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In the recent COVID-19 pandemic, a local precinct observed that of the 75 people who voted, 25 identified as republican, 30 were democrat, and 20 were “other”. Is this similar to pre-pandemic voting based on political party affiliations? At that same precinct, pre-pandemic voting based on political party affiliation was: 35%republican, 44%democrats, and 21% “other”. Enter in the 75 data points and expected values into SPSS to conduct the appropriate statistical test.


Given that a = 3i - 5j, determine the angle vector a makes with the positive x-axis b. Given that c = 5i + 3j, d = 3i – 2j. Find the magnitude of (i) c + d (ii) c – d

Find the direction cosine (l, m, n) of vector r = 3i -2j + 6k b. Given that p = -12 and q = 1. Find a unit vector u such that │u│= 35 and u is the direction of p-3q 5 -1

la Phrase negative

le chien est Brun?

tu as un chat gris?

je mange une Pomme?

elle marche avec son père à l’école?


A genetics research group has determined the sequence of a rat gene thought to be

involved in controlling the fertilising ability of rat sperm. They believe a similar gene may

control fertility in humans. Describe how what is known about the rat gene can be applied

in PCR to clone the complementary human gene. You should explain the experimental

approach taken and how it could confirm that the human gene in question does indeed

correspond to the rat gene.


a. Where in the world do we find some early evidence that people counted?


b. Approximately what year does this evidence date back?


c. Where in the Caps is this type of counting covered as a topic?



Find the probanility of getting.

a.fewer than 4 head.

b.exactly 4 head.

C.not more than 4 head.

d.two or more heads.


5 Test the following numbers for divisibility by 6, 9 and 11. (Do not divide or factorise.)


a) 6 798 340


b) 54 786 978

How many different committees of 5people can be chosen from 10 people

who won WW1


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