The vector from the reference point on the line to the point is
.. (5-2, 1-3, 4-3) = (3, -2, 1)
The cross product of this with the line's direction vector (-1, 1, -3) is (5, 8, 1). The dot product of that with any of the points in the problem statement is 37. Your plane equation can be written as
.. 5x +8y +z = 37
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A suitable vector calculator is very handy for this. I used an HP-48 app on my phone.
Answer:
2 years worth
Step-by-step explanation:
Answer:
50% of all students scored more than 48 marks.
Step-by-step explanation:
1) The baseline of the box, in a box plot is the first quartile, the line in the middle is the median or Q2 and the last line (or top line) is the third quartile. Namely,
2) The Question says "nobody took 30, 48 or 70 as their grades. But 120 students gained less than 70", i.e. 120 are within the 75% of the sample.
3) If then 50% of the students scored more than 48. And 50% of the students scored less than 48. That is also known as the Median.
So 50%, the half of all students scored more than 48 marks.
Answer:
\frac{x^3+2x^2-16-2x}{x}
Step-by-step explanation:
\frac{x^3+2x^2-16-2x}{x}