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 95,000 Total 69,210 107,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x + y = 12,000 z + w = 95,000 y + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 z + w = 95,000 y + w = 69,210 x + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + w = 107,000 Does it have a unique solution? This system has infinitely many solutions.This system has no solution. This system has a finite number of solutions.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, z and w).The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 34,510 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 95,000 Total 69,210 107,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x + y = 12,000 z + w = 95,000 y + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 z + w = 95,000 y + w = 69,210 x + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + y + z + w = 107,000 x + y = 12,000 y + w = 95,000 z + w = 69,210 x + w = 107,000 Does it have a unique solution? This system has infinitely many solutions.This system has no solution. This system has a finite number of solutions.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, z and w).The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 34,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 | 95,000 |
| Total | 69,210 | 107,000 |
(a)
The table leads to a linear system of four equations in four unknowns. What is the system?
| x | + | y | = | 12,000 | ||||
| z | + | w | = | 95,000 | ||||
| y | + | w | = | 69,210 | ||||
| x | + | y | + | z | + | w | = | 107,000 |
|
|
| x | + | y | = | 12,000 | ||||
| z | + | w | = | 95,000 | ||||
| y | + | w | = | 69,210 | ||||
| x | + | w | = | 107,000 | ||||
|
|
| x | + | y | = | 12,000 | ||||
| y | + | w | = | 95,000 | ||||
| z | + | w | = | 69,210 | ||||
| x | + | y | + | z | + | w | = | 107,000 |
|
|
| x | + | y | = | 12,000 | ||||
| y | + | w | = | 95,000 | ||||
| z | + | w | = | 69,210 | ||||
| x | + | w | = | 107,000 | ||||
|
|
Does it have a unique solution?
This system has infinitely many solutions.This system has no solution. This system has a finite number of solutions.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, z and w).The given data is insufficient to obtain the missing data (x, y, z and w).
(b)
Given that 34,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data.
(x, y, z, w) =
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