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

Explanation

Let \(p(head) = p = \frac{1}{2}\) and \(p(tail) = q = \frac{1}{2}\)

\((p + q)^{4} = p^{4} + 4p^{3}q + 6p^{2}q^{2} + 4pq^{3} + q^{4}\)

The probability of equal heads and tails = \(6p^{2}q^{2} = 6(\frac{1}{2}^{2})(\frac{1}{2}^{2})\)

= \(\frac{6}{16} = \frac{3}{8}\).

Correct Answer: C. France

Correct Answer: B. each member has a fixed output above which it is not expected to produce

Correct Answer: C. possibl failure of fertgilization is avoided

Correct Answer: A) Niger State

Explanation

To answer the question, you need to know where Gurara Falls is located. Gurara Falls is located in Niger State, so Option A, Niger State, is the correct answer.

It is important to note that knowing the locations of natural landmarks and tourist attractions is important for students studying geography or tourism. Additionally, it is important for anyone interested in traveling or exploring different parts of the world.

Correct Answer: C) its vapour pressure equals the external pressure

Explanation

Boiling is the process by which a liquid turns into a gas as it is heated. This occurs when the temperature of the liquid is high enough for its molecules to have enough energy to overcome the attractive forces holding them together. In simpler terms, the molecules in the liquid move more rapidly, and some of them gain enough energy to escape as gas.

The vapour pressure of a liquid is the pressure exerted by its vapour when it is in equilibrium with the liquid. As the temperature of a liquid increases, its vapour pressure also increases. When the vapour pressure of the liquid becomes equal to the external pressure (usually atmospheric pressure), the liquid starts to boil.

This means that boiling points can vary depending on the external pressure. For example, at high altitudes, where the atmospheric pressure is lower, liquids boil at lower temperatures than they do at sea level.

Correct Answer: A. An increase in demand for X will increase supply of Y

Correct Answer: D) butane and pentane

Correct Answer: D. gestation

Explanation

(a) There was a feast of the Jews which Jesus attended in Jerusalem. There, by the sheep gate was a pool called Bethzatha by which laid a multitude of invalids. There, Jesus met a man who had been lying ill for thirty eight years and asked him if he wanted to be healed. The man said that he had no man to carry him into the water. Jesus healed him by asking him to take his pallet and walk. The man was healed and he took up his pallet and walked. This happened on the Sabbath day. The man who had just been healed by Jesus was accused by the Jews of contravening the Sabbath law by carrying his pallet on the Sabbath. They enquired from him the man who bid him to carry his pallet on the Sabbath. He was unable to identify the person who had cured him and gave him the order. Jesus had withdrawn from the crowd to avoid curiosity.

(b) Lessons which can be drawn from the story include:

(i) Jesus shows compassion for people.

(ii) Sickness is sometimes associated with sin, therefor we must avoid sin.

(iii) Jesus has power over sickness.