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I've been doing specimen MAT admission test - but I couldn't figure out the answer to the parts III, and IV of question 6 (https://www.maths.ox.ac.uk/system/files/attachments/speca.pdf). Is there some kind of a trick?

As for part III you only need to use the process of elimination. Notice, that there are only three possible situations, since at east one of Alice, Bob, and Charlie has a white hat; namely: one of them has a...
SN
Answered by Stanisław N. • MAT tutor
2824 Views

Describe the main ways in which social control occurs in society.

Social control refers to the methods used throughout society to limit deviance (breaking of social norms) and ensure that people conform to society’s rules and regulations. There are two main types of social...
HT
Answered by Holly T. • Sociology tutor
31386 Views

Solve the inequality x(x+2)>8 for x.

x(x+2)>8 if and only if x^2+2x-8>0 if and only if (x+4)(x-2)>0. There are three cases: x<-4, -4 In the first case x+4<0 and x-2<0, so their product is positive: (x+4)(x-2)>0. Next x+4&gt...
JT
Answered by Joshua T. • Maths tutor
4718 Views

How is DNA made into protein?

DNA is first transcribed into a messenger RNA molecule called mRNA, RNA is similar to DNA but contains Uracil instead of Thymine. RNA polymerase recruits nucleotides to build the mRNA molecule and binds them...
SM
Answered by Sophie M. • Biology tutor
5316 Views

The quadratic equation 2x^2+8x+1=0 has roots a and b. Write down the value of a+b and ab and a^2+b^2.

Since the quadratic has roots a and b, this means it can be fatored as 2(x-a)(x-b)=0. Expanding this out we get 2x^2-2(a+b)x+2ab=0 and matching the coefficients for the terms x^1 and x^0 we get a+b=-4 and ab...
JT
Answered by Joshua T. • Maths tutor
5369 Views