Answer:
A 2 by 2 inch square has an area of 4 square inches.
If its area is increased by 21 inches, then its area equals 25 square inches.
To find the length of the side we take the square root of 25 square inches which is 5 inches.
Step-by-step explanation:
Answer:
The range is: 13. The population mean is: 8.5. The population variance is: 15.85. The population standard deviation is: 3.9812.
Step-by-step explanation:
The range: 15 - 2 = 13
The population mean is:
Mean = ( 2 + 9 + 15 + 5 + 14 + 8 + 11 + 7 + 4 + 10 ) / 10 = 8.5
The population variance ( S² or Sigma² ):
S ² = 1/10 · ( ( 2 - 8.5 )² + ( 9 - 8.5 )² + ( 15 - 8.5 )² + ( 5 - 8.5 )² + ( 14 - 8.5 )² + ( 8 - 8.5 )² + ( 11 - 8.5 )² + ( 7 - 8.5 )² + ( 4 - 8.5 )² + ( 10 - 8.5 )² )
S ² = 15.85
The population standard deviation:
S = √(S²) = √15.85 = 3.9812
64 of the 320 students do not like sports
80% of 320 is 256
Therefore 20% is 64
The answer would be B. -2 < x < 2 because if you look at the graph, the range would be left and right. So, the farthest to the left would be -2 and the farthest to the right would be 2.
It wouldn't be all real numbers.
<em>Hope this helps! - from peachimin</em>
The volume of the sphere is:
V = 4 / 3πr ^ 3
Deriving we have:
V '= (3) (4/3) (π) (r ^ 2) (r')
From here, we clear the value of r ':
r '= (V') / ((4) (π) (r ^ 2))
Substituting values:
r '= (2π) / ((4) (π) ((5) ^ 2))
r '= (2π) / ((4) (π) (25))
r '= (2π) / (100π)
r '= 1/50
Then, the surface area of the sphere is:
A = 4πr ^ 2
Deriving we have:
A '= 8πrr'
Substituting values:
A '= 8π (5) (1/50)
Rewriting:
A '= (40/50) π
A '= (8/10) π
A '= (4/5) π
Answer:
The surface area of the sphere is decreasing at:
(A) 4pi / 5
