Answers:
Row 0: 1
Row 1: 1 1
Row 2: 1 2 1
Row 3: 1 3 3 1
Row 4: 1 4 6 4 1
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Explanation:
This is known as Pascal's Triangle. Each value, other than the '1's, is found by adding the values directly above it. For instance, the '4' is the result of 1+3, and the 6 is a result of 3+3, and so on.
You can use the nCr combination formula to find the same values.
Alternatively you can expand out binomials of the form (x+y)^n, for integer values of n, and you'll find the coefficients of the terms match perfectly with Pascal's Triangle.
Answer:
180
Step-by-step explanation:
so last month he saved 150 right first you find 20% of 150. that is 30. you add 150 and 30 and get 180.
Class B has the most consistant sleep because there is less of a difference between 6.87 and 3.65 than the other classes.
2 inches wide
that means that the height of the large carton is 2 inches
find the volume of the carton
V=108 times volume of small box
V=108 times 1 times 2 time s3
V=648 in^2
height is 2
V=LWH
648=LW2 (note, this is not LW^2 but 2 times LW)
divie both sides by 2
324=LW
legnth of base is less than 36
div
we just need to find the values of legnth and width such that LW=324 and L<36 and that L or W is divisible by 3 (since each box is 3 inches long)
so lets factor 324
324=2*2*3*3*3*3
group them and find possible values for legnth and width less than 36 and divsible by 3
possible values
(L,W,H) possible values are
(27,12,2)
(18,18,2)
the possible dimentions are
27 by 12 by 2 or
18 by 18 by 2