<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
Change 4 1/3 to improper fraction: 13/3
13/3 * 18/1 = 234/3
234/3 = 78.
Hope this helped☺☺♥♥
Answer:
0.375
Step-by-step explanation:
With equal probability, hence
p for both teams = 0.5
First team to win three games win, probability that series lasts 5 games :
This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :
Each team winning two games and any of the teams could be the eventual winner :
From binomial relation :
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 0.5
Team A :
Winning any 2 from 4 and winning the 5th
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Team B :
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Hence, the probability that series lasts five games is :
[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]
0.1875 + 0.1875
= 0.375
I'm not sure this is right, so please don't be mad if I got this completly wrong, but I think this is how you do it.
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