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

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225