Question
The following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals
The following table shows some data from a study on substance use among 10th graders in the United States and Europe.
Smoked Cigarettes | Cigarette-Free | Totals | |
---|---|---|---|
U.S. | x | y | 12,000 |
Europe | z | w | 98,000 |
Total | 69,210 | 110,000 |
(a)The table leads to a linear system of four equations in four unknowns. What is the system?
x | + | y | = | 12,000 | ||||
z | + | w | = | 98,000 | ||||
y | + | w | = | 69,210 | ||||
x | + | y | + | z | + | w | = | 110,000 |
x | + | y | = | 12,000 | ||||
y | + | w | = | 98,000 | ||||
z | + | w | = | 69,210 | ||||
x | + | y | + | z | + | w | = | 110,000 |
x | + | y | = | 12,000 | ||||
z | + | w | = | 98,000 | ||||
y | + | w | = | 69,210 | ||||
x | + | w | = | 110,000 | ||||
x | + | y | = | 12,000 | ||||
y | + | w | = | 98,000 | ||||
z | + | w | = | 69,210 | ||||
x | + | w | = | 110,000 | ||||
Does it have a unique solution?
This system has infinitely many solutions.This system has a finite number of solutions. This system has no solution.This system has one solution.
What does this indicate about the missing data?
The given data is sufficient to obtain the missing data (x,y,zandw).The given data is insufficient to obtain the missing data (x,y,zandw).
(b)Given that37,510more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data.
(x,y,z,w) =
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