Correct Answer: A. freedom

Explanation

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Explanation

p(have valid license) = p = 0.8

p(no valid license) = q = 0.2.

The binomial probability distribution is

\((p + q)^{6} = p^{6} + 6p^{5} q + 15p^{4} q^{2} + 20p^{3} q^{3} + 15p^{2} q^{4} + 6p q^{5} + q^{6}\)

(a) p(2 have valid licenses) = \(15p^{2} q^{4}\)

= \(15 (0.8)^{2} (0.2)^{4} = 15(0.64)(0.0016)\)

= \(0.01536 \approxeq 0.015\) (3 d.p)

(b) p(more than 3 have valid licenses) = \(p^{6} + 6p^{5} q + 15p^{4} q^{2}\)

= \((0.8)^{6} + 6(0.8)^{5} (0.2) + 15(0.8)^{4} (0.2)^{2}\)

= \(0.262144 + 0.393216 + 0.24578\)

= \(0.90112 \approxeq 0.901\) (3 d.p)

(c) p(at least 5 have valid licenses) = \(p^{6} + 6p^{5} q\)

= \((0.8)^{6} + 6(0.8)^{5} (0.2)\)

= \(0.262144 + 0.393216\)

= \(0.65536 \approxeq 0.655\).

Correct Answer: C. Ahab

Explanation

The reign of King Ahab is often associated with significant disobedience and idolatry in Israel which led to God's displeasure and wrath. The prophet Elijah confronted Ahab and his wife Jezebel for their promotion of Baal worship and other sinful practices. A specific incident illustrating God's wrath during Ahab's reign is the confrontation on Mount Carmel, where Elijah challenged the prophets of Baal (1 Kings 18). Ahab's reign is often considered a period of great apostasy in Israel's history.

Correct Answer: D. 3

Explanation

\(\frac{3}{5}\)(2x - 1) = \(\frac{1}{4}\)(5x - 3)

\(\frac{6x}{5} - \frac{3}{5} = \frac{5x}{4} - \frac{3}{4}\)

\(\frac{6x}{5} - \frac{5x}{4} = \frac{3}{5} - \frac{3}{4}\)

\(\frac{24x - 25x}{20} = \frac{12 - 15}{20}\)

\(\frac{-x}{20} = \frac{-3}{20}\)

-20x = -60

x = \(\frac{-60}{-20}\)

x = 3

Correct Answer: B) Accounting Policy

Explanation

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Correct Answer: C. mortality rate

Explanation

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Explanation

(a) The specific latent heat of fusion of ice is \(3.4 \times 10^{5}Jkg^{-1}\) means that \(3.4 \times 10^{5} J\) of hoat energy is required to change 1kg mass of ice from solid state to the liquid state without a change in temperature.

Weigh a clean, dry copper calorimeter empty, together with stirer. Half fill the calorimeter with water previously warmed to about 8°C above room temperature and reweigh it to find the mass of water. Record the temperature of the water when it is say about 5°C above room temperature and then immediately add small pieces of ice, to the water. Stir the water until all the ice is melted before adding another piece. Continue until final temperature is 5°C below the room temperature. Record this temperature. Finally, reweigh the calorimeter to find the mass of ice melted.

Calculations: Heat gained by ice in forming water = Heat lost by water and calorimeter

\(M_{1} L + M_{1} C_{w} \theta_{1} = (M_{w} C_{w} + M_{c} C_{c}) \Delta \theta\)

\(\therefore L = \frac{(M_{w} C_{w} + M_{c} C_{c}) \Delta \theta - M_{1} C_{w} \theta_{f}}{M_{1}}\)

where \(M_{1} - \text{mass of ice}\)

\(M_{c} - \text{mass of calorimeter}\)

\(C_{w} - \text{specific heat capacity of water}\)

\(C_{c} - \text{specific heat capacity of calorimeter}\)

\(\theta_{f} - \text{final temperature}\)

\(\Delta \theta - \text{change in temperature of calorimeter and water}\)

(c) In a solid, such as ice, the molecules, which are held together by inter molecular forces, vibrate about a mean position. As ice absorbs more heat, the vibration of the molecules have enough energy to overcome the force binding them together. They are now free to move about in a random fashion as in a liquid.

Correct Answer: D. 5678.

Explanation

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Correct Answer: A. 5.8A

Explanation

Q = I2Rt

I = \(\sqrt{\frac{Q}{Rt}}\)

= \(\sqrt{\frac{8000}{12 \times 20}}\)

= 5.8

Correct Answer: D. increase demand and create scarcity

Explanation

To prevent prices from falling further, the government may adopt “minimum price legislation” to protect the interests of farmers or producers or suppliers. The immediate effect of this price ceiling is the emergence of excess demand or persistent shortage of the commodity.