Part A
1 answer:
*diagram of the dot plot is attached below
Answer:
$2.15
Step-by-step Explanation:
Mean daily pocket money or average daily pocket if the group if students shown in the for plot that is attached below = the sum of the pocket money received by the students ÷ the total number of students.
From the diagram of the dot box attached below, the total number if students = 13 (each dot represents a student)
Sum of the pocket money received by the students = 4(1) + 5(2) + 3(2) + 4(2)
= 4 + 10 + 6 + 8
Sum = 28
Therefore, mean daily pocket money = 28 ÷ 13 = $2.15
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Answer:
a)
b)
c) the points of the form (x, -x) for x≠0
Step-by-step explanation:
a)
If φ(x, y) = arctan (y/x), the vector field F = ∇φ would be
On one hand we have,
On the other hand,
So
b)
The domain of definition of F is
i.e., all the plane X-Y except the (0,0)
c)
Here we want to find all the points such that
where k is a real number other than 0.
But this means
So, all the points in the line y = -x except (0,0) are parallel to the vector field F, that is, the points (x, -x) with x≠ 0