X(u, v) = (2(v - c) / (d - c) + 1)cos(pi * (u - a) / (2b - 2a))
y(u, v) = (2(v - c) / (d - c) + 1)sin(pi * (u - a) / (2b - 2a))
As
v ranges from c to d, 2(v - c) / (d - c) + 1 will range from 1 to 3,
which is the perfect range for the radius. As u ranges from a to b, pi *
(u - a) / (2b - 2a) will range from 0 to pi/2, which is the perfect
range for the angle. So, this maps the rectangle to R.
Answer:
When p2 – 4p is subtracted from p2 + p – 6, the result is:
p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6
To get p – 9, subtract from this result x:
5p-6-x=p-9
Solving for x:
5p-6-x+x-p+9=p-9+x-p+9
4p+3=x
x=4p+3
Answer:
1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6
2) To get p – 9, subtract from this result 4p+3
Step-by-step explanation:
Answer:
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
Step-by-step explanation:
We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.26.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion is (0.192, 0.328).
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.