The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
<span>Inertia is defined as "the tendency for a body to resist acceleration; the tendency of a body at rest to remain at rest or of a body in motion to stay in motion in a straight line unless disturbed by an external force" Therefore, both will have the same inertia since they have the same mass.</span>
Answer:
0.30715935334
Step-by-step explanation:
8/6 ÷ 13/3
1.33÷ 4.33
0.30715935334
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
