Answer:
m = -1/3
Step-by-step explanation:
There are two ways that you can use to get this answer.
The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.
The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.
I hope this helped :)
No, 1/8 is smaller because 2/10 is equivalent to 1/5 and 1/5 is larger than 1/8.
Hey there :)
The volume formula of a cylinder is:
V =

r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =

r²(18)

=

r²
536 =

r²

= r²

= r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is
2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =

(6.53)²(9)
= 1206 in³
Answer:

And using the cdf we got:

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:

And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

We know the variance on this case given by :

So then the deviation is given by:

And if we solve for
we got:

The cumulative distribution function for the exponential distribution is given by:

Solution to the problem
And for this case we want to find this probability:

And using the cdf we got:
