The dot plots show the number of minutes that each of two sisters practiced the piano each day for 14 days. Ana
+
0 10
+
20
30
40
80
90
100
110
120
50 60 70
Minutes Practiced
Tara
:
:
.
+ +
0 10 20
+
+
40
.
+ +
50 60 70 80
Minutes Practiced
+
100 110 120
30
90
Which sister showed more consistency in the amount of time she practiced? Move a word to each blank to complete the sentence.
showed more consistency because the
of her data was less than that of her sister's data.
Ana
Tara
median
range

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.

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