1. 6 units squared
2. 1 unit cubed
Step-by-step explanation:
In a cube, all the sides of all the squares have the same length.
Therefore, to find the surface area of the cube we will find the area of one square and multiply this with the number of squares in the cube (which is 6 sides)
(1*1) * 6 = 6
= 6 units squared
The formula for volume is Length * Width * Height
1 * 1 * 1 = 1
= 1 unit cubed
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1/6x =12
1x/6=12
—-
1x/6=12
x/6 =12
—-
x/6=12
6•x/6=6 • 12
——
x=72
1 yd = 36 inches....so 20 yds = 20*36 = 720 inches....+ 8 inches = 728 inches
728 / 26 = 28 inches....<==each section is 28 inches
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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