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60 child tickets were sold

Step-by-step explanation:

Let no of children tickets sold that day be c and adult tickets be a

Then since total number of tickets sold is 148, we have

c+a = 148  ... i

Also given that admission fee is 6.00 for children and 9.70 for adults

So for c children tickets sold value= 6c and for adults it is 9.7a

total revenue = 6c+9.7a=1213.60 ... ii

We got two equations in two variables c and a

Let us solve this

a =148-c. substitute this in ii

6c+9.7(148-c) = 1213.60

Simplify the above to have

222 = 3.7c

Or c = 60

No of child tickets sold = 60

 r represents a significant linear correlation.

Step-by-step explanation:

GIven : Linear correlation coefficient: r = 0.543

Sample size: n= 25

Significance levle:

Degree of freedom : n-2 = 25-2=23

Now, we check r critical value table for value with df = 23 and .

Critical value = ±0.396  [From r critical value table]

Since r = 0.543 > 0.396, that means there is significant linear correlation.

Hence,  r represents a significant linear correlation.