can someone please solve question 4-10 of this CSSA paper with clear working out and steps.

Thank you

The table below shows the probability distribution of a discrete random variable X which 6 Penny and Lara decided to buy a country property. After one year, Penny and Lara noticed has mean -0.45. that the noxious weed, Paterson's curse, had started growing and they counted 600 individual weeds. X -2 -1 0 1 2 By the end of the second year they counted 1300 weeds, and by the end of the third year the P(X = x) 0.1 a 0.2 0.15 b property contained 2000 weeds. What are the values of a and b? Assuming the weeds continue to grow at this rate, how many weeds could be expected on the property after 10 years? A. a =0.2, b =0.35 A. 6000 weeds B. a = 0.3, b = 0.25 B. 6900 weeds C. a =0.4, b=0.15 C. 7000 weeds D. a =0.5, b = 0.05 D. 37500 weeds 7 What is the best way to describe the relation y = (x+1)' ? 5 In which of the Venn diagrams below is the set An(BUC) shaded, where Cis the A. One-to-one complement of C? A. C. B. One-to-many C. Many-to-one D. Many-to-many 8 Which equation best represents the following graph? B D 6 x = 5, A. y = log, (x-6) B. y = log, (x-6) C. y = log, (x-5) D. y = log. (x-3) 59 Which of the following will give the correct equation of the tangent to the curve y = f (x) at the point x = a? A. y-f (a)= lim/(ath) - f(@) (x-a) h 6-40 B. y-f(a)= lim (*+h)-f(3) ( x-a) h C. y-f(x) = lim (ath)-f(@) (x-a) h D. y-f(x) = lim / ( *+h)-1(3) ( x-a) h 10 How many points of intersection are there between the curves y = 2" and y = x-? A. 0 B. C. 2 D. 3