Answer:

Step-by-step explanation:
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:

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

We have an important property on the exponential distribution called "Memoryless" property and says this:

Where a represent a shift and t the time of interest.
On this case then 
We can use the definition of the density function and find this probability:


![=[lim_{x\to\infty} (-e^{-\frac{1}{8}x})+e^{-1}]=0+e^{-1}=e^{-1}](https://tex.z-dn.net/?f=%3D%5Blim_%7Bx%5Cto%5Cinfty%7D%20%28-e%5E%7B-%5Cfrac%7B1%7D%7B8%7Dx%7D%29%2Be%5E%7B-1%7D%5D%3D0%2Be%5E%7B-1%7D%3De%5E%7B-1%7D)
Set up the equation as follows:

150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.
Subtract 100x from both sides.

Divide both sides by 50.

It will take the dog 4 minutes to catch up with the squirrel.
37. Volume: l×w×h
38. Volume: (pi)r^2×h
39. Volume: (1/2b×h)×l
37. l=4
w=4
h=6
4×4×6
16×6= 96ft^3
38. (pi)=3.14
r=5
h=12
(3.14×5^2)×12
(3.14×25)×12
78.5×12= 942in^3
38. b=4
h=3
l=8
(1/2×3×4)×8
(1/2×12)×8
6×8= 48