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In late 1990’s, the Department of Education started to get concern about the health of every public school students.
According to their research, a child performs well if he/she is getting the right nutrition their body needs. In order
solve this, they started a feeding program and monitors each student health records. Adapt the method of monitoring
the students’ Body Mass Index (BMi) helps the department to solve this concern . The body mass index (BMi) is
used to estimate the risk of weight-related problems based on a student’s height and mass. it was designed by the
mathematician Adolphe Quetelet in the 1800s and is sometimes referred to as the Quetelet index. The BMI is
computed as
In this formula, mass is in kilograms and height is in meters. The health risk associated with a BMI value are
• Underweight < 18.5
• Normal weight ≥ 18.5 and < 25
• Overweight ≥ 25 and < 30
• Obese ≥ 30
Write a complete program that prompts the user for the radius of a sphere, and calculates and
prints the volume of that sphere. Use a function sphereVolume that returns the result of the
following expression: (4/3) × π × r3 which is equivalent to
( 4.0 / 3.0 ) * 3.14159 * pow( radius, 3 ) in C++ code.
Sample output
Enter the length of the radius of your sphere: 2
matrix rotation
Pamela borrows an amount of money for emergency house repairs. The interest on the loan is compounded
quarterly. After four years the debt accumulated by R7 980,00 to the amount of R32 923,00. The yearly
interest rate, expressed as a percentage and rounded to two decimal places, at which the money was borrowed,
is
According to a factory employer, the mean working time of workers in the factory is 6 hours with a standard
deviation of 0.5 hours. A researcher interviewed 50% of the employees and found out that their mean working
time is 8 hours with a standard deviation of 1 hour. The 𝛼 level is 0.05.
A helicopter pilot throws a ball downwards from an unknown height above the ground. The ball has an initial speed of 14.1 m/s. The ball hits the ground 9.2 s later. Find the initial height of the ball above the ground
Instruction: Use the seven-step method to solve the following.
In a vegetables nursery, the caretaker thinks that the lengths
of seedlings in a box sprayed with a new kind of fertilization
has an average height of 16cm after three days and a
standard deviation of 5cm. One researcher randomly selected
60 such seedlings and calculated the mean height to be 12cm
and standard deviation was 5cm. Will you conduct a onetailed test or two tailed test. Proceed with the test using
α=0.05..
Write chemical reaction to produce phosphatidyl choline from phosphatidic acid.
Write the oxidation half-reaction and reduction half-reaction, and shorthand electrochemical notation for the following.
1. Mg+H^+ -> Mg^ 2+ +H 2
2. KI + Cl2 -> KCl + I2
3. Cr^ + +Sn^ 4+ Cr^ 3+ +Sn^ 2+
4. 3 Hg^ 2+ +2 Fe (s) 3 Hg 2 +2 Fe^ 3+
5. 2 As (n) + 3 Cl₂ (g) → 2 AsCla
6. NaBr + Cl₂ ⇒ NaCl + Br₂
7. F*e_{2}*O_{3} + CO -> Fe + C*O_{2}
8. CO + I_{2}*O_{5} -> C*O_{2} + I_{2}
2 Fe^ 3+ (aq) +Sn^ 2+ 2 Fe^ 2+ +Sn^ 4+ (aq)
10. Chlorine gas oxidises Fe2+ ions to Fe³+ ions. In the process, chlorine is reduced to chloride ions.
Calculate the entropy change, So for the following process.
a. Melting of ice at 0°C (heat of fusion of ice is 6.02 kJ/mol)
