Answer:
The proportion of former smokers with a university education is (A) 0.15
The proportion of men with a high school education that are current or former smokers is (B) 0.30
The degrees of freedom for the chi-square test for this two-way table are (B) 6
Step-by-step explanation:
The first thing to note is the two way table and ensure the proper arrangement of the figures in the table (Kindly find attached a picture of how the table should look)
Now, on to the first question on the former smokers with a university education = (43+28)/459 = 71/459 = 0.15 which is option A. [This is the total sum of former smokers with college and graduate school education].
The second question on the proportion of men with a high school education that are current or former smokers = (54+31+36)/459 = 0.285 = 0.30 (approximate value) which is option B.
The third question on the degrees of freedom for the chi-square test for this two-way table can be found with the formula DF = (r-1)(c-1) where,
DF = Degree of freedom ,
r = number of rows = 3
c = number of columns = 4 [<em>Kindly note that you have to exempt the row and columns with the totals</em>]
Therefore, DF = (3-1)(4-1) =2*3 = 6 which is option B.
explanation:
in regular math: if the function is written as function notation, replace all x's in the expression with your number and solve.
in brainly: click the math button, {it looks like a square root sign with an x inside} press whichever function or process you like and in the text box it should say something like " /[operation]{x}{y} "
in those curly brackets around x and y is where your numbers should go. just get rid of the variable and put it in your number to make the function/process they way you want it to go instead of having those placeholder variables.
Check the picture below. So the parabola looks more or less like so.
![\bf \textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bhorizontal%20parabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%204p%28x-%20h%29%3D%28y-%20k%29%5E2%20%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bfocus~point%7D%7B%28h%2Bp%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bdirectrix%7D%7Bx%3Dh-p%7D%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22p%22~is~negative%7D%7Bop%20ens~%5Csupset%7D%5Cqquad%20%5Cstackrel%7B%22p%22~is~positive%7D%7Bop%20ens~%5Csubset%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20h%3D-5%5C%5C%20k%3D2%5C%5C%20p%3D4%20%5Cend%7Bcases%7D%5Cimplies%204%284%29%5Bx-%28-5%29%5D%3D%5By-2%5D%5E2%5Cimplies%2016%28x%2B5%29%3D%28y-2%29%5E2%20%5C%5C%5C%5C%5C%5C%20x%2B5%3D%5Ccfrac%7B1%7D%7B16%7D%28y-2%29%5E2%5Cimplies%20x%20%3D%20%5Ccfrac%7B1%7D%7B16%7D%28y-2%29%5E2-5)
Let 
be the most the manager can pay the suppliers.
Then, we know from the information given in the question that the manager needs a 30% markup based on cost.
Therefore, the guiding equation will be:
because $10 is the most people will pay for a neck warmer.
Thus, the above equation will become:
Thus, the most a manager can pay the suppliers for neck warmers and still keep the selling price at $10 is $7.69
Answer:
A. 2 units left and 3 units up
Step-by-step explanation:
2 from x is taken away and thus shifts 2 to the left
3 is added to the eventual y value and thus shifts 3 upward
