The median height is the one in the middle when placed in numerical order. Which in this case, it is 73. (the bolded numbers are those that are being crossed out)
72, 72, 73, 75, 78
72, 72, 73, 75, <span>78
</span>72, 72, 73, 75, 78
73 is the median height!
1) The area is 81 Units
2) the picture of the shaded region isn’t provided so I am unable to answer sorry
Answer:
43 faces
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I'm partial to solving with generating functions. Let
Multiply both sides of the recurrence by and sum over all .
Shift the indices and factor out powers of as needed so that each series starts at the same index and power of .
Now we can write each series in terms of the generating function . Pull out the first few terms so that each series starts at the same index .
Solve for :
Splitting into partial fractions gives
which we can write as geometric series,
which tells us
# # #
Just to illustrate another method you could consider, you can write the second recurrence in matrix form as
By substitution, you can show that
or
Then solving the recurrence is a matter of diagonalizing the coefficient matrix, raising to the power of , then multiplying by the column vector containing the initial values. The solution itself would be the entry in the first row of the resulting matrix.
Okay. Basically, what we have to do here is is the amount of flour per roll, which requires dividing cups of flour by the number of rolls. 1/5 is 0.2 or 1/5 in simplest form. Recipe A uses 1/5 cup of flour per roll. 10/45 is 0.2222 and an infinite number of 2's behind it or 0.22 when rounded to the nearest hundredth. Recipe C uses about 0.22 cups of flour per roll. 0.22 > 0.2, so recipe C uses the most flour per roll.