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If m<SDN=5x-2 and m<DNA=3x+4.


a. Find m<SDN


b. Find m<DSA



QUESTION ONE

The manufacturer of product Gero requires three distinct processes A-C. On completion the product was passed from process C to finished goods stock. The following information was obtained in respect of the product

5,000 units of raw materials at ksh 250 were issued to process A and other costs incurred are given below


ELEMENT OF COST PROCESS TOTAL


A B C

Kshs kshs kshs Kshs

Direct materials 5,000 12,000 18,000 35,000

Direct labour 30,000 20,000 10,000 60,000

Direct expenses 2,800 5,200 2,000 10,000

Production overheads - - - 90,000

Production overhead is absorbed by each process at 100% of direct labour

You are required to prepare the process accounts


A.    Distinguish the following terms as used in the Not-for- profit organizations.

                                     i.           Capital and revenue donations

                                   ii.           Receipts and payment accounts

Life fund                 


give the integral curve of the equation dx/x+z=dy/y=dz/y^2+z

QUESTION ONE

The manufacturer of product Gero requires three distinct processes A-C. On completion the product was passed from process C to finished goods stock. The following information was obtained in respect of the product

5,000 units of raw materials at ksh 250 were issued to process A and other costs incurred are given below 


ELEMENT OF COST PROCESS TOTAL


A B C

Kshs kshs kshs Kshs

Direct materials 5,000 12,000 18,000 35,000

Direct labour 30,000 20,000 10,000 60,000

Direct expenses 2,800 5,200 2,000 10,000

Production overheads - - - 90,000

Production overhead is absorbed by each process at 100% of direct labour

You are required to prepare the process accounts                          



Give at least 5 reasons why samples are used instead of population when conducting a research.


Which of the following sampling method would be least likely to produce accurate and representative samples?

a.      Cluster Sampling

b.     Simple Random Sampling

c.      Systematic Sampling

d.     Snowball Sampling


Four coins are tossed.Let T be the random variable representing the number of tails that occur.find the values of the random variable T

3. The mean salary of ten employees is Php 32,000, and the median is Php 30,000. The highest-paid





employee gets a Php 5,000 raise.





a. What is the new mean salary of the ten employees?





b. What is the new median salary of the ten employees

1.Specify the set A by listing its elements, where

A = {x: x is a whole number less than 100 and divisible by 16}.


2. Specify the set B in set-builder form by giving a written description of its elements,

where B = {0, 1, 4, 9, 16, 25}.


3. Consider

A = {m, a,t, h} C = {x: x = 3n, 1 ≤ n ≤ 4, n ∈ N}

B = {s,t, e, m} D = {x: x = 2n, 1 ≤ n ≤ 6, n ∈ N}

a. What is A ∩ B? b. What is C ∪ D?

5. Solve the following problem using a Venn diagram: Consider the following data

among 110 students in the college dormitory: 30 students are on a list A (taking

Accounting); 35 students are on a list B (taking Biology); and 20 students are on both

lists. Find the number of students:

a. on list A or B

b. on exactly one of the two lists

c. on neither list


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