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.
Answer:
a(5)=25
a2+a6=44
a(4)+2a(6)=93
sqrta(5)=5
Step-by-step explanation:
You are given all the terms needed but sometimes you will have to create a formula.
a(b)=6b-5 is the formula in this sequence, now you can just plug in everything.
a(5)=6(5)-5
=25
a2=7
a6=37
7+37=44
a(4)=19, a(6)=37
19+2(37)=93
a(5)=25
sqrt25=5
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
Answer:
False
Step-by-step explanation:
-x^2+x is the same as x-x^2.
Only difference is the way it's written.