Answer:
6.2832 square units (rounded off to four decimal values)
Step-by-step explanation:
Area of a semicircle = × π × r²
r (radius) = 2 units
For our semicircle the area = × π × 2² = 6.28318530718 square units
Or 6.2832 square units (rounded off to four decimal values)
Answer:
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
Step-by-step explanation:
We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.
We have the following proportion:
So we get that 13.9% of men smoke.
We have the following proportion:
So we get that 9.5% of women smoke.
We get: 13.9%-9.5%=4.4%.
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
Answer:
The first and second iteration of Newton's Method are 3 and .
Step-by-step explanation:
The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form based on the following formula:
Where:
- i-th Approximation, dimensionless.
- (i+1)-th Approximation, dimensionless.
- Function evaluated at i-th Approximation, dimensionless.
- First derivative evaluated at (i+1)-th Approximation, dimensionless.
Let be and
, the resultant expression is:
First iteration: ()
Second iteration: ()