Explanation

(a) Location:Tropical grasslands are located in the tropics while temperate grasslands are located in temperate latitude. Again tropical grasslands are found between 10° and 30° North and South while temperate grassland are found between 30° and 40° North and South of the Equator

(b) Climate:Tropical grassland has moderate rainfall (25-150cm) while temperate grassland has lower rainfall (40-50cm) Tropical grassland is not all the year round but temperate grassland has cold winter and warm summers. In tropical grassland, summer temperature is 32°C and 21°C while temperate grassland has 18°C in summer and —19°C in winter.

(c) Characteristics:Tropical grassland contains scattered trees while temperate grassland is almost treeless. Trees in the tropical grassland are bigger than those of temperate-grassland.jropical grasses are tough while temperate grasses are succulent. Example of tropical grass is elephant grass while temperate grass is willow.

Correct Answer: A. King Jaja of Opobo

Correct Answer: B. 2:1

Correct Answer: A) nephridia

Explanation

Earthworms are invertebrates that belong to the phylum Annelida. They are known to possess an excretory system that helps in removing waste materials from their body. The excretory organ of an earthworm is called nephridia. Nephridia are tiny, coiled tubes that are found in pairs in each segment of an earthworm's body. They are responsible for filtering waste products such as excess water, salts, and nitrogenous waste from the blood. These waste products are then excreted out of the body through tiny pores called nephridiopores present on the surface of the worm's body. Flame cells are found in the excretory system of flatworms, while malphiligan tubules are found in insects like grasshoppers, and chloragogenus cells are found in the body cavity of some invertebrates like annelids and arthropods. Kidneys are the excretory organs found in vertebrates, including humans. Therefore, the correct answer to this question is Option A: nephridia.

Correct Answer: B. giving him the chase

Correct Answer: A. S only

Explanation

A system is in neutral equilibrium if its equilibrium is independent of displacements from its original position. A marble S on a flat horizontal surface is an example.

Explanation

(a) \(p(head) = p = \frac{1}{2}; p(tail) = q = \frac{1}{2}\)

\((p + q)^{8} = p^{8} + 8p^{7} q + 28p^{6} q^{2} + 56p^{5} q^{3} + 70p^{4} q^{4} + 56p^{3} q^{5} + 28p^{2} q^{6} + 8pq^{7} + q^{8}\)

(i) p(exactly 8 heads) = \(p^{8} = (\frac{1}{2})^{8} = \frac{1}{256}\)

(ii) p(5 heads) = \(56p^{5} q^{3} = 56(\frac{1}{2})^{5} (\frac{1}{2})^{3} = \frac{7}{32}\)

p(6 heads) = \(28p^{6} q^{2} = 28(\frac{1}{2})^{6} (\frac{1}{2})^{2} = \frac{7}{64}\)

p(7 heads) = \(8p^{7} q = 8(\frac{1}{2})^{7} (\frac{1}{2}) = \frac{1}{32}\)

p(at least 5 heads) = \(\frac{7}{32} + \frac{7}{64} + \frac{1}{32} + \frac{1}{256} = \frac{93}{256}\)

(iii) p(at most 1 head) = p(0 head) + p(1 head)

p(0 head) = \(q^{8} = (\frac{1}{2})^{8} = \frac{1}{256}\)

p(1 head) = \(8p q^{7} = 8(\frac{1}{2})(\frac{1}{2})^{7} = \frac{8}{256}\)

p(at most 1 head) = \(\frac{1}{256} + \frac{8}{256} = \frac{9}{256}\)

(b) The word SHEEP has 5 letters, two of which are identical.

(i) Hence 4 letters from the word SHEEP can be arranged in \(\frac{^{5} P_{4}}{2!}\) ways.

= \(\frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = 60\).

(ii) The two Es are identical. If one of them are taken, there are 4 letters to be arranged in \(^{4} P_{4}\) ways.

= \(\frac{4!}{(4 - 4)!} = 4! = 24\).

Correct Answer: A. simplex mode

Explanation

simplex mode allows the sending of information in one direction only, which is similar to a one-way street.

Correct Answer: B. competitive

Correct Answer: A. therapeutic