## CHECK THESE SAMPLES OF Maths problem

... 29 May 2007 Mathematics Prove the quadratic formula by completing the square. The quadratic equation has the solutions
To prove this, we will complete the square.
Consider the general quadratic equation
with a 0. First divide both sides of the equation by a to get
which leads to
Next complete the square by adding to both sides
Finally we take the square root of both sides:
or
We call this result the Quadratic Formula and normally write...

2 Pages(500 words)Essay

...**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...

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...

10 Pages(2500 words)Essay

...has been made. Therefore, a conclusion cannot be drawn in absence of the data and without performing a suitable statistical analysis.
Q1. (vi) The data points outside the range [Q1-1.5*IQR, Q3+1.5*IQR] are termed as outliers. For the dataset this range is [6.5, 82.5]. As there is no data point outside of this range. Hence there are no outliers.
Q2. (i) The independent variable is gender or sex of the participants. The dependent variable is number of the mental rotation **problems** solved in five minutes.
Null Hypothesis is Ho: 1 = 2
Where 1 and 2 are average number of the mental rotation **problems** solved by the male and female students respectively.
The alternate hypothesis is directional as the...

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...

5 Pages(1250 words)Coursework

...help on this final examination.
Name _______________ Date___________________
**Math** 012 Final Examination
Spring, 2014
2
Answer Sheet
**Problem**
Solution
Number
WORK: slope has a ‘negative value’ ; y-intercept is y = -2(0) + 2 = 2 while x-intercept is
0 = -2x + 2 --- 2x = 2 which upon division by 2 (both sides) makes x = 1
In the graph, these points (0, 2) and (1, 0) are plotted.
1 ANSWER: B
WORK: multiplying all members of the inequality by 4, -20 ≤ -3x + 5 ≤ 16 then, subtracting
5 from each side makes -25 ≤ -3x ≤ 11 so that upon division by -3 to isolate the...

3 Pages(750 words)Speech or Presentation

...
(71) 5x – 6y = -2 To eliminate x multiply first equation by 2 and the second equations by 1
10x – 12y = 7
Subtract the two equations
Solution: inconsistent system
(73) x – 6y = -5 to eliminate x multiply first equation by 4 and the second by 1
-24y + 4x = -20
(The two equations are on the same line)
Solution: Dependent equations
Chapter 5.3 Solve General Two Variable **Problems**
(3). Through 2012, the University of Southern California football team played in 13 more Rose Bowl games than the University of Michigan. All together, these teams have appeared in 53 Rose Bowls. How many appearances did each team make in the Rose Bowl?
Let University of Southern California football team be x... ...

2 Pages(500 words)Speech or Presentation

...**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... of method is always fast...

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