Mrs.Rowan alotted 30 mintues at the beginning of class for her students to complete an exam. Tha lst student took 42 minutes to
1 answer:
Hey there!
To find percent error, we find the difference between the prediction and the actual value. We take that difference, divide it by the prediction, and multiply it by 100.
So let's find the difference.
42 - 30 = 12
Divide the difference, which is 12, by 30.
12 ÷ 30 = 0.4
Multiply this by 100 to get the percent.
0.4 x 100 = 40
The percent error is 40%.
Hope this helps!
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Answer:
The three positions are not on the same line.
Step-by-step explanation:
We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).
Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:
The equation of a line is:
Where p is every singular point of the line, is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.
Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:
Because there is a value for t that satisfies both A and B: If we do and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:
If C is also in the same line, C must accomplish the equation: , so:
Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:
You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.
Use the distance formula
Input corresponding numbers
Solve
So, the distance between the points given is 5