Answer:
The volume of the cylinder is 2002 square units.
Step-by-step explanation:
It is given that,
Height of the cylinder, h = 13 units
Radius of the cylinder, r = 7 units
We need to find the volume of the cylinder. The formula of the volume of cylinder is given by :

So, the volume of the cylinder is 2002 square units.
Y = e^tanx - 2
To find at which point it crosses x axis we state that y= 0
e^tanx - 2 = 0
e^tanx = 2
tanx = ln 2
tanx = 0.69314
x = 0.6061
to find slope at that point first we need to find first derivative of funtion y.
y' = (e^tanx)*1/cos^2(x)
now we express x = 0.6061 in y' and we get:
y' = k = 2,9599
Answer:
Step-by-step explanation:
From the given information:
the mean 
= 2300
Standard deviation = 
Standard deviation (SD) = 214.4761
TO find:
a) 



From the Z-table, since 5.595 is > 3.999

P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean 
= 0.25
Replacement time for the Standard deviation 

For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation = 
= 
= 
= 
= 
= 214.482
Now; the required probability:




From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001
Answer:
the y-intercept of Function A is less than the y- intercept of Function B
Step-by-step explanation:
first, identify each coordinate that has instegers only
(x, y)
function A y-int: (0, -86)
function B y-int: (0, -4)