Answer: v = 793.77 mph
Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:
v = ω.r
where
ω is angular velocity
r is radius of the path
<u>Angular</u> <u>velocity</u> is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:
The Earth takes 24 hours to complete a rotation, then angular velocity:
0.262 rad/h
At a location 40° north, radius is 3033.5 miles, so:
v = 0.262*3033.5
v = 793.77
<u>At latitude of 40°north, linear speed is </u><u>793.77mph</u>.
Y= Mx+b
In the equation of a straight line,the slope is the number "m" that is multiplied on the x, and "b<span>" is the </span>y<span>-intercept (that is, the point where the line crosses the vertical </span>y<span>-axis).</span>
30% = 30/100 = (30 x 3)/(100 x 3) = 90/300
1/3 = (1 x 100)/(3 x 100) = 100/300
As 90/300 < 100/300
Therefore 30% < 1/3
Answer:
<em>The residual value when x=2 is </em><em>-1</em>
Step-by-step explanation:
The difference between the observed value of the dependent variable and the predicted value is called the residual (e). Every data point has one residual. Lesser the residual value, better the best fit line is.
Mathematically,
Here from the graph,
the observed value is 2, so y=1
the predicted value is 0.5(2)+1 = 1+1 = 2, so 
Putting the values,
