A country has two official languages, English and French. Choose a citizen at random and ask, "What is your mother tongue?" Here is the distribution of responses, combining many separate languages from the broad Asian/Pacific region. Language English French Asian/Pacific Other Probability 0.51 ? 0.08 0.22 (a) What probability should replace "?" in the distribution? (b) What is the probability that a citizen's mother tongue is not English? Explain how you computed your answer. We wish to find P(a citizen's mother tongue is not English). Recall that the complement of an event consists of all the outcomes not in the event. Therefore, the event "a citizen's mother tongue is English" the complement of the event "a citizen's mother tongue is not English". Recall that the rule states the following (where event AC is the complement of event A). P(AC) = 1 + P(A) P(AC) = 1 · P(A) P(AC) = 1 ? P(A) Applying this rule and recalling that we are given P(a citizen's mother tongue is English) = 0.51 gives the result.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?