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.

What are the possible rational zeros of [tex]f(x) = x^4+2x^3-3x^2-4x+18[/tex]

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

John used linear combination to solve the system of equations shown. he did so by multiplying the first equation by -3 and the second equation by another number to eliminate the x-terms. what number did jonas multiply the second equation by? 4x-6y=23x+5y=11