The answers are 2. B, 3. D, 4. C, and 5. A.
Step-by-step explanation:
Step 1:
For question 2.
We subtract both sides by 4 to get
For question 3. .
We divide the entire equation by 4 to get
Step 2:
For question 4.
We multiply both sides by 4 to get
For question 5.
We add 4 to both sides to get
So the answers are 2. B, 3. D, 4. C, and 5. A.
Answer:
The regular polygon is a nonagon
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the name of the regular polygon that each interior angle measures 140ﾟ?
we know that
The formula to find the sum of the interior angles in a regular polygon is equal to
where
n is the number of sides of the regular polygon
a is the measure of each interior angle of the regular polygon
we have
substitute in the formula and solve for n
so
The regular polygon has 9 sides
therefore
The regular polygon is a nonagon
ŷ= 1.795x +2.195 is the equation for the line of best fit for the data
<h3>How to use regression to find the equation for the line of best fit?</h3>Consider the table in the image attached:
∑x = 29, ∑y = 74, ∑x²= 125, ∑xy = 288, n = 10 (number data points)
The linear regression equation is of the form:
ŷ = ax + b
where a and b are the slope and y-intercept respectively
a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )
a = (10×288 - 29×74) / ( 10×125-29² )
= 2880-2146 / 1250-841
= 734/409
= 1.795
x' = ∑x/n
x' = 29/10 = 2.9
y' = ∑y/n
y' = 74/10 = 7.4
b = y' - ax'
b = 7.4 - 1.795×2.9
= 7.4 - 5.2055
= 2.195
ŷ = ax + b
ŷ= 1.795x +2.195
Therefore, the equation for the line of best fit for the data is ŷ= 1.795x +2.195
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