Answer:
see explanation
Step-by-step explanation:
Given A is directly proportional to r² then the equation relating them is
A = kr² ← k is the constant of proportion
To find k use the condition when r = 5, A = 75 , then
75 = k × 5² = 25k ( divide both sides by 25 )
3 = k
A = 3r² ← equation of proportion
(a)
when r = 4, then
A = 3 × 4² = 3 × 16 = 48
(b)
when A = 147 , then
147 = 3r² ( divide both sides by 3 )
49 = r² ( take the square root of both sides )
r = = 7
Answer:
Check the explanation
Step-by-step explanation:
:proportion of male smoker lung deaths is same for the four given tar level categories.
:proportion of male smoker lung deaths is not the same for the four given tar level categories.
Expected frequency=1177/4=294.25
Tar level Observed Freq.(O) Expected Freq.(E) (O-E)^2/E
0-7 107 294.25 120.435
8-14 375 294.25 5.643
15-21 553 294.25 227.533
>=22 183 294.25 42.061
Total= 1177 1177 395.673
Total chi square score=395.673
df=4-1=3
p-value=CHIDIST(395.673,3)<0.001
p-value<0.001,Reject null hypothesis.
There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.