second equation
10=1/2x-6
16=1/2x
16*2=x
x=32
Answer:
$400
OR 
Step-by-step explanation:
$400 stays the same, 72 cents is 72/100. Simplify and voila
Answer:i think it may be 526.25
Step-by-step explanation:
Answer:

Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
Solution to the problem
For this case the time between breakdowns representing our random variable T is exponentially distirbuted 
So on this case we can find the value of
like this:

So then our density function would be given by:
The exponential distribution is useful when we want to describe the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time between two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:
And on this case we are looking for this probability:
