Correct Answer: B. genetic and environmental factors

Correct Answer: A. to

Correct Answer: A. innuendo

Correct Answer: C. life without ambition

Correct Answer: d) Is on a higher ground

Correct Answer: A) P > AVC

Explanation

In order to understand why a firm will continue to produce in the short-run despite running at a loss, we need to discuss the relationship between a firm's price (P) and its average variable cost (AVC).

A firm has two types of costs: fixed costs and variable costs. Fixed costs, such as rent or salaries, do not change with the level of production. Variable costs, on the other hand, depend on the amount of output produced, such as raw materials or labor. Average variable cost (AVC) is calculated by dividing the total variable cost by the quantity of output.

Now, let's analyze the different options:

Option A: P > AVC (Correct)

If a firm's price is greater than its average variable cost, it means that it can cover its variable costs and contribute towards covering its fixed costs, even though it's running at a loss. Since fixed costs have to be paid regardless of production, the firm will continue to produce in the short-run, hoping to minimize its losses.

Option B: P = AVC

If a firm's price is equal to its average variable cost, it means that the firm can cover its variable costs but not its fixed costs. In this case, the firm is indifferent between producing and not producing, since there's no contribution towards fixed costs. This option is not ideal for the firm to continue producing in the short-run.

Option C: P< AVC

If a firm's price is less than its average variable cost, it means that the firm cannot cover its variable costs, let alone its fixed costs. In this situation, the firm would incur a greater loss by continuing to produce, so it should shut down production in the short-run.

Option D: P ? AVC

This option implies that price is either greater than, equal to, or less than average variable cost. It doesn't provide enough information to determine whether the firm should continue to produce in the short-run, so it's not the correct answer.

In conclusion, a firm running at a loss will continue to produce in the short-run if its price is greater than its average variable cost (Option A: P > AVC), as it can cover its variable costs and contribute towards covering its fixed costs, minimizing its losses.

Correct Answer: A. forbidden even in small quantity

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: D. markting concept

Correct Answer: D) God can use anyone regardless of their gender and tribes

Explanation

The story of Deborah the Prophetess teaches us a lesson that God can use anyone regardless of their gender and tribe. Deborah was a woman who served as a judge and leader in ancient Israel. Despite societal norms that placed limitations on women, God chose her to lead Israel in battle against their enemies. This shows us that God values all people equally, regardless of their gender or background.

Option A, which states that women are not good warriors, is incorrect because the story of Deborah shows that she was a successful leader in battle. Option B, which says that women should not be allowed to take leadership, is also incorrect as God chose Deborah to lead Israel. Option C, which suggests that women's rights should be fought for by all, while a noble cause, is not specifically the lesson we learn from the story of Deborah.

In conclusion, the correct answer to the question is option D, which emphasizes that God can use anyone, regardless of their gender and background, to achieve His purpose. It is important to note that this lesson applies not just to women, but to all people, regardless of their gender, background, or any other factor.