Answer:
- 321 adult tickets
- 227 child tickets
Step-by-step explanation:
This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...
6.50x +3.50(548-x) = 2881
3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms
3x = 963 . . . . . . . . . . . . . . . . . . subtract 1918
x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3
548-x = 548 -321 = 227 . . . . . .number of child tickets
321 adult tickets and 227 child tickets were sold.
Answer: The coordinate of the center is (4,-3)
radius = 8
Step-by-step explanation:
Given ;

re - arranging , we have

comparing with the general equation

This means that



also




The coordinate of the center is (-g,-f)
Therefore;
the coordinate of the center = (4,-3)
the formula for calculating r is given by:




METHOD 2

using completing the square method , we have

completing the square , we have


comparing with the general equation

where a and b are the coordinate of the center , that is
the coordinate of the center is ( 4 , -3)


Answer: 1.9166
Step-by-step explanation:
Let
be the population mean.
By considering the given description, we have

n=20

s=7
Since, the population standard deviation is unknown , so we use t-test.
Test statistic : 
i.e . 
[Rounded to four decimal places.]
Hence, the value of the t-test statistic : 1.9166
Area is Length x Width, so dividing the area (48) by the length (6) will get you a width of 8 meters