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The probability that Tope passes an exam is 1/3 and probabilities that his brother

and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that

the three of them will fail the exam.


if the elasticity of demand is 1.6 and a firm increases the price of its product by 10% ,it would expect its total revenue to


The mechanism of the walker circulation and evaluation and explanation the impact of rainfall in south africa

Two electrons are 10^-5 m apart. One electron is fixed on its position. The other, originally at rest, is released. How fast is the free electron moving when it is 10^−3 m from the fixed charge? Apply conservation of energy.


A study is performed to determine how the study habits of Canadian


high school students changes over time. Which type of study is most


appropriate?


Balance the following redox reaction in an acidic medium:

Mn2+(aq) + NaBiO3(s) → Bi3+(aq) + MnO4-(aq)


The displacement of an object is given by x =sin2pi (t+0.01)m. Find amplitude of the oscillatory motion ,time period, maximum velocity , maximum acceleration and initial displacement

2. Write a script that will accept the sides of a triangle, let them be “a”, “b”, “c”. Based on these variable values determine if the triangle is right angled or not, by using Pythagoras theorem. Hint: if c2 = a2 + b2 then the given sides are right angled triangle else not a right-angled triangle.

3. Write a script that should prompt a user to enter his\her hourly rate, number of hours per day, number of days per week and number of weeks per year. Then the system computes the annual income. Hint: Boyce earns P35 per hour at his job. What would be his annual income be if he works 8 hours per day, 5 days per week, and 50 weeks per year .


1. The university with departments deals with Management Information System and Assessment Department. The school asked you to create 2 files that can be used to store student details and marks. A. Write a script called Student.sh that will accept the following student details: studentID, StudentName, ContactNo and Email. The program should add records to StudentDetails.txt under each heading, at the end of each record the program should prompt you if you want to add more records, if yes it should allow you to continue adding the records.

B. Write a shell script called Grading.sh that accept StudentID and Student Marks and student are graded using this grading criteria: 80 and above, Distinction, 79-60, Merit, 59 -50, Pass, 49-40, Supplement and 39 and below, Fail. The program should add the records to StudentGrades.txt.


The first six ionization energies, in KJ mol-1, of an element, are 1086, 2353, 4621, 6223, 37832, and 47278. In which group of the Periodic Table is this element?


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