The predicted value of y when x =7 is -8.5
<h3>How to predict the y value?</h3>
Start by drawing the line of best fit through the points
See attachment for the graph.
From the attached graph, we have the following value
y = -8.5 when x = 7
Hence, the predicted value of y when x =7 is -8.5
Read more about scatter plots at:
brainly.com/question/2749543
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The standard equation for the circle centre can be written by using this formula: (x-h)² + (y -k)² = r²
So, the equation in this case is: (x+6)² + (y-7)² = 81
3.03 days
Step-by-step explanation:
We first look up the Z-score for 90th percentile in the table;
= 1.282
Z score is given by the formula;
X – μ / σ
We are given μ as 5.2 while σ is 2.2. Therefore;
1.282 = X - 5.2 / 2.2
1.282 * 2.2 / 5.2 = X
3.03018 = X
= 3.03
Answer:
The function with blue line (see attachment) represents the graph of
after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
(1)
Where:
- Resulting function.
- Original function.
- Translation factor (
- Translation in the +y direction/
- Translation in the -y direction).
If we know that original function is translated 3 units down and
, then the resulting function is:

Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.