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Y 7060 (106,58p (millions 50 40 30 (33,33) Employees 20 Fol (3,10) Xa 20 40 60 08 100 120 Revenue (billions)...

Question

Y 7060 (106,58p (millions 50 40 30 (33,33) Employees 20 Fol (3,10) Xa 20 40 60 08 100 120 Revenue (billions)

y 70 60 (106,58p (millions 50 40 30 (33,33) Employees 20 Fol (3,10) Xa 20 40 60 08 100 120 Revenue (billions)



Answers

If the average wage of 50 workers is $\mathrm{Rs} 100$ and the average wage of 30 of them is $\mathrm{Rs} 120$, then the average wage of the remaining workers is (1) $\mathrm{Rs} 80$ (2) $\mathrm{Rs} 70$ (3) $\mathrm{Rs} 85$ (4) $\operatorname{Rs} 75$

Lou. Today we will be determining if we have a problem destruction or a distribution today. But before doing that, we will be discussing or reviewing what a probability distribution is. And definition of probable distribution is a table or an equation that links each outcome of statistical experiment with its probability of occurrence. And, of course, the two rules that accompany that quick definition is that one all probabilities in the probability distribution must be between zero and one we can't have in negative probabilities and no probabilities. Great of the one crystal. That's not a probability anymore. And number two, some of off probabilities must evil one if we have more or less than one than were either accounting for some event more times than actually curse. Or if it's less the one them we're missing some event were missing some of our possible outcomes, and we're just not including them now. Our example for today as I will draw up now Sorry, dropping a pin is this follows. We have X, our event on top and our probability when bottom no plus where that's next. So our excess today are 20 30 40 and 50. The probabilities are 0.50 point 35 0.4 0.2. Now start with. First thing we can see is that we have no negative probabilities or any that exceed one. So we know that rule number one is followed. Now our next check will be the total of profile are probabilities. So we got to calculate that up. So point far 0.0.5 point 35 become 0.4 0.4 plus 0.20 point six. And if we add those together or total is one So number two rule number two is also followed. So now we know that the distribution went not here is indeed a probability Distribution is a table that can link each outcome of us. This experiment with the probability of occurrence for that outcome because all of the requirements were to be probability distribution are met

This video covers operations with matrices. In this problem, the matrix a represents the production levels at four factories of two goods. The matrix is 190, 70 30 And then 40 2060 60. If the production levels increased by 10%,, That is the same as multiplying by 1.1, So 1.1 times a, Which is 190 70 30, 40 20 60 60. Multiplying out here, We can just multiply 1.1 times each of these terms. So this gets us 1 10 99 77 33 44 22, 66 and 66. Because multiplying by 1.1 is the same as the value itself, plus the value divided by Okay, So this is our answer for the production levels increased by 10%.

First of fine your variables. Let's say that our first column is s in her second is he then begin looking for a relationship. I see that I am increasing. So let's see if we can do addition to get our answer. 25 plus 50 gives us 75 When you try the same rule for the other values you see, it continues to work. IE 50 plus 50 is 100. Thus, her last step is just to write this out in math s plus 50 gives us e So we have asked plus 50 equals E.

So this problem is very similar to problem 1:15. What I've done is just in Dismas typed the revenue function is given and curly braces. I just type the domain they told us valid from 50 to 100. So what we now need to do is plug in 50 60 80 and 100 into this function. And the easiest way to do this is to click the little gear icon and then click table And here we can type in every value of X were interested in. So we can type 50, We can type 60, We can type 80 And then 100. Okay so what do these values mean? What it says are fX is in tens of millions. So if we get 42 tens, that's about 420 million dollars of revenue at that tax rate We could have 400 million in revenue at 60%, 30 times 10 is 300 million Dollar in revenue for 80%. And then if our tax rate is 100% when we get zero. Lastly to graph this were essentially done. It just wants us to graph this on the window 0-100 and 0-50. I can change this to zero And then type zero to 100 and 0 to 50. We roughly have a shape that looks like this. Um though if you wanted the domain that they originally specify, I guess the graphic book like that. So a graphing calculator makes this problem quite easy and you can just use it to evaluate the function each of those inputs.


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