Answer:
y hat = 2114.20 + 18.96x
Step-by-step explanation:
Given the least squares regression model equation:
y hat = -959.00 + 8.60x
weld diameter x; shear strength y (in pounds)
1 lb = 0.4536 kg
To convert shear strength y to kilograms:
y is multiplied by 0.4536
(y hat × 0.4536) = -959.00 + 8.60x
Divide both sides by 0.4536
(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536
y hat = 2114.1975 + 18.959435x
y hat = 2114.20 + 18.96x
Answer:
Step-by-step explanation:
The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as
A = P(1 + r)^t
Where:
A indicates the population after t years.
t symbolizes the number of years.
P is the initial population count.
r signifies the growth rate.
<pFrom the given data,
P = 6.1 × 10^9
r = 1.35% = 1.35/100 = 0.0135
t = 1
Hence,
A = 6.1 × 10^9(1 + 0.0135)^1
A = 6.1 × 10^9(1.0135)^1
A = 6182350000
The total number of people added would be
6182350000 - 6100000000
= 82350000
A dilation represents a transformation

, centered at point O with a scale factor of k, which cannot be zero. This transformation keeps O fixed while transforming any other point P into its image P'. Points O, P, and P' are collinear.
In a dilation of

, the scale factor

maps the original figure to its transformed image in such a way that the distances from O to points of the image are half the distances from O to the original figure. Consequently, the image's size is also half that of the original figure.
Thus, <span>If

represents the dilation of △ABC, then the properties of the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.

The distance from A' to the origin is half that from A to the origin.</span>