Answer:
And we are 9% confidence that the true mean for the difference of the population means is given by:
Step-by-step explanation:
For this problem we have the following data given:
represent the sample mean for one of the departments
represent the sample mean for the other department
represent the sample size for the first group
represent the sample size for the second group
represent the deviation for the first group
represent the deviation for the second group
Confidence interval
The confidence interval for the difference in the true means is given by:
The confidence given is 95% or 9.5, then the significance level is 
and 
. The degrees of freedom are given by:
And the critical value for this case is 
And replacing we got:
And we are 9% confidence that the true mean for the difference of the population means is given by:
Whenever you see the word "of" in the mathematical terms. it always mean you have to multiply
105%(60) = ?
105 ÷ 100 = 1.05
= 105/100 = 1.05
We multiply "60" from "1.05"
1.05 (60) = 63
So, therefore your answer would have to be: 63
Check the picture below.
let's notice that the angle at K is an inscribed angle with an intercepted arc
![\bf \stackrel{\textit{using the inscribed angle theorem}}{K=\cfrac{\widehat{LI}+\widehat{IJ}}{2}}\implies 9x+1=\cfrac{(10x-1)+59}{2} \\\\\\ 9x+1=\cfrac{10x+58}{2}\implies 18x+2=10x+58\implies 8x+2=58 \\\\\\ 8x=56\implies x=\cfrac{56}{8}\implies x=7 \\\\[-0.35em] ~\dotfill\\\\ K=9x+1\implies K=9(7)+1\implies \boxed{K=64}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20inscribed%20angle%20theorem%7D%7D%7BK%3D%5Ccfrac%7B%5Cwidehat%7BLI%7D%2B%5Cwidehat%7BIJ%7D%7D%7B2%7D%7D%5Cimplies%209x%2B1%3D%5Ccfrac%7B%2810x-1%29%2B59%7D%7B2%7D%20%5C%5C%5C%5C%5C%5C%209x%2B1%3D%5Ccfrac%7B10x%2B58%7D%7B2%7D%5Cimplies%2018x%2B2%3D10x%2B58%5Cimplies%208x%2B2%3D58%20%5C%5C%5C%5C%5C%5C%208x%3D56%5Cimplies%20x%3D%5Ccfrac%7B56%7D%7B8%7D%5Cimplies%20x%3D7%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20K%3D9x%2B1%5Cimplies%20K%3D9%287%29%2B1%5Cimplies%20%5Cboxed%7BK%3D64%7D)
now, let's notice something again, the angle at L is also an inscribed angle, intercepting and arc of 97 + 59 = 156, so then, by the inscribed angle theorem,
∡L is half that, or 78°.
now, let's take a look at the picture down below, to the inscribed quadrilateral conjecture, since ∡J and ∡I are both supplementary angles, then
∡I = 180 - 64 = 116°.
∡J = 180 - 78 = 102°.
Is it asking for the answer of the question to be less then five but grater then zero? or the number you're suppose to enter to be less then five but greater then zero?
Measure of angle is 6 less than 5 times its complement,
Equation is:
A= 5 x (90 - A) - 6
Solve for A.
A=5(90-A)-6
A=450-5A-6
Add 5A to both sides
6A=444
A=74°
Now the complementary angle=90°-74° =16°
Answer: 16°
