What is the maximum and minimum value of the correlation coefficient? 1 and -1 2 and 3 0 and -1 0 and 1 2 and -2
1 answer:
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This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
Answer:
<h3>The ratio of technicians to all helpers is 11 : 7, orStep-by-step explanation:
- Given that there are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
- Let x be the number of ushers ( or helpers ).
- Therefore x=7 helpers.
- Let y be the number of technicians.
- Therefore y=11 technicians.
That is to find the ratio of y to x.
We can write the ratio of technicians to all ushers(helpers) as y : x
Which implies that 11 : 7, (since y=11 and x=7)
Or or 11 to 7
