based-on-data-from-a-local-college-a-statistician-determined-that-the-average-students-grade-point-a

Question

Based on data from a local college, a statistician determined that the average student's grade point average $(\mathrm{GPA})$ at this college is a function of the number of hours, $h,$ he or she studies each weck. The grade point average can be estimated by the function $\mathrm{G}(h)=0.006 h^{2}+0.02 h+1.2$ for $0 \leq h \leq 20$ . 
a. To the nearest tenth, what is the average GPA of a student who does no studying?
b. To the nearest tenth, what is the average GPA of a student who studies 12 hours per week?
c. To the nearest tenth, how many hours of studying are required for the average student to achieve a 3.2 GPA?

Elizabeth Xu · Accepted Answer

in this question here for part A. We want to find to the nearest 10th B average G p A. Of a student who does know studying. So that&#x27;s when h is you go to zero. So g of zero is equal to zero point 006 times zero squared plus 0.2 come zero plus 1.2, which is equal to 1.2 carpi. Here we want to find gpm, assume who studies 12 hours. So that&#x27;s G 0 12 So instead of plugging and zero for each, we plug in 12. So 0.6 times 12 squared pluses. Europeans here, too. Times 12 plus 1.2, which is equal to approximately 2.3. Now, what part C Here we want to find how many hours of studying a required to achieve 3.2. So that means that 3.2 his equal to 0.6 each squared classes your 0.2 h plus 1.2 subtracting 3.2 from both sides of the equation. You got 0.6 h squared plus 0.2 h minus two is you go to the room. Then he used the quadratic formula to solve for when h is equal to zero or what makes a secretion true. So we have a is equal to 0.6 b is equal to 0.2 and C is equal to negative two. And what you&#x27;ll get is that like your two solutions are 16 points at 667 or negative 20 but obviously are which cannot be negative. 20 because you cannot study negative number of hours, so your solution would be 16.667

Zach Steedman · Answer

Okay, so we&#x27;re supposed to calculate a grade point average here and this student a 4.0, which is the AI has nine credit hours. Is it four point now? 1500 hours and B, which is a 3.0, 33 hours a majority of that time or the majority of the classes, I should say, at a C in three hours of the D. And so basically, these numbers are not the weights these air. Actually, what&#x27;s going to be average? The 4321 in the four has the weight of a nine because that&#x27;s how much of the time or the classes have received that four. Or that a. And so that&#x27;s how I had placed this in this right here is the weight, and these are the actual numbers that go into computing the great point average. So once I did that, I cooked equal average. Of course, in Google Sheets, Microsoft Excel works as well. And then I had added the first column comma Highlight the Second Column, and this year has Theo exact minimum grade point average of 2.5 needed to stay at that school. So, yes, that student is okay to say that school, but barely has a minimum G p a

Ankit Gupta · Answer

So now we will first block that point, which are 15 comma, 2.5. So first point is over. Yeah. The 2nd 1 is a 30 year coma. 3.9, which will lie somebody over. Yeah, on the next point is 10. Come on. 2.1, which will lie. Oh, yeah. Next is 24 comma 2.8, which will lie over here. Next year&#x27;s 35 coma, 3.3. So it will lie over you. All right. Next point is 15 Goma, 2.7. So 15 Gomaa 2.7 will live. Well, you&#x27;re the next is 45 comma. Four point. So I don&#x27;t talk. Nexus 20 years, comma 3.1. So bring the beard. Comma 3.1 rely over here next week. 35 comma, 3.4. So 35 homers. 3.4. I would like for you. Our next point is. Then call my 2.2. Ben, come on, 2.2. Well, I right up over this. And next it&#x27;s six. Coma, 1.8 this life. Oh, yeah. So now we have No, If we can&#x27;t see, our graph is linear. So you can see it is Indian. Yet the point, uh, join in your pattern. No. One next parties, we will take two points, so the points are to point it and 3.1 and next has been come on 2.2. So now we will find out slow, so slow pace and is equals to 2.2 minus 3.1 upon again minus 2.8 which is close to minus 0.4. I know seven going toe. So therefore and this zero point 05 on so therefore us. We can find the question by using this. Why is it called stupid? Makes blessed before. So our next is Why is 3.1 m is my No. 0.0 fight. My reply to it 2.8. Blessed be so therefore we have 3.1 plus 0.5 months deployed with 2.8 plus B is equals to be not plus people. Music was so therefore B is 3.24 So our equation is why is equals to minus 0.5 x plus three point do for so no subpart c No, it is not possible because it cannot exceed more than four point or

Ankit Gupta · Answer

a student&#x27;s GPS score has been modeled depending on the number of ours the store in spends every week. So the function is represented by G is equal to minus 0.6 Etch Square 0.158 plus 3.0 full. So for a GP off 2.97 how many ask, Does the student need to put it so That means our equation will allow change. Toe 2.97 is equal toe, minus 0.68 square plus 0.15 Etch plus 3.4 Now simplifying this further by multiplying the whole equation. With 10,000 Big 29,000 700 is equal to minus six X square, plus 150 edge plus 30,400. So our final quadratic equation will become minus six X Square plus 150 h plus 700 is equal to zero. Now dividing the whole equation by two and simplifying it Father will get minus three X square. Last 75 edge plus 350 is equal to zero. Now, my quadratic formula we know that ecstasy equal to minus being plus finest route off. These were minus for a city divided by two way. So applying the same toe, find out Etch over a Irving right H is equal to minus 75 plus minus under Rudolph 75 squared minus two multiplied with minus tree multiplied with 350 divided by two multiplied with minus tree, which gives us a TSH as equal toe, minus 75 plus minus. Root off +56 to 5 plus 4200 divided by minus six. The John Simplification gives us minus 75 plus minus 19 9 0.1 toe divided by minus six. So therefore, we can say that either R H is equal to minus 75 plus 99.1 toe divided by minus six R r h will be equal to minus 75 minus 99.1 toe divided by minus six now, since the first value will be a negative value. So therefore we ignore this on the second value will be a positive value via getting etch as equal to approximately 29 us. So for a GP off 2.97 the story needs to put in 29 us

Tiffany Tran · Answer

So you wanna plug in 2.97 US G. And then you&#x27;re going to make the equation equal to zero so that you can use a quadratic formula. Now we&#x27;re going to subtract 2.97 to the other side. So that&#x27;s going to zero in secret to negative zero point. There was 006 ex players plus 0.1 flood X plus 0.37 Now we&#x27;re gonna plug into a form one are quadratic form one. He&#x27;s cleared minus four. Mm. I see. Over to now, when you simplify this, it will be about X equal to 29 or were in negative 4.2 because it cannot be a negative, so it&#x27;s gonna take about 29.

Jeremiah Mbaria · Answer

in question. That imprint fight. We have data from a sample off 40 college students on. We&#x27;re going to be comparing there. It&#x27;s cause for the city and the GP averages after the first time in college. So the fast part of the question because us to construct a scatter diagram and we need to ensure that the A city&#x27;s caused around the horizontal axis on the GP on the vertical axis. Then we also need to identify the male and female students. So this case, we just have to selected deter a city and GP here. Then we go to the in sacked tub and select this cutter dagger. As you can see on the horizontal axis, we have the GP and sorry. On the horizontal axis we have the yes, it is cause on on the vertical axis, you have the GP. Now we just need to identify the male and female students. All of them have the same color, but you need to identify the mean and female students. So what we need to do here is to select the detail and right select deter. Then we need to add the Siri&#x27;s just add the series. We can call the Siri&#x27;s there. Do you want to identify meals? So heels? We have X valleys, this ridge, and, uh, we have y values these fringe. So now, as you can see, these are color. The the blue color there that you cannot there represents the meal. So when you compare, you notice that in clinical feather patterns for males and females, you notice that that difference for mills the points distribution indicate a positive dependency. That is, the points appear to be, we think are rising light. But for females, the points distribution indicates little or no dependency, as you can see the orange dot and that points are between horizontal line. So that&#x27;s the comparison between the patterns from meals and females. Then we need to see based on this scatter diagram, whether we can predict the students GPS based on the arts course. So if you have a student has an act score off 25 what would the GP for that students be? So we need for that information to remove the series view, and then we need to select the deter and odd a trendline. So when you are the trend line and show the equation tonight is going to be possible for you to drew that prediction. So in our kiss, the question of the line East why equals zero point 0 to 51 x plus two point 5 to 7. And remember the X stands for the city&#x27;s cause and the wife stands for the GP. So if you want to predict the value, why, then you just need to take in the formula zero point zero to times. Yes, exit is called 25 and at that, too, to be five. That gives us a GP off 23.1 Pfeifle. So remember this is the GPS exit thescore off identifies, able to predict using. So the question, Oh Crassus to tell whether they appears to be any relationship between a city&#x27;s cause on the fast on GP. And as you can see from this cutting diagram, the slope is very small, so we can conclude that these a slight relationship between yes, it is cause on the first term GOP. The relationship is much stronger for males than females, as you have seen before, I and so we can conclude that there seems to be a slight relationship under the relationship is also positive, Which means that if you have ah, high a CT school, you&#x27;re most likely going to have Ah hi Gp in your faster

Problem

Follow the steps given in the chapter opener to f…

Problem 27 Hard Difficulty

Answer

a) 1.2
b) 2.3
c) 16.7 hours

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Heather Z.

Alayna H.

Kayleah T.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

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a) 1.2b) 2.3c) 16.7 hours

Algebra 2 and Trigonometry

Heather Z.

Alayna H.

Kayleah T.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Heather Z.

Alayna H.

Kayleah T.

Maria G.

a) 1.2
b) 2.3
c) 16.7 hours

Ann Xavier Gantert

Algebra 2 and Trigonometry