How many area codes (ABC) would be possible if all three digits could be any value 3-9
1 answer:
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Answer:
See explanation
Step-by-step explanation:
If then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so
and
Angles 1 and 3 are supplementary, so
Angles 2 and 4 are supplementary, so
By substitution property,
Hence,
Consider triangles APX and BPY. In these triangles:
- given;
- given;
- proven,
so by ASA postulate.
Congruent triangles have congruent corresponding sides, then
Therefore, triangle APB is isosceles triangle (by definition).
The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers
The correlation coefficient is 0.53
<h3>How to calculate the correlation coefficient</h3>The correlation coefficient (r) is calculated as:
Using the given parameters, we have:
Evaluate the exponents
Evaluate the products
Evaluate the differences
Evaluate the product
Evaluate the root
Evaluate the quotient
Hence, the correlation coefficient is 0.53
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