According to this diagram what is cos 16
2 answers:
<h2>Answer:</h2>
Option: B is the correct answer.
B)
We know that the cosine trignometric ratio corresponding to a angle theta(θ) is defined as the ratio of the adjacent side to the angle theta to the hypotenuse of the triangle containing θ as one of the angle.
By looking at the figure we observe that the triangle is a right angled triangle and the length of the side adjacent to angle 16° is: 24 and the hypotenuse of the triangle is: 25.
Hence, we get:
You might be interested in
Answer:
So on this case the 95% confidence interval would be given by (12.150;16.690)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=36 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (12.150;16.690)