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:
0.125 or 1/8
Step-by-step explanation:
2^3 +2^-3= (2*2*2) + (1/(2*2*2))= 8 + 1/8= 8 + 0.125= 8.125
4^3 +1= (4*4*4) + 1= 64 + 1= 65
8.125/65= 0.125 or 1/8
h (x) = 5x + 2
h(8)=5(8)+2
=40+2
=42
Therefore, for an input of 8, we have an output of 42.
Since it's literally cut in half, that means the triangle's area is literally half of the rectangle's area. Therefore, if we write it as
the triangle's area (a)=(1/2)*(b) (the rectangle's area) we can multiply 2 to both sides to get 2*a=b. Since a is (2x+10), we can plug it in and use the distributive property (since we just can't add up variables and integers) to get
2*(2x+10)=4x+20=b
