Explanation

(a) The Jews always regarded themselves as descendants of Abram; as God's chosen people. Unfortunately for them, they were unable to recognize the place of Jesus in God's plan for man's salvation and therefore, they rejected him as the son of God. Their privileged position was, therefore, transferred to those who, through faith, believe in Jesus. Peter, therefore, admonished the believers in their new status, to remember that they were formerly no people in the sight of, God, but owing to their belief and faith through Jesus, they become children of God. Peter, therefore, cautioned that they should henceforth maintain good conduct among the Gentiles or unbelievers, so that, in case the latter spoke against them as wrong doers, they might see their good works and glorify God.

(b) Peter expects Christians to subject themselves to civil authority and institutions for the Lord's sake, for God has set them up to punish wrong doers and praise those who do right. It is God's will that by doing right, they would put to silence the ignorance of the foolish men. He also teaches that as men who live under the freedom of Christ, they should not use their freedom as a cover-up for evil. As servants of God, they should honour all men, love the Christian brotherhood, fear God and honour the emperor (king). Finally, as Christian servants, they should be submissive to their earthly masters in all respects. God approves of those who, being mindful of God, endure pain while suffering unjustly.

Explanation

(a)Subsistence farming: This is when the farmer produces for his family and hardly has any remainder for sale.

(b) Co-operative agriculture: farmers group themselves into co-operatives with the aim of enjoying the benefits of their co-operation in farming.

(c) Plantation agriculture: involves large scale farming of tree crops like oranges, cocoa, kolanuts. It is usually capital intensive.

(d) Mechanized agriculture: This is a large scale method of farming which involves the use of heavy equipment like tractors, harvesters etc. It is usually capital intensive.

(e) Peasant farming: This is a small scale farming by peasant farmers. It is usually owned and managed by Individual farmers. It is characterized by low capital base

Correct Answer: A. pleading

Correct Answer: A. Peter's

Explanation

(a)(i) P(A) = \(\frac{2}{3}\) ; P(B) = \(\frac{5}{8}\) ; P(C) = \(\frac{3}{4}\).

\(P(A \cap B \cap C) = P(A) \times P(B) \times P(C)\)

= \(\frac{2}{3} \times \frac{5}{8} \times \frac{3}{4} = \frac{5}{16}\)

(ii) P(A') = \(1 - \frac{2}{3} = \frac{1}{3}\)

P(B') = \(1 - \frac{5}{8} = \frac{3}{8}\)

P(C') = \(1 - \frac{3}{4} = \frac{1}{4}\)

\(P(A' \cap B' \cap C') = P(A') \times P(B') \times P(C')\)

= \(\frac{1}{3} \times \frac{3}{8} \times \frac{1}{4} \)

= \(\frac{1}{32}\)

(iii) P(A and B pass, C fails) = \(\frac{2}{3} \times \frac{5}{8} \times \frac{1}{4} = \frac{5}{48}\)

P( A and C pass, B fails) = \(\frac{2}{3} \times \frac{3}{4} \times \frac{3}{8} = \frac{3}{16}\)

P(B and C pass, A fails) = \(\frac{5}{8} \times \frac{3}{4} \times \frac{1}{3} = \frac{5}{32}\)

P(only two of the boys pass) = \(\frac{5}{48} + \frac{3}{16} + \frac{5}{32} = \frac{43}{96}\)

(b) Let the cost price be x

% gain = \(\frac{\text{actual gain}}{\text{cost price}} \times 100%\)

\(20 = \frac{36,000 - x}{x} \times 100%\)

\(\frac{36,000 - x}{x} = \frac{1}{5}\)

\(5(36,000 - x) = x \implies 180,000 - 5x = x\)

\(180,000 = x + 5x = 6x\)

\(x = N30,000\)

Discount (5%) : \(\frac{5}{100} \times N36,000 = N1,800\)

Selling price : \(N(36,000 - 1,800) = N34,200\)

Actual gain : \(\frac{34,200 - 30,000}{30,000} \times 100% \)

= 14%

(a)(i) P(A) = \(\frac{2}{3}\) ; P(B) = \(\frac{5}{8}\) ; P(C) = \(\frac{3}{4}\).

\(P(A \cap B \cap C) = P(A) \times P(B) \times P(C)\)

= \(\frac{2}{3} \times \frac{5}{8} \times \frac{3}{4} = \frac{5}{16}\)

(ii) P(A') = \(1 - \frac{2}{3} = \frac{1}{3}\)

P(B') = \(1 - \frac{5}{8} = \frac{3}{8}\)

P(C') = \(1 - \frac{3}{4} = \frac{1}{4}\)

\(P(A' \cap B' \cap C') = P(A') \times P(B') \times P(C')\)

= \(\frac{1}{3} \times \frac{3}{8} \times \frac{1}{4} \)

= \(\frac{1}{32}\)

(iii) P(A and B pass, C fails) = \(\frac{2}{3} \times \frac{5}{8} \times \frac{1}{4} = \frac{5}{48}\)

P( A and C pass, B fails) = \(\frac{2}{3} \times \frac{3}{4} \times \frac{3}{8} = \frac{3}{16}\)

P(B and C pass, A fails) = \(\frac{5}{8} \times \frac{3}{4} \times \frac{1}{3} = \frac{5}{32}\)

P(only two of the boys pass) = \(\frac{5}{48} + \frac{3}{16} + \frac{5}{32} = \frac{43}{96}\)

(b) Let the cost price be x

% gain = \(\frac{\text{actual gain}}{\text{cost price}} \times 100%\)

\(20 = \frac{36,000 - x}{x} \times 100%\)

\(\frac{36,000 - x}{x} = \frac{1}{5}\)

\(5(36,000 - x) = x \implies 180,000 - 5x = x\)

\(180,000 = x + 5x = 6x\)

\(x = N30,000\)

Discount (5%) : \(\frac{5}{100} \times N36,000 = N1,800\)

Selling price : \(N(36,000 - 1,800) = N34,200\)

Actual gain : \(\frac{34,200 - 30,000}{30,000} \times 100% \)

= 14%

Correct Answer: C. 510.2

Explanation

q = 10\(^{2.7078}\)

Antilog of 2.7078 = 510.2

Correct Answer: C. towns perform more tertiary functions

Correct Answer: C. break embryo dormancy

Correct Answer: D. Evapotranspiration

Correct Answer: D. Poster