The answer is 28 for the volume
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:
A. 0.020
Step-by-step explanation:
we calculate the standard error of the sample mean with the formula,
,
with E= standard error of the sample mean
s= standard deviation
n= sample
So,
s= 0.2
n= 100

X + x + x + x + 2 + 2 = 24 Length: (x + 2) = 5 + 2 = 7 inches
4x + 4 = 24 Width: (x) = 5 inches
-4 -4
4x = 20
divide by 4 on both sides
x = 5