A researcher spoke to 20 people running a marathon in which 1,400 people participated. Of those 20 people, 5 competed only in professional sporting events, 12 competed in only amateur sporting events, and the rest competed in both. What was the population size for this study? A. 5
B. 12
C. 20
D. 1,400

Step-by-step explanation:

The population size is everybody running the race. It does not include people watching the race and it is not confined to just the 20 people the researcher talked to.

If it doesn't limit itself to the 20 people, then the 5 and 12 and 3 people are also too limiting.

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

i think the answer is true

step-by-step explanation: