Which of the following rvalues represents the strongest correlation?
1 answer:
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The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th
Step-by-step explanation:
Let us revise some fact about the product of two numbers
- If x is multiplied by y where y > 1, then the product is greater than x (Ex: if x is 3/4 and y is 2, then xy = (3/4)(2) = 3/2 which is greater than 3/4)
- If x is multiplied by y where 0 < y < 1, then the product is less than x (Ex: if x = 2/5 and y = 1/3, then xy = (2/5)(1/3) = 2/15 which is less than 2/5)
We need to select all the expressions with a product less than 2/3
∵ 4 and 1/8 × 2/3
- 4 and 1/8 means mixed number
∵ > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴ ×
>
∵ ×
∵ is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴ ×
<
∵ × 2
∵ 2 > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴ × 2 >
∵ ×
∵ is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴ ×
<
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3
Learn more:
You can learn more about the fractions in brainly.com/question/1312102
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