Answer:
Value of additional data point is 31.
Step-by-step explanation:
We are given the following data set:
34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45 34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45
Formula:
The old mean is 24.35
A new data was added in the data. The new mean is 24.667
We have to find the value of additional point.
Let x be the added point in the data set.
Thus, we can write:
Thus, value of additional data point is 31
Answer:
senior tickets sold: 12
child tickets sold:8
Step-by-step explanation:
Let
x= amount of senior tickets sold
y= amount of child tickets sold
For the first equation, it should look like:
200=14x+4y
For the second equation, it should look like:
92=7x+y
So this is a systems of equations problem. So I will use substitution as it is easier:
1.) Take one of the equations (in this case ill take 92=7x+y) and make one variable have a value, in this case ill isolate the y.
2.) Take the value of y and plug it into "y" into the other equation to solve "x"
<u><em>(editor's note:instead of dividing it by 14, I multiply by 1/14 as it would look complicated in the equation solving steps)</em></u>
3.) Then plug the value of "x" to one of the equations to solve for "y" (which I'll use the 92=7x+y)