Answer: 
Step-by-step explanation:
Confidence interval for population mean is given by :-
, where 
= two -tailed z-value for 
(significance level)
n= sample size .
= Population standard deviation.
= Sample mean
By considering the given information , we have
n= 20
Using z-value table ,
Two-tailed Critical z-value : 
The 99 percent two-sided confidence interval for the mean nicotine content of a cigarette will be :-
Hence, the 99 percent two-sided confidence interval for the mean nicotine content of a cigarette:
First find the smallest value
You would need the smallest y value and the greatest x value
y = 10, x = 7
Therefore 10/7 would be the smallest
Now find the greatest
You would need the largest y value and the smallest x value
Y = 12, x = 6
Therefore 12/6 or 2 would be the largest
Solution: 10/7 < y/x < 2
Answer:
-5/42
Step-by-step explanation:
The coordinates to the second spot can be represented by the coordinates
(-12 + 3, 8 -11)
Since we are going 3 yards to the east we would be affecting the x-axis and since we are going east we will need to add 3 yards the x axis of the first spot
11 yards south would be affecting the y- axis negatively. We would need to subtract 11 from the y- axis of the first spot.
the coordinates of the second spot would be
-12 +3 = -9
8 -11 = -3
(-9, -3)
<h3>Answer: B. 154 square meters</h3>
================================
Work Shown:
C = 44 is the circumference
in general, the circumference of a circle is
C = 2*pi*r
Plug in C = 44 and solve for r.
C = 2*pi*r
44 = 2*pi*r
2*pi*r = 44
r = 44/(2pi)
r = 7.0028175 which is approximate
--------------------
Now plug this into the formula for the area of a circle
A = pi*r^2
A = pi*(7.0028175)^2
A = 154.061985
A = 154 rounding to the nearest whole number
