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The height of grade 1 pupils are approximately normally distributed with ยต = 45 inches and s = 2.

  • If an individual pupil is selected at random, what is the probability that he or she has a height of 42 and 47?
  • A class of 30 of these pupils is used as a sample. What is the probability that the class mean is between 42 and 47?
  • If a pupil is selected at random, what is the probability that is taller than 46 inches?
  • A class of 30 of these pupils is used as sample. What is the probability that the class mean is greater than 46 inches?

Write the thermochemical equation for the following reactions that occur at constant pressure.


1. Combustion of hexane, C5H12 to carbon dioxide gas and water, releases 3923.9kJ of heat.

2. Reaction between solid phosphorus, P4 and oxygen gas, produces P3O6 and 1640.1kJ of heat.

3. One mole ammonium nitrate (NH4NO3) dissolves in water to produce aqueous ammonium ions and nitrate ions accompanied by the absorption of 28.1kJ of heat.

4. Formation of carbon dioxide gas from carbon (graphite) and oxygen yields 393.5kJ of heat.


What kind of factors might affect attitudes towards charging sustainable interest rates by Microfinance Institutions in the Kenyan market environment? How can an MFI/or Deposit Taking Microfinance (DTM) overcome negative attitudes towards such rates? Construct an argument to discuss with someone who holds such attitude in Kenya today

Joe is managing a technical project. Although his project is on budget and on schedule, the user community is not happy with the results. What is the likely cause?


The recent global development of Russia invading Ukraine has led to USA and European countries imposing sanctions on Russia. Given that Russia is a major player in OPEC, discuss the implication of this in South African economy.

The demand function for rose is ๐‘„ = a-5p, and the supply function is ๐‘„ = e + 2p + 0.1t, where a and e are positive constants and t is the average temperature in a month. show how the equilibrium quantity and price vary with temperature.


How do you describe the attitudes of the meeting attendees in relation to emotional intelligence and emotional competence

What constitutes physical violence among learners in a rural school?

If the supply of corn is ๐‘„n = b + 0.2p and the supply by the rest of the word is ๐‘„r = e + 0.8p, what is the world supply.? What is the world inverse supply?



Let A, B, and C be sets. Show that (A โˆ’ B) โˆ’ C =



(A โˆ’ C) โˆ’ (B โˆ’ C).

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