100 students were asked if they study German, French or Spanish. 40 students study German.
13 students study German, French and Spanish.
19 students study German and Spanish but G
not French
18 students study French and Spanish.
41 students do not study any of the languages.
All 25 students who study French also study at
least one other language.

a) Complete the Venn diagram.

b) Two of the 100 students are chosen
at random.
Work out the probability that they both
only study Spanish.

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 %