Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
Answer:
8/5 < x < 12/5
Step-by-step explanation:
(2 - x)² < 4/25
2 - x < ±2/5
2 - x < 2/5
-x < -8/5
x > 8/5
2 - x > -2/5
-x > -12/5
x < 12/5
Therefore, your answer is 8/5 < x < 12/5
Dameon's answer should be closer to $0.40 as the real cost is $3.88 per rubber pad
You can find this by $465.60 by 120
The volume of a shape is the amount of space in it.
<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>
The given parameter is:
---- length of the cube
So, the volume of the cube is:



The volume of the cylinder is:

The diameter (d) of the cylinder equals the length of the cube.
This means that:


Divide by 2 to calculate the radius of the cylinder


Also, the height of the cube is::


So, we have:





So, the volume (V) outside the cylinder is:



Hence, the volume outside the cylinder is 214.6 cubic inches
Read more about volumes at:
brainly.com/question/15861918
Answer:
D
Step-by-step explanation: