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A hovercraft passes point A moving west with a speed of 15m/seconds. The hovercraft begins to accelerate at a steady rate of 2m/sec2 east. How long is it before the hovercraft passes point A moving east and with what speed it will be moving as it does so?


Find the surface area of that part of the plane 4𝑥+5𝑦+𝑧=8

4x+5y+z=8 that lies inside the elliptic cylinder (x2/100) + (y2/81) =1



An emergency service wishes to determine whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown.


Temperature (x) - 25 10 27 30 33

No. of calls (y) - 7 4 8 10 11


a) Find the correlation coefficient r


b) Find the regression equation


c) Graph the regression equation.


The list gives the durations, in years, of the top 20 longest-running Canadian television shows.

18 20 38 19 22 23 23 27 36 18 18 18 20 25 18 24 24 33 25 25


Construct a stem-and-leaf plot.

Explain how each of Darley and Latane’s experiments: (1) the fake seizure and (2) the smoke filled room help explain the bystander effect and diffusion of responsibility.













Sam has 6 rose bushes. He counted the flowers on each of them. There are 8, 2, 5, 4, 11 and 9. Find the Standard Deviation. Is 25 a “Usual” number of flowers?


Using the do…while() loop, continuously scan for random integers, but add up only all the positive integers and store the total in one variable.


The loop shall only be terminated when the inputted integer is zero. Afterwards, print out the total of all inputted positive integers.

Continuously ask for floating point values (decimal numbers) using the do…while() loop, sum them all up, and store the total into one variable.



The loop shall only terminate for the following reasons:



A negative decimal number is inputted (but still included in the total sum)



The total sum reaches 100.0 or more

Using a do…while() loop, continuously scan for characters (one per line) and print it out afterwards.



The loop shall terminate due to either of the following reasons:



The inputted character is a vowel



The number of inputted characters has already reached 5.

For the set of data below, determine the 5 number summaries. Construct the resulting box and whisker plot.


5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 5


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