Probability with and without replacement:

an activity book has 21 pages of crossword puzzles, 18 pages of cryptograms, and 12 pages of mazes. bianca randomly selects a page, completes the activity, and then randomly selects another page to complete.

what is the probability that bianca first completes a maze and then completes a crossword puzzle.

ans:

42/425

28/289

21/88

33/51

28/289

Step-by-step explanation:

First we need to find the total number of pages.

21 = crosswords puzzles

18 = cryptograms

12 = mazes

So there are:

21 + 18 + 12 = 51 pages total

The probability that Bianca will complete a maze first is 12/51.

The probability that her next choice will be a crossword puzzle is 21/51

Now to find the probability that Bianca will do a maze followed by a crossword puzzle is:

12/51 x 21/51

We can simplify the values by dividing everything by 3

Maze then crossword puzzle = 4/17 x 7/17

Maze then crossword puzzle = 28/289

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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