The answer is 509 metres.
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The general equation of a horizontal ellipse is
(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.
If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,
2b = 16
b = 8
b^2 = 64
The distance between the two foci is 2c. Thus,
2c = 12
c = 6
c^2 = 36
Then, a2 = 64 + 36 = 100. Substituting to the general equation:
x^2/100 + y^2/64 = 1
Answer: 531 inches
Step-by-step explanation:
Answer:
the standard error of the proportion is 0.0272
Step-by-step explanation:
We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error
:
fpc = 
We know that N = 250 n = 91, replacing:
fpc = 
fpc = 0.799
Now, the formula would then be:
SE = 
*fpc
Now replacing, knowing that p = 0.12
SE= 
*0.799
SE = 0.0272
So the standard error of the proportion is 0.0272
The problem on the left is going to be 1 tens and 8 ones, so 18.
The problem on the right is going to be 2 tens and 9 ones, so 29.
