The table shows the distribution of the heights of a group of people.

(a) Draw a histogram to illustrate the distribution.

(b) Using an assumed mean of 1.1m, find, correct to one decimal place, the mean height of the group.

Accrual accounting differs from cash accounting because it recognizes

• A. prepayment and cash
• B. cash and creditors
• C. cash and debtors
• D. debtors and creditors

A person who buys and sell goods and services is called a ……………………….

• A. Church goer
• B. Victim
• C. Trader
• D. Traditionalist

One way of being infected with HIV/AIDS is through?

• A. the use of unsterilized sharp objects
• B. sitting close to HIV/AIDS patients
• C. having handshakes with persons living with HIV/AIDS
• D. sharing clothes with HIV/AIDS infected persons

_______ is a large mass of igneous mound with a dome-shaped upper surface and a level base?

• A. Laccolith
• B. Lopolith
• C. Phacolith
• D. Batholith

The most common tree in the desert is the

• A. date
• B. acacia
• C. pine
• D. larch

Firms are often set up close to each other in order to take advantage of?

• A. supply of skilled labour
• B. agglomeration economies
• C. internal economies of scale
• D. external economies of scale

Which of the following software is best suitable for keeping records during national population census?

• A. Word Processing
• B. Spreadsheet
• C. Graphic
• D. Database

(a) Explain briefly the purpose of earthing electrical appliance.

(b) Why does the light frorr bulb connected to a simple cell dim and eventually goes off after a while?

(c) A coil of incidence 0.007 H, a resistor of resistance 8 \(\Omega\) and a capacitor capacitance 0.001 F are connected in series an a.c. source of frequency \(\frac{500}{\pi}\)Hz. If the r.m.s voltages across the coil, the resistor and capacitor are 30v, 20v and 70v respectively;

(i) draw a vector diagram to illustrate the voltage across the components in the circuit.

(ii) Calculate the: (\(\alpha\)) r.m.s voltage of the source

(\(\beta\)) r.m.s current in the circuit;

(\(\gamma\)) power dissipated in the circuit.

iii) write down the sinusoidal equation for the r.m.s voltage, V, in terms of the time, t.

Environmental degradation is more associated with

• A. localization of industries
• B. location of industries
• C. decreased urbanization
• D. urban-rural migration