Correct Answer: B. \(8\sqrt{3}\)

Explanation

\((1 + 2\sqrt{3})^{2} = 1 + 4\sqrt{3} + 12 = 13 + 4\sqrt{3}\)

\((1 - 2\sqrt{3})^{2} = 1 - 4\sqrt{3} + 12 = 13 - 4\sqrt{3}\)

\(13 + 4\sqrt{3} - (13 - 4\sqrt{3}) = 13 + 4\sqrt{3} - 13 + 4\sqrt{3}\)

= \(8\sqrt{3}\)

Correct Answer: C. coup d

Correct Answer: B. at

Correct Answer: C. Food predation, disease and accumulation of metabolites

Correct Answer: D. USB Port

Correct Answer: A. proclaim the kingdom of God

Correct Answer: B) Retailing

Explanation

Wholesaling, on the other hand, refers to the process of selling goods in large quantities to retailers or other businesses. This does not involve coin-operated machines.

Personal selling involves a salesperson directly interacting with the customer to sell a product or service. This is different from using coin-operated machines.

Mail-order selling involves purchasing goods through mail or online orders and having them delivered to the customer's address. This is also different from using coin-operated machines.

In summary, the use of coin-operated machines to sell goods is a form of retailing, which is the correct answer to the question.

Correct Answer: B. \(\frac{3}{8}\)

Explanation

Let the probability of getting a head = p = \(\frac{1}{2}\) and that of tail = q = \(\frac{1}{2}\)

\((p + q)^{3} = p^{3} + 3p^{2}q + 3pq^{2} + q^{3}\)

In the equation above, \(p^{3}\) and \(q^{3}\) are the probabilities of 3 heads and 3 tails respectively

while, \(p^{2}q\) and \(pq^{2}\) are the probabilities of 2 heads and one tail and 2 tails and one head respectively.

Probability of exactly 2 heads = \(3p^{2}q = 3(\frac{1}{2})^{2}(\frac{1}{2})\)

= \(\frac{3}{8}\)

Explanation

(a) The reasons for advertising the Fruit Juice:

(i) To create awareness for the fruit juice.

(ii) To increase sales of the fruit juice.

(iii) To remind the customers of the existence of the fruit juice.

(iv) To persuade prospective customers to continue buying the fruit juice.

(v) To complement personal selling efforts.

(vi) To inform potential buyers of the availability of the fruit juice in the market.

(vii) To encourage brand loyalty.

(viii) To encourage marketing intermediaries tO stock the fruit juice.

(ix ) To help consumers Identify the juice at point of sales.

(b) The advantages of choosing television as a

(i) lt combines audio and visual impacts in its presentation.

(ii) It demonstrates the use of the product.

(iii) It has a wider coverage reach.

(iv) It has the ability to reach both literate and illiterate audiences.

(v) It has wider impact on the audience as a result of the use of celebrities.

(vi) It has high degree of believability because of its audio and visual presentation.

(vii) It has a long lasting memory in the audience because of the use of jingles.

The disadvantages of using television as a medium:

(i) It is expensive because of its high cost of production.

(ii) It has short life span because of its low frequency.

(iii) It has less audience selectivity.

(iv) lIt has no immediate feedback.

(v) Its effectiveness cannot be guaranteed because the target audience might be too busy to watch.

(vi) Unstable power supply can affect the effectiveness of television advertisement

(vii) False information can be transmitted to consumers about a product.

(viii) Some target audience might not have the means to purchase television sets.

Correct Answer: B. 5.4