In the function z equals f open parentheses x comma y close parentheses equals 6 minus 2 x plus ln left parenthesis x squared y
1 answer:
Answer:
The correct option is 3) x and y are independent variables, z is a dependent variable.
Step-by-step explanation:
Consider the provided function.
Dependent variables depend on the values of independent variables.
Here z is the function of x and y are the variables.
The value or variable z depends on x and y.
Therefore z is dependent variable.
Also x and y are independent variables,
Hence, the correct option is 3) x and y are independent variables, z is a dependent variable.
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Answer:
a. Class width=4
b.
Class midpoints
46.5
50.5
54.5
58.5
62.5
66.5
70.5
c.
Class boundaries
44.5-48.5
48.5-52.5
52.5-56.5
57.5-60.5
60.5-64.5
64.5-68.5
68.5-72.5
Step-by-step explanation:
There are total 7 classes in the given frequency distribution. By arranging the frequency distribution into the refine form we get,
Class
Interval frequency
45-48 1
49-52 3
53-56 5
57-60 11
61-64 7
65-68 7
69-72 1
a)
Class width is calculated by taking difference of consecutive two upper class limits or two lower class limits.
Class width=49-45=4
b)
The midpoints of each class is calculated by taking average of upper class limit and lower class limit for each class.
Class
Interval Midpoints
45-48
49-52
53-56
57-60
61-64
65-68
69-72
c)
Class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class interval.
Class
Interval Class boundary
45-48 44.5-48.5
49-52 48.5-52.5
53-56 52.5-56.5
57-60 56.5-60.5
61-64 60.5-64.5
65-68 64.5-68.5
69-72 68.5-72.5