Polygraph lie-detector machines are commonly used in criminal investigations. the device measures nervous excitement, operating on the idea that if a person is telling the truth they will remain calm. the american polygraph association claims that polygraphs accurately identify liars 90% of the time. in other words, if a person lied the test results will be positive 90% of the time. although the polygraph test is good at identifying liars, there is a 50% chance that the polygraph test will say a truthful person is lying. a police force wants to predict the accuracy of lie-detector tests for 1,000 suspected criminals. assume that 700 per 1,000 suspected criminals tell the truth during polygraph tests. lie truth row totals test result: negative p test result: postive q column totals 1,000 barber, n. (2013). do lie detectors work? psychology today . what is the probability that a person is telling the truth given that the lie detector test has a positive result?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

there is no picture in order for this question to be answered

divide the numbers

step-by-step explanation: