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Illustrate the steps, each time on a number line, where you will explain to a Grade 6 class how numbers can be negative and positive


Use the case of mpho who use R5 and she buys a parker of chips for R8 at the tuck shop. The next day she brings R10 to the tuck shop and buys a lolly for R2. Show how her money goes up and down and where she ends up?

A. A researcher reports that the average salary of College Deans is more than $63,000. At a = 0.01 level of confidence, test the claim that the College Deans earn more than $63,000 a month.

Determine if rounding off 34, 56 to the nearest one decimal place is a nonroutine or a routine



question. Work out the answer.

Instruction: Find the solution set of the following using 3 methods. Show your solutions, then submit your answer to your eLMS dropbox.


1.2x + y = 15

x - y = 9


2. 3x - 2y = 12

  2x + 5y = 72. 3x - 2y = 12

  2x + 5y = 7


Professor Balenciaga has reported her students' grades for several semesters and the average for all the grades ofthese students is 83. Her new class of 28 students seem to be higher than the average of ability and she wants to demonstrate that the current class is superior to the previous classes according to their average. Is there sufficient evidence for the class average of 86.2 and the standard deviation of 12 present to support her argument that the current class is superior? Using the 0.05 significance level.


Professor Balenciaga has reported her students' grades for several semesters and the average for all the grades ofthese studs is 83. Her new class of 30 studs seem to be higher than the average of ability and she wants to demonstrate that the current class is superior to the previous classes according to their average. Is ther sufficient evidence for the class average of 86.2 and the standard deviation of 12 present to support her argument that the current class is superior? Using the 0.05 significance level.


Sixteen oil tins are taken at random from an automatic filling machine. The mean weight of the tins is 14.2 kg, with a standard deviation of 0.40 kg. Can we conclude that the filling machine is wasting oil by filling more than the intended weight of 14 kg, at a significance level of 5%? (5 marks)


 The following data relate to advertising expenditure in. Sh. ten thousands and their corresponding sales (in Shs. millions). Advertising expenditure 10 12 15 23 20 Sales 14 17 23 25 21 i.) Fit a regression line of sales against advertising expenditure? (5mrks) ii) Estimate the sales when the advertising expenditure is of sh. 300,000? (2 marks)


there are some salt available in a chemistry lab some of them are insoluble or less soluble in water among those salt is PB hole toys what is the concentration of PV hole toys in gram per litre dissolve in water if the KSP for this compound is 4.1 into 10 to the power minus 15 show the step-by-step solution + process

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