Answer:
79% - almost 4 times out of 5.
The key to this is realizing that the number of games will not always be 5.
If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%
If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.
For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.
Add them up and you get 79.01%
Step-by-step explanation:
Hope it helps<3
Answer:
B : Length is 12, Width is 9
D: Area is 108
Step-by-step explanation:
Finding x:
Since the Perimeter is 42, subtract 14 from 42 to get 28. Then divide that by 4 to get 7. x = 7. Since x = 7 then 7 + 5 = 12. So the length is 12.
Figuring out the width:
When we find the perimeter we add all the sides, so 12 + 12 = 24 and 42 - 24 = 18. Divide 18 by 2 to get 9 and then add 12 + 12 + 9 + 9 just to check your answer
Since the you know the legnht and width, you now have to multiply them to fine the area. 12 x 9 = 108
Find the equation of the line through <span>the points (–1, –5) and (4, 5). First, find the slope: m = rise / run = 5/10 = 1/2.
Then the equation is y-5=(1/2)(x-4). If (a,1) is on this line, (a,1) must satisfy the given equation. Let y=1 and solve for x:
1-5 = (1/2)(x-4) Mult both sides by 2 to get -2 = x-4. Then x = -4+2 = -2
So (-2,1) is also on the line.</span>
It's best to use the lowest number since the GCF will max out on the lowest number's highest factor.
18:
2
3
6
9
18
Let's start from the largest factor:
52/18 = 2.888888888_ (not a factor so 18 is eliminated)
52/9 = 5.7777777777_ (not a factor)
52/3 = 17.333333333_ (nope)
52/2 = 26
The only common factor within all of them is 2.
Answer:
13
Step-by-step explanation:
The Pythagorean theorem state
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Take the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
