Answer:
y = - 0.833 + 29.5
y = 17
Step-by-step explanation:
Drawing a best fit line through the data points:
The approximate regression model would have an intercept of about 29.5
The slope = Rise / Run = (y2 - y1) / (x2 - x1)
The slope = (5 - 25) / (27 - 3) = 20 / 24 = -0.8333
The regression equation is thus :
y = mx + c
m = slope ; c = intercept
y = - 0.833 + 29.5
B)
x = 15
y = - 0.833(15) + 29.5
y = -12.5 + 29.5
y = 17
Approximately 17 hours watching TV
Answer:
x = 19
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
154 = 6x+40
Subtract 40 from each side
154-40 = 6x+40-40
114= 6x
Divide by 6
114/6 = 6x/6
19 =x
A.) 106.6
B.) 4.56
..........,.,...,,,
Expand <span><span><span>(<span>x<span>−3</span></span>)</span><span>(<span>x<span>−6</span></span>)</span></span><span><span>x<span>-3</span></span><span>x<span>-6</span></span></span></span> using the FOIL Method.Tap for less steps...Apply the distributive property.<span><span><span>x<span>(<span>x<span>−6</span></span>)</span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span>x<span>x<span>-6</span></span></span><span><span>-3</span><span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span><span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span>+<span>(<span><span><span>−3</span>x</span><span><span>−3</span>⋅<span>−6</span></span></span>)</span></span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span>+<span><span><span>-3</span>x</span><span><span>-3</span>⋅<span>-6</span></span></span></span></span>Remove parentheses.<span><span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span>x</span></span><span><span>−3</span>⋅<span>−6</span></span></span><span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span>x</span></span><span><span>-3</span>⋅<span>-6</span></span></span></span>Simplify and combine like terms.Tap for less steps...Simplify each term.Tap for more steps...<span><span><span><span><span>x2</span><span><span>−6</span>x</span></span><span><span>−3</span>x</span></span>+18</span><span><span><span><span>x2</span><span><span>-6</span>x</span></span><span><span>-3</span>x</span></span>+18</span></span>Subtract <span><span>3x</span><span>3x</span></span> from <span><span><span>−6</span>x</span><span><span>-6</span>x</span></span> to get <span><span><span>−9</span>x</span><span><span>-9</span>x</span></span>.<span><span><span>x2</span><span><span>−9</span>x</span></span>+<span>18</span></span>
-1/3b = 9
b = 9 * -3
b = -27