Answer:
(a). $35746. (b). Higher.
Step-by-step explanation:
(a). Given that the least-squares regression equation is y = 7163x + 14242. Also, in the question above we are given that y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region, that is to say that the value of x = 30.
Therefore, y = 7163x + 14242.
y = (7163 × 30) + 14242.
y = $35746.
(b). The condition for our x is; 28.7 percent of adults 25 years and older have at least a bachelor's degree.
Then, y = (7163 × 28.7) + 14242.
y = $34814.
Hence, we have the median income in this region = $38,163 HIGHER than $34814.
Answer:
Step-by-step explanation:
By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down
.
1. MOVING TO THE RIGHT:
From point A, move 11 units horizontally to the right to come to point B:
(-3+11, -1) = (8, -1)
2. MOVING TO THE LEFT:
From point A, move 11 units horizontally to the left to come to point B:
(-3-11, -1) = (-14, -1)
3. MOVING UPWARD:
From point A, move 11 units vertically upward to come to point B:
(-3, -1+11) = (-3, 10)
4. MOVING DOWNWARD:
From point A, move 11 units vertically downward to come to point B:
(-3, -1-11) = (-3, -12)
So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.
<h3>
Answer: 4(x - 1)(x^2 + x + 1)</h3>
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Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Answer:
i. 2008
ii. Below
iii. 38
iv. A likely reason is because of increased safety features in a vehicle. Another reason could also be the decline of drunk drivers.
Step-by-step explanation: