Explanation

The functions or roles of the Assembly of Heads of State and Governments of the Organization of African Unity (0.A.U) are: (i) It acts as the highest decision-making organ of the O.A.U.

(ii) It discusses matters of common interest of member states.

(iii) It coordinates and harmonises the general policies of the organisation.

(iv) It appoints the important officers of the organisation such as the Secretary General.

(v) It has power to establish specialized commissions.

(vi) It examines and reviews the structure, composition and functions of all other organs and specialized agencies of the organisation.

(vii) It considers reports from the secretariat.

(viii) It appoints adhoc committees to settle disputes involving member states.

(ix) It decides on the admission of new members.

(x) It considers and approves proposals for amendments of the charter of the organisation.

(xi) It approves the regulations governing the function and conditions of services of the Administrative Secretary General, his assistants and other staff.

Correct Answer: C. preventing the extinction of some wild animals

Correct Answer: C. chronometer

Explanation

(b) Mode = 38.4

(c) Assumed mean, A = 43 days

Mean \(\bar{x} = A + \frac{\sum fd}{\sum f}\)

= \(43 + \frac{-145}{40}\)

= \(43 - 3.625\)

= \(39.375\)

(d) Number of batteries that will live for less than 31 days or more than 45 days = 4 + 6 + 2 = 12

\(%age = \frac{12}{40} \times 100% = 30%\)

Correct Answer: A) enter

Explanation

The choice that completes the text and conforms to the conventions of Standard English is A) enter. To survive when water is scarce, embryos inside African turquoise killifish eggs enter a dormant state known as diapause.

Correct Answer: C. NaCI

Correct Answer: D. 3x²-7x-6=0

Explanation

\(x = -\frac{2}{3} \implies x + \frac{2}{3} = 0\)

\(x = 3 \implies x - 3 = 0\)

\(\implies (x - 3)(x + \frac{2}{3}) = 0\)

\(x^2 - 3x + \frac{2}{3}x - 2 = 0\)

\(x^2 - \frac{7}{3}x - 2 = 0\)

\(3x^2 - 7x - 6 = 0\)

Explanation

(a) \(7(x + 4) - \frac{2}{3}(x - 6) \leq 2[x - 3(x + 5)]\)

Multiply through by 3 to clear the fraction :

\(21(x + 4) - 2(x - 6) \leq 6[x - 3(x + 5)]\)

\(21x + 84 - 2x + 12 \leq 6x - 18x - 90\)

\(19x + 96 \leq -12x - 90\)

\(19x + 12x \leq -90 - 96\)

\(31x \leq - 186\)

Hence, \(x \leq -6\).

(b) Let : t represent number of tricycles; and b represent number of taxicabs

Then \(t + b = 20 ... (1)\)

\(2t + 4b = 66 .... (2)\)

From (1), b = 20 - t. Put that into eqtn (2), we have:

\(2t + 4(20 - t) = 2t + 80 - 4t = 66\)

\(80 - 66 = 14 = 2t \)

\(t = 7\)

The transport company has 7 tricycles.

Correct Answer: B. goods are dispatched to agent through transporters

Correct Answer: B. Claudius