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Which of the following best describes inductive reasoning?

a. Using logic to draw conclusions based on accepted statements

b. Accepting the meaning of a term without definition

c. Defining mathematical terms to correspond with physical objects

d. Inferring a general truth by examining a number of specific examples


Solve the equation 3𝑥 = 2 𝑖𝑛 𝑍7 𝑎𝑛𝑑 𝑖𝑛 𝑍23

Compute the mean of the population(ų)2,5,6,7 and 8.


Compute the variance of the population (ò).

compute the factor group (𝑍2 × 𝑍4)/< (1,2) >

Find the order of the following


(𝑍2 × 𝑍4)/< (1,1) >



The average hour spent in computer by 20 senior high school students during online class is 7 hours with a standard deviation of 2 hours. Construct a 98% confidence interval of the average hour spent by all senior high school students. Identify the width of the interval.


Briefly discuss and illustrate the different ways to represent relations


a survey unofficially claimed that in every five (5) young executives , only one (1) practices good reading habits.

what is the probability that out of 10 10 young executives , two executives practice good reading habits


To the right of z = 0.3 *

1. Draw pictures showing how 58×4 could be modelled with base-10 blocks or with areas on base-10 grinds. ( Use at least two of the methods)



2. Sipho has a piece of strings that is exactly 3cm long. He wants to divide it equally among three friends. Illustrate with the number line what each of the string each one receive? (2)

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