Given the following data for 120 Nile University students. 65 study French, 45 study German, 42 study Russian, 20 study French and German, 25 study French and Russian, 15 study German and Russian and 8 study all the three languages. a. Find the number of students studying at least one of the three languages.

b. Draw the Venn diagram for the data.

c. Find the number of students studying exactly one language.

d. Find the number of students studying exactly two languages.

F(x)=x/2-2 and g(x)=2x^2+x-3 find (f+g)(x)

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

Which statement best describes how to determine whether f(x) = x squared- x +8 is an even function ?