Reference no: EM132613436

FNDM AM2.1 Applied Mathematics - Middle East College

Learning Outcome 1: Sketch exponential and logarithmic functions and solve exponential and logarithmic equations

Learning Outcome 2: Calculate probability and basic statistical measures

Assignment Objective

The assignment is to check if the students understand the topics in how to sketch exponential function, low of logarthmic, solve exponential and logarithmic equations, Calculate probability and basic statistical measures. Also to check that the students be able to understand application of the above concepts using real life problems.

Assignment Tasks

Question 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.
b. If a student selected at random, find the probability that:

i. Selected student is female and spends 0 OR per month.
ii. Selected student is female or spends more than 10 OR per month.
iii. Selected student is male spends more than 5 OR per month or female spends 10 OR per month.

Question 2. Based on your collected data from question 1:

a. fill the following table and then answer the questions below.

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.
c. Draw pie chart (show all steps and elements of chart).

Question 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:

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 ?

b. Calculate all central tendency measurements of the temperature.
c. Calculate standard deviation of the temperature.

Question 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.
b. By graphing show if the Account balance function is increasing or decreasing.
c. After how many years the account balance will be 12000 OR.

Question 5. Fill the blanks: (show all steps)

a. Write the logarithmic equation (a + 4) = 1/2 (log 18b³ - log(ln e^2b)) in logarithmic form................

b. The Range of recorded covid-19 cases during Z week in Oman is ......

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 x⁵⁰)) = 1/3 is......