Answer:
By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.
The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Let's suppose the equation that models the exponential decline is:
From the data given, we can calculate the value of a and b:
a = 46348587109809610
b = 0.9861
y = 46348587109809610(0.9861)ˣ
Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
Learn more about the line of best fit here:
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Answer:
C, or 18.0
Step-by-step explanation:
The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.
An equilateral shape is a shape that has all congruent sides.
<em>Sandy has a greater probability of selecting an equilateral shape</em>
Given
Sandy: <em>Equilateral triangle, Rhombus, and Regular hexagon</em>
Robert: <em>Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle</em>
All three shapes in Sandy's shape bucket are equilateral.
So, the probability that Sandy picks an equilateral shape is 1
All five shapes in Robert's shape bucket are non-equilateral.
So, the probability that Robert picks an equilateral shape is 0
By comparing the probabilities:
<em>1 is greater than 0</em>
Hence, Sandy is more likely to pick an equilateral shape than Robert.
Read more about probabilities at:
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