Answer:
x = 9√3
y = 18
Step-by-step explanation:
Given the angle measures and given length of the triangle, we can see that this is a 30-60-90 triangle which means the angle measures are 30°, 60° and 90°. A 30-60-90 triangle has special side lengths as indicated in the diagram below. Since the length given is across from the 30° angle, then x = 9.
In this diagram, x = x√3 or 9√3 and y = 2x or 9(2) = 18.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.
The standard errors are given by:
For the distribution of differences, the <u>mean and the standard error</u> are given by:
The interval is given by:
The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.
Then:
The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check brainly.com/question/16162795