Answer: A
Step-by-step explanation:
Step-by-step explanation:
Given that,
Mass of Ella is 56 kg and mass of Tyrone is 68 kg.
Position of Ella is 1.5 m on the ramp.
Potential energy of an object is given by :
P = mgh
It is directly proportional to the position of an object.
If Tyrone stands at the top of ramp at more height than Ella, it will have more potential energy. Hence, the correct option is (d) "If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella's."
There are 16 ounces in a pound.
To convert from ounces to lbs, divide by 16.
30/16= 1 r14
Final answer: C 1 pound 14 ounces
<h3>Answer: Choice A</h3><h3>y = (-2/3)x + 12</h3>
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Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
Ok all you have to do is this
250*.12
=30