Cos G = 5/12 12/13 5/13 12/5
2 answers:
Answer:
Step-by-step explanation:
First, recall the trigonometric ratios.
- sin(θ)=opposite/hypotenuse
- cos(θ)= adajcent/hypotenuse
- tan(θ)=opposite/adjacent
The question asks us to find the cosine of G. Therefore, we need the adjacent side and the hypotenuse.
- Adjacent: 5 is the side next to angle G (12 is opposite, but we don't need that for cosine).
- Hypotenuse: 13 is the hypotenuse because it is the largest side and opposite the right angle.
Substitute the values into the ratio.
This fraction cannot be reduced further, so it is the answer.
The cosine of G is <u>5/13</u>
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Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
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 margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.