answer:
yes, because they have a common difference and it makes sense. in order to determine if this is a function, you would have to find their difference for each column. the x column has a difference of 2 for all. similarily, the y column has a difference of 2 for all. therefore, it is a function.
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cos 2x – cosx = 0
------------ (1)
where cos2x = 2cos^2x –
1
equation (1) becomes;
<span>2cos^2x – 1 – cosx = 0 ------------ (2)</span>
Suppose cosx = y, then
equation (2) becomes;
2y^2 – 1 – y = 0
By factorization method;
(2y + 1) x (y – 1) = 0
Where 2y + 1 = 0 or y –
1 = 0
So solving both;
y = -1/2 or 1
As y = cosx
So cosx = -1/2 or 1
The above equation is true only for x = 2/3π, 0, 4/3 π
<span>The solution were find out for interval [0,2 π),
where 2 π is not included in the interval, as the interval is not a closed on
the right side.</span>
C, Sierra can not sell a negative number of bags of flavored popcorn ; therefore the solution is not viable for the given situation
The margin of error is 1.41.
The margin of error is calculated using the formula
where z is the z-score associated with the confidence level, σ is the standard deviation, and n is the sample size.
For a confidence level of 95%, we find the z-score by first converting the percent to a decimal and subtracting it from 1:
1 - 0.95 = 0.05
Divide that by 2:
0.05/2 = 0.025
This is the area in each tail.
Subtract this from 1 again, since we want the area between the tails:
1 - 0.025 = 0.975
Looking this up in the z-table (http://www.z-table.com) we see that the z-score is 1.96.
Using our information, we have:
5.5 hrs to make 1265 posters because 1265 / 230 = 5.5, which means the answer is 5.5hrs