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Pfloing Set oidata % R8na Bample onn7 5 9 0?3 Ee Z 02 0 9310750.87801875076...

Question

Pfloing Set oidata % R8na Bample onn7 5 9 0?3 Ee Z 02 0 9310750.87801875076

pfloing Set oidata % R8na Bample onn7 5 9 0?3 Ee Z 02 0 931 075 0.878 01875 076



Answers

$$ \frac{w^{2}-3 w+6}{w-5}+\frac{9-w^{2}}{w-5} $$$$ \frac{2 z^{2}-3 z+6}{z^{2}-1}-\frac{z^{2}-5 z+9}{z^{2}-1} $$

So to start off the subtraction, we will distribute AR minus sign or negative symbol to each of term inside the parentheses. So we'll have 0.9 a cubed plus point two a minus five and then we'll flip the sign of each of these terms. So we get negative when 70 to the fourth plus went 15 a plus went one. Now all it is do is combine like terms. So we do not have another a cube term and we do not have another A to the fourth term. We do have to a terms and two constants. So we will then begin writing negative 0.7 a fourth. That remains unchanged plus 0.9 a cube that remains unchanged. Then we have point to a plus 0.15 a. And that becomes waas 0.35 a. And then we have minus five plus 0.1 and that will become negative or went nine. So this is theano, sir.

In discussion. Lost. Reform is given and we have to change in set builder form. So here in part first given three comma six comma nine former 12. So here you can see that three times one equal to 33 times to equal to 63 times three equal to 93 times four equal to 12. So here we can see X. Such that X equal to three times. And where and element of capital and and and greater than and equal to one and less than equal to four. So it is an answer for part first. Now we've sold part second roast reform is given to coma four koma eight coma 16 coma 32. So here it can be seen that due to the power equal to two due to the power to equal to four. Two to the power three equal to eat two to the power four equal to 16 to the power five equal to 32. So here we can see her liberated to common folk koma eight coma 16 coma. 32 equal to collaborate X. Such that X. Equal to two to the power and where and element of capital and which is natural and and greater than equal to one and less than equal to five. So it is our answer for part second now we sold part third roster form is given why Common 25 cuomo 125 coma 600 25. So here it can be seen that five to the power one equal to five. Five to the power to equal to 25. Five to the pole three equal to 125. Five to the power four equal to 625. So here collaborate five comma 25 coma 125 coma 625 equal to X. Such that X equal to five to the power and where element of natural amber and and greater than and equal to one and less than equal to four. So it is our answer for part third now we sold part four collaborate to quote mofo coma six and so on. So here you can see that it is a set of all even natural numbers. So here we can say X. Such that X. Is an even natural number. So it is over answer for part four. Now we sold part 50. The roster form is given one cuomo four common nine and so on. 100. So here you can see that it can be seen that one to the power one sorry to equal to one and two to the power to equal to four and three to the power to equal to nine and so on. Ben to the power to equal to 100. So here we can see one coma, four woman, nine and so on. 100 equal to X. Such that X equal to any square and element of natural number and and greater than and equal to one and less than equal to then. So it is over. Answer for part 50.

So to solve this equation, frizzy were first going to multiply both sides of the equation by 100. Since we have two decimal places and most find by 100 is going to get rid of those decimals. So we have 100 times. 1000.91 is 91 minus 100 times. 1000.2 is 20 equals under times 1.23 is 123. Mine is 100 times, 1000.60 is 60 z. So then we're going to commander like terms and eyesight or variable. So we're going to add 16 Z to both sides. We're also going to subtract 91 toe from both sides. So are 90 ones cancel and our sixties ease Cancel sewing it. Negative 20 plus 60 z is for it easy and then equals 123 minus 91 which is 32. So then we still need ice lazy. So we divide both sides by 40 and these forties cancel. So we get Z equals 32 divided by 40. So we can divi Bols, Um we can simplify this this fraction if we divide the numerator and denominator by eight So we hit the equals 30. Tune about it by eight, which is four and 40 divided by eight, which is fine. So our answer is easy equals for its and then to check that we're going to plug it into this equation here without the decimals. So we get 91 minus 20. Easy, which is 4/5 equals 123 on it 16 times or fits. So you at 90 one minus. And then we can simplify this because five goes into 20 four times. So it negative four times four, which is 16 equals 123 can also simplify this because five goes in this 60 12 times. So negative 12 times four is negative. 48. So we get 91 minus 16 equals 75 equals 123. Minus 48 equals 75

Low. Today we will be one skin continuing our discussion of probability distributions with an example of a distribution and will be determining if it is a probability is a a probability distribution or not. Now, to start with will be reviewing again. What a probability is region is. Definition is that it's a table or an equation that links each outcome of a statistical experiment with its probability of occurrence. And to determine if we're looking at probabilities is to be sure not. We have two rules number one all probabilities and the probability distribution must be between zero and one can have a negative can have anything greater than one cause then, well, they're not probabilities anymore. And number two, the sum of all over probabilities must equal one. Sorry, guys, only fix that. There we go. Now are probability that our distribution that we will be looking at today is it swallows. You have our X over our probability of X and our exes for today are three, 69 and one. Yeah, Eleanor probabilities are 0.3 0.40 point 30.1. The first things first we see that rule number one is being followed. We don't have any negative probabilities. And we don't have any probabilities greater than one. Now, for number two, Rule number two, we need our total to be equal. The one and we're gonna need to calculate that out. Now we have 0.3 plus point for 0.7. Wait three plus 30.1 to your 0.4. So, unfortunately, our total today it's 1.1 which does not equal one.


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