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Pani-rosa [81]
3 years ago
14

Introduction: In a course called Introduction to Statistics at Carnegie Mellon University, a professor wants to gain insight int

o his students’ performance on the final exam by analyzing exam grades from earlier in the semester. The data set describes 105 students. The data is in gradebook.xls. Support your answers using concepts from Unit 3. Follow the instructions for creating a poster. Research questions (answer both): In general, which is the best predictor of a student’s score on the final exam, the score on the first midterm or the second midterm? Use Unit 3 concepts to support your answer. What is the predicted score on the final exam for a student who scores a 77 on the first midterm and an 88 on the second midterm?
Mathematics
1 answer:
Vikentia [17]3 years ago
7 0
Nakeuenwbskeijwkwgne
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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
Fittoniya [83]

Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#

In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

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2 years ago
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A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x
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If the ratio of the length to the breadth of a rectangle be 5:3 and its perimeter is 144m find the length of the rectangle
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