Applied Mathematics

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1. Identify 20 students as your sample. From each of the identified student, get information
about gander of student and how much do student spend (in OR) for Internet per month.
You can use any online survey tools (for example survey monkey or google forms).
a. Give the link of online survey and summaries the data in a table. (5 marks)
b. If a student selected at random, find the probability that:
i. Selected student is female and spends 0 OR per month. (2 marks)
ii. Selected student is female or spends more than 10 OR per month. (5 marks)
iii. Selected student is male spends more than 5 OR per month or female spends 10
OR per month. (5 marks)
2. Based on your collected data from question 1:
a. fill the following table and then answer the questions below. (5 marks)
how much do student spend (in OR) for
Internet per month.
Number of students
Less than or equal 5
More than 5 and less than or equal 10
More than 10 and less than or equal 15
More than 15 and less than or equal 20
More than 20
b. Draw bar chart (show elements of chart) and write a comment. (6 marks)
c. Draw pie chart (show all steps and elements of chart). (10 marks)
3. During different times of a day find the temperature in your place (you can use weather
application to get data).
a. Fill the following table: (2 marks)
b. Calculate all central tendency measurements of the temperature. (10 marks)
c. Calculate standard deviation of the temperature. (10 marks)
Date of day: …………….
Time At 1:00 am At 5:00 am At 9:00 am At 1:00 pm At 5:00 pm At 9:00 pm
Temperature
℃
Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
MEC_AMO_TEM_034_01 Page 3 of 8
4. A principal of 250 OR is deposited in an account that pays 0.064 interest compounded
yearly. Account balance function in response of time (years)is 𝑓(𝑥) = 𝑃(1 + 𝑟)
𝑥
P: initial value
r: interest compounded yearly
x: time in year
a. Find the account balance after 5 years. (5 marks)
b. By graphing show if the Account balance function is increasing or decreasing.
(11 marks)
c. After how many years the account balance will be 12000 OR. (5 marks)
5. Fill the blanks: (show all steps)
a. Write the logarithmic equation (𝒂 + 𝟒) =
𝟏
𝟐
(𝐥𝐨𝐠 𝟏𝟖𝒃
𝟑 − 𝐥𝐨𝐠(𝒍𝒏 𝒆
𝟐𝒃)) in logarithmic
form……………. (6 marks)
b. The Range of recorded covid-19 cases during Z week in Oman is …… (6 marks)
Hint: Week zero starts from 1 /March /2020 and Z is the last digit in your ID.
c. The solution of the logarithmic equation 𝐥𝐨𝐠𝟖(𝐥𝐨𝐠( 𝐥𝐨𝐠𝟐 𝒙
𝟓𝟎)) =
𝟏
𝟑
is…… (7 marks)
Guidelines:
Submit this assignment on or before 3rd/Sep/2020 at 23:59 which must include:
 All solution steps.
Applied Mathematics (FNDM AM2.1) – Summer – 20 – CW2 (Assignment) – All – QP
MEC_AMO_TEM_034_01 Page 4 of 8
 The solution must be submitted in a word file through the link available in Moodle.
 For the sketches/diagrams/drawing if need you should insert them in same word file with
solution and also you can use word file tools or Excel .
 The final assignment must have a Title page and page numbers.
 Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of
the faculty.
 Softcopy in word format is to be submitted through Turnitin link on Moodle.
 Assignment must be computer typed.
 Font – Times New Roman
 Font – Style – Regular
 Font – Size – 12
 Heading should be with Font Size 14, Bold, Capital and Underline.
 Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable
software or by pencil and insert the draw with solution.
 Each student has to do the assignment individually.
 The assignment answers should be in your own words.
Important Policies to be followed
1. Student Academic Integrity Policy*:
MEC upholds the spirit of academic integrity in all forms of academic work and any form of violation
of academic integrity shall invite severe penalty. Any benefit obtained by indulging in the act of
violation of academic integrity shall be cancelled.
All cases of violation of academic integrity on the part of the student shall fall under any of the below
mentioned categories:
1. Plagiarism
2. Malpractice
3. Ghost Writing
4. Collusion
5. Other cases

Sample Solution

Chinese militarization in the Spratly Islands has proven much more contentious in recent years as they have seen both rapid island reclamation as well as the introduction of unprecedented military capabilities. Moreover, the Spratly Islands are contested by China, Vietnam, Taiwan, the Philippines and Malaysia, and all have established constructions on some of the islands. China has been by far the most active in the expanding and equipping its islands, including the construction of large anti-aircraft guns. Experts also suspect that close-in weapons systems (CIWS) have been introduced to some of the islands to protect against cruise missile strikes. The placement of these defences shows how China is willing to defend these islands and are prepared to respond in the case of an attack. Of the islands China has developed, Fiery Cross, Mischief and Subi Reefs are the by far the most advanced (see Figure 3). Each has enough hangars to accommodate 24 combat aircraft and four larger transport planes, bunkers to house missile launchers, as well as radars that allow for the monitoring of the surrounding area (AMTI 2017). By March 2018, China had verifiably landed military transport aircraft on all three of its main islands in the Spratlys marking a major milestone in developing its military capabilities in the region. According to U.S. intelligence, China also deployed YJ-13B anti-ship cruise missiles and HQ-9B surface to air missiles on the 2nd May. Offensive capabilities such as air power, radars and missiles give China a sizable advantage in the region, causing concern for both the U.S. and other claimant countries. Overall, China’s military capabilities in the SCS are unparalleled, with Admiral Philip Davidson, Head of US Pacific Command stating that “China is now capable of controlling the South China Sea in all scenarios short of war with the United States” (CNN 2018). Figure 4 shows the observed, reported and expected capabilities China has or is likely to have from its four most equipped islands: Woody island in the Paracels and Firey Cross, Mischief and Subi Reef in the Spratlys. Once these capabilities are fully operational, China will have comprehensive control over the region. This military capacity gives China the upper hand in diplomacy and as of present, has granted it immunity from abiding to international arbitration. Further militarization has shown China’s commitment to its sovereignty claims and the lack of commitment it has to abiding by UNCLOS. The long-standing failure to comply with international l

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