Answer:
By pigeon hole principle, at least 2 subsets of A have same sum
Step-by-step explanation:
Let A = {x1, x2, . . . , x12} where i ≤ xi≤150
for any 6 element subset S of A, the sum of numbers in S is at least 6 since all integers are positive and it is at most 150+149+148+147+146+145= 885. so we consider number of pigeon holes = number of possible sums= 885 and number of pigeons = number of subsets of A of size 6= ¹²C₆= 924
Since number of pigeons is greater than number of pigeon holes, by pigeon hole principle, at least 2 subsets of A have same sum
Answer:
However, at the moment of death, the amount of carbon-14 begins to decrease because it is unstable, while the amount of carbon-12 remains constant in the sample. Half of the carbon-14 degrades every 5,730 years as indicated by its half-life.
Step-by-step explanation:
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The product of secant lengths to the near and far circle intercepts is the same for both secants:
3 · (3+5) = 4 · (4+x)
24 = 4(4 +x) . . . . simplify
6 = 4 +x . . . . . . . .divide by 4
2 = x . . . . . . . . . subtract 4
Answer:
85 square ft
Step-by-step explanation:
8.5cm times 4 cm = 34 cm
34 cm times 2.5 (because 1 cm = 2.5ft) = 85 square ft
Answer:
11 : 44
Step-by-step explanation:
There are 11 6th graders and a combination of 44 7th and 8th graders. Therefore, the ratio is 11 : 44. Hope this helps!