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:
2
Step-by-step explanation:
The first equation is that of a an ellipse. The second equation is that of a line.
Attached is the graphs of both of these equations.
<em>If you think about it, there can only be 2 possible ways of solutions (intersection points) of an ellipse and a line.</em>
<em>1. The line will not intersect the ellipse at all, so no solution</em>
<em>2. The line will intersect the ellipse at 2 points maximum</em>
<em />
So, we can clearly see from the reasoning that the maximum number of possible solutions would be 2. The graph attached confirms this as well.
Answer:
true
Step-by-step explanation:
Answer:
169.6 m³
Step-by-step explanation:
the volume = 3.14 × 3² × 6
= 3.14 × 54 = 169.6 m³