The slope of the line of best fit to the raw-score scatter plot is 0.98
- The equation is y = 0.98x - 3.74
- The value of y given that x = 12 is 8.02
<h3>How to determine the slope of the line?</h3>
From the question, we have the following parameters that can be used in our computation:
- Standard deviations of X, Sx = 1.88
- Standard deviations of Y, Sy =2.45
- Correlation coefficient, r between X and Y = 0.75
The slope (b) of the line is calculated as
b = r * Sy/Sx
Substitute the known values in the above equation, so, we have the following representation
b = 0.75 * 2.45/1.88
Evaluate
b = 0.98
<h3>The equation of the line of best fit</h3>
A linear equation is represented as
y = bx + c
Where
Slope = b
y-intercept = c
In (a), we have
b = 0.98
So, we have
y = 0.98x + c
Recall that the point (13, 9) is on the line of best fit.
So, we have
9 = 0.98 * 13 + c
This gives
9 = 12.74 + c
Evaluate
c = -3.74
So, we have
y = 0.98x - 3.74
<h3>The value of y from x</h3>
Here, we have
x = 12
So, we have
y = 0.98 x 12 - 3.74
Evaluate
y = 8.02
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Answer:
30
Step-by-step explanation:
Each one has 10 tenths, so 3 ones have 30 tenths.
You can do this by dividing 3 by 1/10.
3/(1/10) = 3/1 * 10/1 = 30/1 = 30
Answer:
b = - 5
Step-by-step explanation:
(k + a )(k + x) + 1 = k^2 + kx + ak + ax + 1
I think the way to solve this is to worry about the 36
k^s + 1 + ak should equal 36
We know that a = 2
k^2 + 1 + 2k = 36
k^2 + 2k + 1 - 36 = 0
k^2 + 2k - 35 = 0
(k + 7)(k - 5) = 0
k = -7 is the only acceptable answer. It is given that K < 0.
bx = kx + ax
b = k + a
b = - 7 + 2
b = - 5
The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
<h3>How to determine the actual area of Julio's kitchen?</h3>
The parameters are given as:
- Length = 4.5 inches
- Width = 3.375 inches
Start by converting the dimensions to feet using the scale ratio
- Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feet
- Actual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feet
The area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
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You can use this equation to find the axis of symmetry or the vertex of the quadratic equation as long as it is in standard form
X= (-b/2a)
The answer is x=2
