Answer:
(1, π/3 +2kπ), (-1, 4π/3 +2kπ) . . . where k is any integer
Step-by-step explanation:
Adding any multiple of 2π to the angle results in the same point in polar coordinates.
Adding 180° (π radians) to the point effectively negates the magnitude. As above, adding any multiple of 2π to this representation is also the same point in polar coordinates.
There are an infinite number of ways the coordinates can be written.
Answer:
No
Step-by-step explanation:
Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
The 95% confidence interval for the population mean is between $140.89 and $159.11.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89
The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11
The 95% confidence interval for the population mean is between $140.89 and $159.11.
Answer:
x+27 ≤ 40
You cannot buy more than 13
If you buy 15 they will not fit
Step-by-step explanation:
To determine the number of CD's that will still fit
The number of CD's must be less than or equal to 40
You already have 27.
Let x be the number you are going to buy
x+27 ≤ 40
Subtract 27 from each side
x+27-27 ≤ 40
x ≤ 13
You cannot buy more than 13
If you buy 15 they will not fit
Answer:
3
Step-by-step explanation:
if 1+1=2
than 2+1=3..
hope it is helpful