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 66,210 110,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x + y = 12,000 y + w = 98,000 z + w = 66,210 x + y + z + w = 110,000 x + y = 12,000 z + w = 98,000 y + w = 66,210 x + w = 110,000 x + y = 12,000 z + w = 98,000 y + w = 66,210 x + y + z + w = 110,000 x + y = 12,000 y + w = 98,000 z + w = 66,210 x + w = 110,000 Does it have a unique solution? This system has one solution.This system has infinitely many solutions. This system has no solution.This system has a finite number of solutions. What does this indicate about the missing data? The given data is sufficient to obtain the missing data (x, y, z and w).The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 40,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =
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 66,210 110,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x + y = 12,000 y + w = 98,000 z + w = 66,210 x + y + z + w = 110,000 x + y = 12,000 z + w = 98,000 y + w = 66,210 x + w = 110,000 x + y = 12,000 z + w = 98,000 y + w = 66,210 x + y + z + w = 110,000 x + y = 12,000 y + w = 98,000 z + w = 66,210 x + w = 110,000 Does it have a unique solution? This system has one solution.This system has infinitely many solutions. This system has no solution.This system has a finite number of solutions. What does this indicate about the missing data? The given data is sufficient to obtain the missing data (x, y, z and w).The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 40,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
Related questions
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 | |
---|---|---|---|
U.S. | x | y | 12,000 |
Europe | z | w | 98,000 |
Total | 66,210 | 110,000 |
(a)
The table leads to a linear system of four equations in four unknowns. What is the system?
x | + | y | = | 12,000 | ||||
y | + | w | = | 98,000 | ||||
z | + | w | = | 66,210 | ||||
x | + | y | + | z | + | w | = | 110,000 |
|
x | + | y | = | 12,000 | ||||
z | + | w | = | 98,000 | ||||
y | + | w | = | 66,210 | ||||
x | + | w | = | 110,000 | ||||
|
x | + | y | = | 12,000 | ||||
z | + | w | = | 98,000 | ||||
y | + | w | = | 66,210 | ||||
x | + | y | + | z | + | w | = | 110,000 |
|
x | + | y | = | 12,000 | ||||
y | + | w | = | 98,000 | ||||
z | + | w | = | 66,210 | ||||
x | + | w | = | 110,000 | ||||
|
Does it have a unique solution?
This system has one solution.This system has infinitely many solutions. This system has no solution.This system has a finite number of solutions.
What does this indicate about the missing data?
The given data is sufficient to obtain the missing data (x, y, z and w).The given data is insufficient to obtain the missing data (x, y, z and w).
(b)
Given that 40,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data.
(x, y, z, w) =
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