The tree diagram below shows all of the outcomes for flipping 3 coins.

A tree diagram has outcomes (H, H, H), x, (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).

Which outcome is represented by x?
heads on the first coin, heads on the second coin, and tails on the third coin
heads on the first coin, tails on the second coin, and tails on the third coin
heads on the first coin, heads on the second coin, and heads on the third coin
heads on the first coin, tails on the second coin, and heads on the third coin

(H, H, T) represents X

Step-by-step explanation:

If a coin is tossed the outcome is either Heads or Tails.

If 3 coins are tossed, then the total no. Of outcomes are 8 .

The outcomes are,

(H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)

The outcome represented by X is heads on the first coin, heads on the second coin, and tails on the third coin.

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

answer:

step-by-step explanation: