An orchard is an area of land where fruit trees are grown. In an orchard orange trees or other citrus trees are not grown. Ram had an orchard with certain number of apple trees. He had to cut down five trees to control the insects. Each of the remaining trees produced 210 apples, producing a total harvest of 41,790 apples. Answer the following questions: (a) How many trees did Ram’s orchard have initially? (b) What is the total harvest produced if no tree is cut? (c) If number of trees cut down decrease by 2 and each tree produced 6 apples more, then what is total harvest? (d) If trees were 300 and total harvest 62,500, each tree producing 250 apples, then how many trees were cut? (e) Ram’s harvest depends on (i) number of trees cut. (ii) apples produced by each tree. (iii) both (i) and (ii) (iv) None

Is each relation a function? if so, state whether it is one-to-one or many-to-one. 3. (-4,7), (-3,5), (1,4), (3,-8), (5,-11) 4. (-4,8), (-2,4), (0,1), (2,4), (4,8) 5. (-2, 1), (-2,3), (0,-3), (1,4), (3,1)

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?

What percent of the butterfly tents contain at most 10 cocoons