Correct Answer: C. 1.5

Explanation

x? = \(\frac{ 14 + 15 + 16 +17 + 18 + 19}{6} = \frac{99}{6}\) = 16.5

M . D = \(\frac{ (14 - 16.5) + (15 - 16.5) + (16 - 16.5) + (17 - 16.5) + (18 - 16. 5) + (19 - 16.5) }{ 6}\)

M.D = \(\frac{(-2.5) + (-1.5) + (-0.5) + (0.5) + (1.5) + (2.5)}{6}\)

Taking the absolute value of the deviations

M.D = \(\frac{2.5 + 1.5 + 0.5 + 0.5 + 1.5 + 2.5}{6}\)

M.D = \(\frac{9}{6}\) = 1.5

Explanation

If (x + 1) and (x - 2) are factors of the polynomial \(g(x)\), then \(g(-1) & g(2) = 0\)

i.e. \(g(-1) = (-1)^{4} + a(-1)^{3} + b(-1)^{2} - 16(-1) - 12 = 0\)

\(1 - a + b + 16 - 12 = 0 \implies a - b = 5 ... (1)\)

\(g(2) = (2)^{4} + a(2)^{3} + b(2)^{2} - 16(2) - 12 = 0\)

\(16 + 8a + 4b - 32 - 12 = 0 \implies 8a + 4b = 28 ... (2)\)

From (1), \(a = 5 + b\).

(2) becomes : \(8(5 + b) + 4b = 28 \implies 40 + 8b + 4b = 28\)

\(40 + 12b = 28 \implies 12b = -12\)

\(b = -1\)

\(a = 5 + b = 5 + (-1) = 4\)

\((a, b) = (4, -1)\)

Correct Answer: D. ϕ

Correct Answer: A. hero

Correct Answer: D. AgCI.

Correct Answer: A. Buying in bulk and warehousing

Correct Answer: D. cheque

Explanation

Current account holders use cheques to withdraw money from their bank accounts. A cheque is an order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.

Explanation

(a)Explanation of terms used in animal production

(i)Flushing

Flushing is the practice of feeding female animals with good quality feed 2-3 weeks before and after mating with a male animal in order to increase conception rate.

(ii)Castration

This is the process of removing the testicles of a male animal or rendering the testicles unproductive by cutting off blood and nerve connections to the testicles.

(iii)Culling

This is the removal of unproductive/diseased/aggressive birds from a flock.

(b)Advantages of terms

(i)Flushing

• Increases the chances of multiple births
• Improves the health of female animals/prepares the animal’s health for conception
• Enables the female animal to withstand the stress and strains of pregnancy

(ii)Castration

• Prevents indiscriminate mating
• Removes bad/unpleasant/strong odour from the meat of male animals e.g. goat
• Makes male animals docile and easy to handle
• Enhances feed conversion/efficiency ratio/increases carcass weight of male animals
• Improves the quality of meat
• Prevents sexually transmitted diseases
• Prevents perpetuation of undesirable characteristics/traits

(iii)Culling

• Removes unproductive birds from the flock
• Reduces wastage of feed on unproductive/diseased birds
• Removes aggressive/cannibalistic birds from the flock
• Creates more space for productive birds
• Reduces the spread of diseases

(c)Functions of survey equipment

(i)Prismatic compass

• For determining position and displacement
• Taking bearings
• Measuring angular distances

(ii)Measuring tape

• For measuring lengths (horizontal and vertical)
• Determining definite points on straight lines
• Marking right-angle triangle during farm layout

(d)Difference between floriculture and aquaculture

Floriculture is the production and management of ornamental plants such as trees, shrubs and flowers

While

Aquaculture is the production of fishes and other aquatic animals in different water bodies

Correct Answer: D. Confederal

Correct Answer: B. a disastrous