A group of 40 people were asked whether they like cricket (C) and football (F). The number liking both cricket and football was three
times the number liking only cricket. Adding 3 to the number liking
only cricket and doubling the answer equals the number of people
liking only football. Four said they did not like sport at all.
a Draw a Venn diagram to represent this information.
b Calculate n(CF).
c Calculate n(Cn F).
d Calculate n(C' F).

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %