Given:
The point (9,-12) is on terminal side of angle theta in standard position.
To find:
The exact value of each of the six trigonometric functions of theta.
Solution:
The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.
We know that,
Now,
Therefore, the values of six trigonometric functions of theta are .
Answer:
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
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 .
That is z with a pvalue of , so Z = 2.575.
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 696.58 - 7.28 = 689.3 pieces
The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.