Step-by-step Answer:
One of the properties of a least-squares regression line (line of best fit) is that the line always passes through the point (xbar, ybar).
Assuming the given "line of best fit" is a least-squares line, then we are given
a slope m=1.885 passing through (x0,y0)=(3.448,12.318).
Applying the standard point-slope formula:
(y-y0) = m (x-x0)
we get
y-12.318 = 1.885(x-3.448)
Expand and simplify,
y=1.885x -1.885*3.448 + 12.318, or
y=1.885(x) + 5.81852
(numbers to be rounded as precision dictates).
The shape has no right angles
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
No, the answer is 2
X=2
This is because if we multiply the number by x which is 2
so DST is 110, and RSD is 44, so that is 154, and if we do it with RST we also get 154
So the correct answer is X=2
