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Provide a graphical solution for the following system of equations. (x + 1)2 + (y + 1)2 = 25 x + y = 5ย 


The Loann Le Milling Company is going to purchase a new piece of testing equipment for $28,000 and a new machine for $53,000. The equipment falls in the three-year property class, and the machine is in the five-year class. What annual depreciation will the company be able to take on the two assets?


Determine whether the following random variable is qualitative or quantitative and also state the measurement scale of each variable.

(a) Species of snake.

(b) Temperature of water.

(c) The weight of babies at birth.

(d) Hair color.

(e) Rating of hotels as one star, two stars, etc.

(f) The scholastic aptitude tests of 250 incoming freshmen to a small college.

(g) Number of airplanes at Wonderboom Airport on Friday morning.

(h) Time taken by a messenger to deliver letters.

(i) The car models in the Mercedes Benz range.

(j) The time at which South African Airways arrives at OR Tambo Airport from Capetown on a Tuesday morning.


Test the following numbers for divisibility by 6,9,11 (do not divide or factorise)

a)6 798 340

b)54 786 978


The mean of a normally distributed data is 23.6 with a standard deviation of 4.4. Which of the following scores is considered to be an extreme outlier?


Use any strategy to teach compensation concept of 453+96 to a grade five class. Explain the process in full

Hypothesis test on population mean; ๐›ผ = 0.05; one-tailed test (right); ๐‘› = 37; ๐‘  = 5


Show that the points (-2,0), (2,3) and (5,-1) are the vertices of a right triangle. And find its area

The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function

Find the 90th. Percentile of the t-distribution if the sample size is 25?

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