5

The dally water consumption for an Otio community = normally dstrbuted wlth mnean consumption 0t 519,645 qallons Tnmn standard deviauon 0l 71,564 9allonsThe commur...

Question

The dally water consumption for an Otio community = normally dstrbuted wlth mnean consumption 0t 519,645 qallons Tnmn standard deviauon 0l 71,564 9allonsThe commurity water system Wll experlence a noticeable waler consumpilon exceeds 782.238 drop waiet preesure when the auiy qullans_What Ihe probabdity € your anewer t0 experlencing such decImal placet drop in water pressute? (Round Round ecoree [0 decImal places }

The dally water consumption for an Otio community = normally dstrbuted wlth mnean consumption 0t 519,645 qallons Tnmn standard deviauon 0l 71,564 9allonsThe commurity water system Wll experlence a noticeable waler consumpilon exceeds 782.238 drop waiet preesure when the auiy qullans_What Ihe probabdity € your anewer t0 experlencing such decImal placet drop in water pressute? (Round Round ecoree [0 decImal places }



Answers

Water Usage. The height (in feet) of the water level in a reservoir over a 1 -year period is modeled by the function $H(t)=3.3(t-9)^{2}+14$ where $t=1$ represents January, $t=2$ represents February, and so on. How low did the water level get that year, and when did it reach the low mark?

Assuming X to be equal to the amount off water in 1000 gallons, then excess water will be equal tow X minus day. So now, according to the question, cost of this excess water will be equal to 5.81 multiplied with X minus two. They our inequality in equation. Our inequality, according to the question, will become 97.74 is less than 57.7 plus 5.81 multiplied with X minus stink is less than 150.3 On simplifying this, inequality will get by taking away 57.7 from both sides of the inequality, so we'll get 97.7. Ford, minus 57.7 is less than 5.81 multiplied with X minus tan is less than 150.3 minus 57.7 So which on further simplification will give us 40 0.67 is less than 5.81 x minus 58.1, which is again less than 92.96 now, adding 58.1 to the whole inequality on both sides will get 98 0.77 is less than 5.81 X is less than 151.6 now, dividing the whole inequality by 5.81 Bigot, 17 is less than X is less than 26. So which means that the amount of water which is being used belongs to us. The interval between 17,000 gallons on dhe 26,000 gallons.

Okay, so we have this graph here that represents the water usage in gallons per hour plotted against the time. We were to estimate the total water usage from t equals zero T equals 12 because this looks like this is the rate of change. Um And in order to find the total amount of something you actually have to take, the integral over this rate of change. But the rate of change looks really bumpy, so it's really impossible to try to find the area under the curve. So there are a couple of things that we can do. The first is that we can make an estimation um by drawing a line that goes from this point to this point and then just finding this area. Well unfortunately if we do that all of this area will be gone. That's a pretty crummy approximation. A better approximation would be actually to use a parabola. Okay, so you can think of this point right here as the vertex of your parabola and this is just another point on the problem. And if you use those two things then, since problems for symmetric, um this point will touch down again after Well if this is the point, I would say it's somewhere around seven comma eight. Right? I know it's not exactly eight, but Kind of makes the map a little easier to work out with. If you knew exactly where this was that it would be a little easier. But let's say that this is the .78, Then this would keep going until it finally touches back around x equals 14. Okay. But it doesn't really matter. All we need is the vertex of a parabola and just one other point on it. And then we can come up with the equation of the parabola and then we'll integrate that. So this point looks like it's um I don't know, 04 I know it's 4.5 but again I'm just trying to make the numbers easier to work out. Okay, so the general form of a problem in vertex notation is why equals a X minus H squared plus K. And that is a parabola with vertex hk Well in our case the vertex is going to be 78 so I can just plug those in. So in this case why is going to equal a times X minus seven squared plus eight? And now you can see why we only need one more point on this problem because we need to find a, So if we use 004 we plug in zero for X. And four for why? So four would equal a times zero minus seven squared plus eight. We'll eventually get the a. Is going to have to equal negative for over 49. Okay, well that's messy but I guess we're just gonna have to do with it. So the problem that we're going to integrate over is y equals negative 4 49 months times X minus seven squared plus eight. And we're going to in agree we're going to integrate from this is supposed to be A. T. But we'll just do X. Doesn't matter. Uh from X equals 0 to 12, that represents the time and hours. Okay, So if we do that We just integrate this, I can pull this the negative 449 out in front as a constant And this is going to be the integral from 0 to 12 of this. All right now there's nothing inside here. So this integral, I mean you can do it a couple of different ways. You can actually foil this out. You can distribute this and then integrated term by term. But I'm just going to tell you that since its X. And not like a two X. Since this number is one that's multiplying it, it's okay to do this. But what you will do is um you know what I already messed up because you this this term Isn't over the eight as well. So you actually can't do that. So this negative 449 has to be in here. Okay, so it's the integral from 0 to 12 and we're actually evaluating the integral now, I don't know why it's going all haywire on me. Okay, so what's going to happen here is I can write this as X -7, Cubed Over three. Okay, just let X minus seven B. Y. And if you want to use a use sub then you'll just get dx equals D. Y. But the integral of Y squared is going to be y cubed over three. Okay so that's why I have x minus seven. Race to the third power divided by three plus. And then a just tax on an X. Now this entire thing is going to be evaluated from X equals +02 X equals 12. And this isn't going to be the most fun. But we're gonna do it anyway. So you're going to get you're gonna plug in the upper down first. So that's gonna get us 12 minus seven cubed over three plus eight times 12 minus. And now we're gonna plug in the lower bound. The lower bound is not always zero by the way. This is a perfect example. I mean this term this term is zero but the whole lower bound isn't zero so you can't always just cancel it. Okay so this is going to get us -4 49th. Um five Cube is 125 plus 96 minus negative for 49th. Um So that's a positive for 49 months, -7 cubed is um -343/3 plus era. And if you work all this out you will get 4080 Over 49 which is approximately 83.3. So gallons. Okay so it's gonna be 83.3 gallons that were consumed from t equals 0 to 12 hours.

Okay, so let us start with our discussion with utility. Most of you, like a little definition. Then we will move to the example it So it is these satisfactions which is achieved, prove consumption. Who opens in? Geno, you're an adult, okay? No, What happens? He likes his oppose. So really, it is just the satisfaction. That's a support. You you have a job. Okay? You have your first chocolate because you are getting do you take? So you put Jason and it so But you are now. Still only but you okay, You're still. But she's taken juggling on doing what you did. But can you tell me, like with the second trouble using her construction that the first chocolate gave you, it will not. Okay, so that is the actor concept of ability. Okay, so now let us understand it through the example. Let's suppose we have a breathing. Okay? We have everything here, so four games. Okay, so event randy stored in both have some 0.1000. All that for each denning. Okay. And whatever be the other expenses off maintenance, electricity, water, everything will be divided by four. OK, so all expenses will be divided by, but they're gonna be the expenses director. So what do you think, billeting? This would be the division of expenses is correct or not. See, it is not correct by that to suppose the first to tenants our professionals and they do not stay at all and bullet off these Austin days. So? So the below. So that below couple of panics stay at home for long. Now, all of the expenses little group, border electricity will be shared in excess. Okay, I will be cheering access by these professionals by because the owner they're not staying at whom they are not, you know, spending much border on their daily needs. So but still they are. They are being liable to pay for the expenses that has been divided here. Okay, so that should not be the case. But the race. What will happen? They're your ability. So the ingenuity is zero in that case, because they are not they're not spending the border like they like. The low couple of tannins are doing okay. Of course, if you will see, according to the price. Okay. The rent. Okay, The rent. Maybe saying for all the cannons all before them. However, do you think the division of expenses just like a simple elementary matter with beautiful football? All of the tenants, Lloyd. Why? Because the above the above couple of donors belief will not be spending much water, electricity, so they should not be liable to pay the expenses. Okay, so that is the case that the utility and price also and okay, that we should understand. And that is what we have achieved as our solution. You've been light this example as well as definition on future parents. Okay, Thank

For the months of A in June, which your two months, it had fallen 4.3 feet for a total of eight point six feet. In the months of August and September, which again are two months, it had fallen 8.7 feet for a total A 17.4 feet. So when you are these up, by the time you get to October, it would have fallen 26 feet.


Similar Solved Questions

5 answers
Question 141 ptsHuman populations are polymorphic for the gene coding for myoglobin, with two alleles; A1 and Az: Tomoya Takata ad his colleagues (Takata et al. 2002) found that in a small Japanese population, the frequency of the A1 allele was 0.755. If the population is in Hardy-Weinberg equilibrium, what are the frequencies of the A,A_ AzAz, and AzAz genotypes, respectively?0.57.0.37.0.060.72,0.07,0.210.755,0,0.2450.35,0.30,0.35
Question 14 1 pts Human populations are polymorphic for the gene coding for myoglobin, with two alleles; A1 and Az: Tomoya Takata ad his colleagues (Takata et al. 2002) found that in a small Japanese population, the frequency of the A1 allele was 0.755. If the population is in Hardy-Weinberg equilib...
5 answers
Question 15Based on common charges of ions; which chemical formula is incereez Periodic Tablee Equations/Constants SheetMgsLiOzCszNHBrOTKIPrevious
Question 15 Based on common charges of ions; which chemical formula is incereez Periodic Tablee Equations/Constants Sheet Mgs LiOz CszN HBr OTKI Previous...
5 answers
Consider the vector space RR for each = € R: Show function f € RR is called even if f(-=) = f(r) Recall that that the collection Ue of all even functions is subspace of RR f(-r) =-f(c) for each € eR Show Recall that function f €RR is called odd if subspace of RR that the collection Uo of all odd functions is Prove that RR = Ue € Uo:
Consider the vector space RR for each = € R: Show function f € RR is called even if f(-=) = f(r) Recall that that the collection Ue of all even functions is subspace of RR f(-r) =-f(c) for each € eR Show Recall that function f €RR is called odd if subspace of RR that the coll...
4 answers
Consider thc following = Tcaction #hcre10.5 ot JS0 K2CH,Clzlg)CHA(8): cCu(g)Teacton mixture Wus found conlaln LlSx10 ? moks of CH,Clz(g} 4.34*10-2 moles of CH (g) and 4.24*10-2 moles of CCI(g), in & 00 liter contntntnthc rcaction equilibrium? If noL; what direction mustetdt tcach equilibrum?Thc reaction quoticnt Qc equalsTh rcaetlan FMent the loruurd ditcction Iacl Gmnautti nutAnan thc Feicmc Uucchan I4eh cuIctum Il cquilbriul
Consider thc following = Tcaction #hcre 10.5 ot JS0 K 2CH,Clzlg) CHA(8): cCu(g) Teacton mixture Wus found conlaln LlSx10 ? moks of CH,Clz(g} 4.34*10-2 moles of CH (g) and 4.24*10-2 moles of CCI(g), in & 00 liter contntntn thc rcaction equilibrium? If noL; what direction must etdt tcach equilibru...
5 answers
Pan ABased these molecula Mews, determine whether Racn piclured acid Wejk Drag the appropriste items their respactlve bins.sliongCHO -HO-HCHO;Weak zidStrong acid
Pan A Based these molecula Mews, determine whether Racn piclured acid Wejk Drag the appropriste items their respactlve bins. sliong CHO - HO- HCHO; Weak zid Strong acid...
5 answers
HMI 6 5 2 1 1 W 8 1 li [ [ 1 1 1 ! 1 3 3 8 J 3 1 1 { 1 1 7 9 I 7 1 2 8 1 3 { 2 ? 2 230 2 I 1 3 }5 L 2
HMI 6 5 2 1 1 W 8 1 li [ [ 1 1 1 ! 1 3 3 8 J 3 1 1 { 1 1 7 9 I 7 1 2 8 1 3 { 2 ? 2 23 0 2 I 1 3 } 5 L 2...
5 answers
1 (Type Stetc) H L 2*8 - 8 {lu] L curve, 1 Simpy yoUr { indicating ail relalive = 1 exncrnu CCin s Eammin 1 and Inlacucn 6 I 1
1 (Type Stetc) H L 2*8 - 8 {lu] L curve, 1 Simpy yoUr { indicating ail relalive = 1 exncrnu CCin s Eammin 1 and Inlacucn 6 I 1...
3 answers
5) Show if Wis a subspace of the vector space X then Wis convex.
5) Show if Wis a subspace of the vector space X then Wis convex....
5 answers
Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure2 #Need Help?RedalL
Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure 2 # Need Help? RedalL...
5 answers
Consider the energy budgets for a human, an elephant, a penguin, a mouse, and a snake. The _____ would have the highest total annual energy expenditure, and the ______ would have the highest energy expenditure per unit mass.(A) elephant; mouse(B) elephant; human(C) mouse; snake(D) penguin; mouse
Consider the energy budgets for a human, an elephant, a penguin, a mouse, and a snake. The _____ would have the highest total annual energy expenditure, and the ______ would have the highest energy expenditure per unit mass. (A) elephant; mouse (B) elephant; human (C) mouse; snake (D) penguin; mouse...
5 answers
5) Draw tulLmechanisms for the following reactions (25 points):Hbo 'H,SOaW) m-CPBA 2) Hso:
5) Draw tulLmechanisms for the following reactions (25 points): Hbo 'H,SOa W) m-CPBA 2) Hso:...
1 answers
Show that $\|1\|^{2}=2 \pi$ and $| \cos k x \|^{2}=\pi$ in $\mathscr{C}[-\pi, \pi]$
Show that $\|1\|^{2}=2 \pi$ and $| \cos k x \|^{2}=\pi$ in $\mathscr{C}[-\pi, \pi]$...
5 answers
Suppose that the town of Grayrock had a population of$10,000$ in 1998 and a population of $12,000$ in 2003 . Assuming an exponential growth model, in what year will thepopulation reach $20,000 ?$
Suppose that the town of Grayrock had a population of $10,000$ in 1998 and a population of $12,000$ in 2003 . Assuming an exponential growth model, in what year will the population reach $20,000 ?$...
5 answers
Consider a high-speed rocket ship equipped with a flashing light source. If the frequency of flashes seen on an approaching ship is twice what it was when the ship was a fixed distance away, by how much is the period (time interval between flashes) changed? Is this period constant for a constant relative speed? For accelerated motion? Defend your answer.
Consider a high-speed rocket ship equipped with a flashing light source. If the frequency of flashes seen on an approaching ship is twice what it was when the ship was a fixed distance away, by how much is the period (time interval between flashes) changed? Is this period constant for a constant rel...
5 answers
The solution to the following differential equation using Integrating Factor Method, xy + 2xy cos? x isSelect one:y = 2x + 4sin(2x) + $ Cy = 1+7 2x 2ysin(2x) + €y = 1+ 1 cos(2x) + € 4x 2x2y = cos(2x) + € 2+2y = %x+ _sin(2x) + €
The solution to the following differential equation using Integrating Factor Method, xy + 2xy cos? x is Select one: y = 2x + 4sin(2x) + $ C y = 1+7 2x 2ysin(2x) + € y = 1+ 1 cos(2x) + € 4x 2x2 y = cos(2x) + € 2+2 y = %x+ _sin(2x) + €...
5 answers
JeDlstudentAssignment Responses last?dep-23833307 Youlube MoptGraal0/0.9 Points]DETAILSPREVIOUS ANSWERSASWSBE13 17.E.002,My NOTESASK YOUR TEACHERPRACTConsider the following an semsUsing the average all the historical data pladtrorecasttornet perica compute the following Mtta Gurerforecast accuragy; (Rourdanswensmean absolute emot MAETAAn equated cior MSEaralm Josalute pacentaot Mot MAPEMt tha (ont cast Iot VeeaNeed Holp?Iype hetue"ntchWeekValue
JeDlstudentAssignment Responses last?dep-23833307 Youlube Mopt Graal 0/0.9 Points] DETAILS PREVIOUS ANSWERS ASWSBE13 17.E.002, My NOTES ASK YOUR TEACHER PRACT Consider the following an sems Using the average all the historical data pladt rorecasttor net perica compute the following Mtta Gurer foreca...

-- 0.020214--