## CHECK THESE SAMPLES OF Misconception in maths

...**Math** work Faculty Figure Graph for the given values Sr. No. Times in hours, t Amount of drug in µg, y k= -(ln(y/a))/t and a=10
0
0.0
10.0
--
k = 0.17491
≈ 0.175
1
1.0
8.3
k1 = 0.1863
2
2.0
7.2
k2 = 0.1643
3
3.0
6.0
k3 = 0.1703
4
4.0
5.0
k4 = 0.1733
5
5.0
4.4
k5 = 0.1642
6
6.0
3.8
k6 = 0.1613
7
7.0
2.8
k7 = 0.1819
8
8.0
2.5
k8 = 0.1733
9
9.0
1.9
k9 = 0.1845
10
10.0
1.5
k10= 0.1897
Table1: Amount of drug in the Bloodstream
Part A
1) Use this information to help you find a suitable function to model this data.
Since the rate of decrease of the drug is directly (approximately) proportional to the amount remaining, so let assume that the function is of type y=ae^ (-kt).
Now when value of t is equal to 0 in that case y is equal to 10.0. So...

4 Pages
(1000 words)
Essay

...**MATH** PORTFOLIO: CREATING A LOGISTIC MODEL A geometric population growth model takes the from where r is the growth factor and is the population at year n. For example, if the population were to increase annually by 20%, the growth factor is r = 1.2, and this would lead to an exponential growth. If r = 1 the population is stable. A logistic model takes a similar form to the geometric, but the growth factor depends on the size of the population and is variable. The growth factor is often estimated as a linear function by taking estimates of the projected initial growth rate and the eventual population limit.
METHOD:
1. A hydroelectric project is expected to create a large lake into which some fish are to be placed. A biologist estimates...

10 Pages
(2500 words)
Essay

...**Misconceptions** in Mathematics: Fractions, Decimals and Percentages (Fatma) Faculty **Misconceptions** in Mathematics: Fractions, Decimals and Percentages
Mathematics is an interesting subject if the basic concepts are clearly understood by children. Otherwise, it becomes one of the most difficult subjects for children. Children have different types of **misconception** in their understanding of mathematics. Some examples of **misconceptions** by students are multiplying two number always results in greater number and dividing one number by other number results is smaller number, individual discount percentage can be added arithmetically to find total discount percentage, adding decimal and fractions, and many more.
According to Swann (2001, p.147...

4 Pages
(1000 words)
Essay

...**Maths** and Statistics - Assignment #2 Q a) The arc of a circle with a radius of 5cm is subtended by an angle of 24o. What is the length of the arc? What is the area of the sector? (Hint: first convert to radians)
Radius, cm
Angle,
Angle in Radians,
Length of an arc is given by
Therefore,
≈ 2.09 cm (2d.p.)
The length of the arc is about 2.09 cm.
Area of a sector is given by
( in radians)
Therefore,
≈ 5.25 cm2 (2d.p.)
The area of the sector is about 5.24 cm2.
(b) In the diagram below the line AB is a tangent to the circle of radius x.
What is the radius of the circle? (Hint: find out the definition of a tangent)
A tangent to a circle is a straight line that touches the circle at only one point. A tangent is at right angles...

4 Pages
(1000 words)
Essay

...Q1. (i) Five-number summary of the given data is the following Minimum Qo = 22 First Quartile Q1 = 35 Median Q2 = 46 Third Quartile Q3 = 54 Maximum Q4 = 60
Inter Quartile Range IQR = Q3 – Q1 = 54 – 35 = 19
Q1. (ii) Mode = 46 (maximum frequency)
Mean
Standard Deviation
Q1. (iii) Median and Mode of the data are the same and they represent the ample in a better manner. This is because, this being a small sized sample, the outliners will significantly affect the value of the sample mean, while median and mode are relatively less affected. Hence median is the best parameter to represent this data set.
Q1. (iv) The conclusion drawn by the researcher is invalid. This is because there is no data on memory in absence of music. Also... (i)...

3 Pages
(750 words)
Speech or Presentation

...Q1) b) EMV of investing in stocks: = 0.6*2500 + 0.2*500 + 0.2*(1000) =1500+100-200 =$1400 EMV of investing in fixed interest= $1200 Since investing in stocks has a higher EMV of $1400, a risk-neutral investor will choose the option of investing in stocks.
c) In this case the $1200 that the investor can earn is fixed and will get it no matter what the state of the economy is whereas if the investor invests in stocks, his investment return will depend on lot of other factors and hence will be uncertain. An investor has to be compensated with a certainty equivalent to take on the additional risk to invest in stocks. In this case $1200 is the certainty equivalent.
d) An investor is an risk-averse investor if his certainty equivalent...

2 Pages
(500 words)
Assignment

...**MATH** PROJECT By PART 2: Assessment criteria for this unit 1 Objectives……………………………………………………………3 2 Manageable task………………...........................................................3,4
2.2 Appropriate methods for undertaking the task……………………….4
3.1 Collect relevant information………………………………………….4, 5
3.2 Performance of variety of calculations………………………………. 6, 7
3.3 Mathematical language notations……………………………………..6, 7
3.4 Use of diagrams, tables and graphs…………………………………...7, 8
3.5 Monitor & making adjustments……………. …………………………8
4.1 interpretation of results………………………………………………. 9
5.1 Conclusions……………………………………………………………10
5.2 Comments of improvements …………………………………………..11
PART 3: My comments on the assignment
I devised questionnaire for collection...

5 Pages
(1250 words)
Coursework

...
The Muslim as a Terrorist: A Societal **Misconception** of the Realities of the Current World
Abstract:
The following discussion will provide the reader with a discussion and analysis of the role that religion plays on terrorism. Although it is true that a great deal of emphasis has been directed towards the role of religion on Islamic terrorism over the past several decades, the discussion will also analyze the means by which religious conviction as such has a profound influence with respect to the manner through which an individual integrates the world around them. Through such an examination, it is the hope of this author that the reader will come to a more profound and relevant interpretation of how these factors influence the way...

7 Pages
(1750 words)
Essay

...**Math** 012 Final Examination Spring Answer Sheet **Math** 012 Intermediate Algebra ______________________________ Final Examination: Spring, 2014
Instructor __________________________
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all...

3 Pages
(750 words)
Speech or Presentation

...Society and the **Misconception** of Pit bulls Shelley Bonanni Strayer SOC100 Prof Brown-Kelly 30 July **Misconception** Of Pit Bulls Domestication of dogs began very long ago with scientific evidence of as early as fifteen thousand years ago. Scientists have gone a step ahead to explain that the grey wolves are possible ancestors of the domestic dogs we now know (Delise & others, 2007). Different theories explain how this animal eventually ended up in the homes of men, but that only remains theoretical. Having mentioned its origin, it is, therefore, justifiable to conclude that this animal innately has a nature of a wild wolf deep inside and thus, all breeds of dogs come with stigmas about them.
The paper is designed to look onto common...

4 Pages
(1000 words)
Essay

... CHAPTER 3 Solve inequality. Write the answer in interval notation (65) 5(2b -3) – 7b > 5b + 9 Then the variable is divided by a negative sign the symbol of inequality changes (Haighton, Haworth and Wake 59)
The solution for b is (-
Solve inequality. Graph the solution set and write the answer in interval notation.
(31) 6(7y + 4) – 10 > 2(10y + 13)
The solution for
CHAPTER 4 10. Complete the table of values for each equation:
4x – 6y= 8
x
y
2
0
0
-4/7
3
2/3
-4
-4
19. Graph each equation by finding the intercepts and at least one other point.
y = -1/6x + 4
x
0
24
6
12
-6
y
4
0
3
2
5
31. Use the slope formula to find the slope of the line containing each pair of point.
(-2, 5) and (3, -8)
=
The slope is
48. Identify... CHAPTER 3...

2 Pages
(500 words)
Speech or Presentation

... **Misconceptions** about theories and laws Systematic organization of information and knowledge in science results in the development of such elements as laws, theories and hypothesis all of which refer to different aspects of the discipline. Scientific laws and scientific theories have numerous similarities especially in terms of global acceptance of both and given the fact that both rely on explicit explanations. However, scientific theories are different from scientific laws. In fact, scientific theories may not always influence the formation of scientific laws as the discussion below portrays.
The lack of absolute truth in science validates the existence of laws. Laws in science refer to systematically generalized observation... Misconcepti...

2 Pages
(500 words)
Essay

...Relationship between Engine Size and MPG (**Math** Report) By Relationship between EngineSize and MPG
Abstract
Introduction
The aim of this report was to investigate the relationship between the engine size and MPG (miles per gallon) of the cars using the car sales data containing 99 car data for make, model, price (new), price (used), age, engine size and MPG.
Method
Random sampling method was used for selecting a sample of 30 cars data. A car with an engine size less than 1.8L considered as the small engine size car and a car with an engine size greater or equal to 1.8L considered as the bigger engine size cars.
Results
The results indicated that there is a strong negative linear relationship between cars engine size and its MPG. The results...

4 Pages
(1000 words)
Math Problem

... studied.
INTRODUCTION
A mathematical model is an abstract model that uses mathematical language to describe the behavior of a system. It is an accurate representation of the relationship between two or more variables relevant to a given situation or problem
The process of developing such models is known as mathematical modeling. Mathematical models are used particularly in natural sciences and engineering disciplines such as physics, biology and mechanical engineering but also in social sciences such as economics and political science.
**Mathe**matical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other model types can overlap...

4 Pages
(1000 words)
Essay

...Integration Question i) Given Let So that And dx = 2udu Substituting these values to the first term: Replacing u withThe definite integral is thus
ii) Given
Let y = x+2
And thus dy = dx
Substituting for y and dy
Then
Let u = ln y
Then
Substituting for u and du
Therefore
= 5(ln y)2 + c
= 5 [ln(x+2)]2
iii) Given
Let u =
Hence
Recall that u =
= (6.93 – 13.86) – (3.77 -11.31)
= -6.93 – 7.54
= 0.61
iv) Given
Expanding the denominator
Since the denominator is a quadratic equation, the integral becomes:
Question 2
Given
Inverse Supply function as P=6 + Q2/4 and inverse demand function P= 51-Q2
Graphically, consumer and producer surplus are indicated as below.
As shown in the diagram above, producer surplus... Question...

1 Pages
(250 words)
Math Problem

...**Maths** Assignment Number 3 Siobhan O’Connor Question Lo3 LO3.2 a) Histogram to show each distribution scaled such that the area of each rectangle represents frequency density and find the mode.
Data
Revenue
January
July
<5
27
22
5>10
38
39
10>15
40
69
15>20
22
41
20>30
13
20
30>40
4
5
For January
Mode: 40 for 10 and less than 15
For July
Mode: 69 for 10 and less than 15
b) Produce a cumulative frequency curve for each of the distribution and find the median and interquartile range
Revenue
January
Cumulative Frequency
July
Cumulative Frequency
<5
27
27
22
22
5>10
38
65
39
61
10>15
40
105
69
130
15>20
22
127
41
171
20>30
13
140
20
191
30>40
4
144
5
196
Median: (144/2)=72= Approximately 11.5
Interquartile Range: (3/4*144)-(1/4*144)=108 th... Assignment Number 3 Siobhan ...

1 Pages
(250 words)
Assignment

... Statistics Samples The interest is to determine whether the new program established to aid in improving the performance of students has an impact. As such, the sample score is 40 pairs of students. The first sample is the pretest where 40 students who are not involved in the program participate. The second sample is the posttest where 40 students are involved in the program participate. The relationship of these samples is that the pretest has corresponding posttest of the students.
Problem
The problem involves determination of the performance of the students in terms of scores. Thus, when each student (ith) score prior and after participation in the program is xi and yi respectively, it is clear that the pair (xi, yi) gives... Statistics...

1 Pages
(250 words)
Speech or Presentation