Correct Answer: b. Cocoa

Explanation

\(\sum fx = 15 + 4x - 4 + 5x + 54 + 28 + 8 = 101 + 9x\)

\(\sum f = 5 + x - 1 + x + 9 + 4 + 1 = 18 + 2x\)

\(\bar{x} = \frac{\sum fx}{\sum f}\)

\(5 = \frac{101 + 9x}{18 + 2x} \implies 101 + 9x = 5(18 + 2x)\)

\(101 + 9x = 90 + 10x \implies 101 - 90 = 10x - 9x\)

\(11 = x \)

(b)(i) Mode = 5.

(ii) Median

Frequency = 18 + 2(11) = 40.

Median position = \(\frac{40}{2} = 20\)

20th position = 5.

(c) No of students that scored at least 7 marks = 4 + 1 = 5.

Probability of scoring at least 7 marks = \(\frac{5}{40} = \frac{1}{8}\)

Correct Answer: C. m + 2p

Explanation

Given: \(log_a 3\) = m and \(log_a 5\) = p

\(log_a 75\) = \(log_a (3 × 25)\)

= \(log_a (3 × 5^2)\)

= \(log_a 3 + log_a 5^2\)

= \(log_a 3 + 2log_a 5\)

Since \(log_a 3\) = m and \(log_a 5\) = p

∴ \(log_a 75\) = m + 2p

Correct Answer: C. 240?3 ms^-1

Explanation

Velocity \(\alpha \sqrt{temperature}\)

\(\frac{V_1}{V_2} = \sqrt{\frac{T_1}{T_2}}\)

therefore, \(\frac{360}{V_2} = \sqrt{\frac{27 + 273}{127 + 273}}\)

\(V_2 = 240\sqrt{3}\)m/s

Correct Answer: A. entourage

Correct Answer: A. stumble in them

Correct Answer: D) Help in the distribution of food

Explanation

This Christian Religious Knowledge question is asking about the appointment of seven deacons. The options are given to help identify the reason for their appointment.

The correct option is D, which states that the deacons were appointed to help in the distribution of food. This means that the deacons were responsible for ensuring that food was distributed fairly among the members of the church.

It is important to note that the deacons were not appointed to conduct a mission to the Gentiles (Option A) or to replace the twelve (Option B). Additionally, while preaching the Gospel (Option E) is an important function of the church, it was not the specific reason for the appointment of the seven deacons.

The deacons were appointed to lead the church in Jerusalem (Option C) in the sense that they were responsible for ensuring that the needs of the members were met. However, their primary function was to help in the distribution of food.

This event is recorded in the book of Acts chapter 6, where the apostles appointed the seven deacons to assist with the daily distribution of food to the widows. This allowed the apostles to focus on prayer and the ministry of the word.

In summary, the seven deacons were appointed to help in the distribution of food to the members of the church. This was an important function that allowed the apostles to focus on prayer and ministry.

Correct Answer: D. allows for greater political participation

Correct Answer: C. 9.00am

Correct Answer: A. abuse of power

Explanation

• Protection of Liberty and Rights
• Increase in Government's Efficiency
• Limited Government
• Prevents Abuse of Power