The equation for the line of best fit is the <em>linear</em> function y = - 0.4 · x + 70. (Correct choice: A).
<h3>What linear equation best fits the scatter plot?</h3>
The equation of the line is represented by a polynomial of the form y = m · x + b, where m is the slope of the line and b is the intercept of the line. The slope is equal to the change in the <em>dependent</em> variable (Δy) and in the <em>independent</em> variable (Δx) and the intercept is the <em>vertical</em> distance of the line with the origin when x = 0.
In accordance with the picture, we notice that the scatter plot indice that Δy < 0 and Δx > 0 and therefore, m < 0. Besides, the intercept of the equation of the line must be greater than zero. Thus, the equation for the line of best fit is the <em>linear</em> function y = - 0.4 · x + 70. (Correct choice: A)
To learn more on scatter plots: brainly.com/question/13984412
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SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the number of odd numbers on a die
![\begin{gathered} \text{Odd number}=1,3,5 \\ n(odd)=3 \\ Total\text{ outcome of a die}=1,2,3,4,5,6 \\ n(Total)=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BOdd%20number%7D%3D1%2C3%2C5%20%5C%5C%20n%28odd%29%3D3%20%5C%5C%20Total%5Ctext%7B%20outcome%20of%20a%20die%7D%3D1%2C2%2C3%2C4%2C5%2C6%20%5C%5C%20n%28Total%29%3D6%20%5Cend%7Bgathered%7D)
STEP 2: Find the probability of getting an odd number
![Pr(odd)=\frac{3}{6}=\frac{1}{2}](https://tex.z-dn.net/?f=Pr%28odd%29%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D)
STEP 3: Calculate the odd in favor
![\begin{gathered} odds\text{ in favour}=\frac{Pr(odd)}{1-Pr(odd)} \\ =\frac{\frac{1}{2}}{1-\frac{1}{2}}=\frac{\frac{1}{2}}{\frac{1}{2}}=\frac{1}{2}\div\frac{1}{2}=\frac{1}{2}\times\frac{2}{1}=1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20odds%5Ctext%7B%20in%20favour%7D%3D%5Cfrac%7BPr%28odd%29%7D%7B1-Pr%28odd%29%7D%20%5C%5C%20%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B1-%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Cdiv%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Cfrac%7B2%7D%7B1%7D%3D1%20%5Cend%7Bgathered%7D)
Hence, the odds in favorof rolling amn odd number on a fair die is 1
-3 5/9-1 3/9 = 4.88888888889
Step-by-step explanation:
the location of the center of rotation could be determined as the mid point of the distance between the object and the image