Two friends race against each other in 100-meter and 800-meter races. Of the 200 races they ran this year, the wins, losses, and ties are shown below.

100 meter (Event D)

800 meter (Event E)

A won the race (Event A) 30 50
B won the race (Event B) 60 25
A and B tied (Event T) 10 25

What percentage of all the races are ties?

If someone wins the race today, is it more likely for A to win or B to win? How much more likely?
show your work.

17.5%

B is more likely to win, by a probability of 0.025 (2.5% chance)

Step-by-step explanation:

Total races:

100m : 30+60+10 = 100

800m : 50+25+25 = 100

Tied: 10+25 = 35

% of ties:

35/200 × 100

= 17.5%

P(A winning) = (30+50)/200 = 0.4

P(B winning) = (60+25)/200 = 0.425

Difference:

0.425 - 0.4 = 0.025

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