Answer:
1/32768
Step-by-step explanation:
We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot . Hence:
8*8*8*8*8 =
So there are 32768 different combination.
But correct guess on the first try is just only 1 time, so its' probability:
1/32768
Answer:
Step-by-step explanation:
step 1
Find the slope of the perpendicular line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
(the product of their slopes is equal to -1)
In this problem
we have
The equation of the given line is
so
the slope of the perpendicular line to the given line is
step 2
Find the equation of the line in point slope form
we have
substitute
Convert to slope intercept form
Distribute right side
Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour
At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =
where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:
Putting all the values we get,
Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.