Answer:
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
Step-by-step explanation:
let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that
U≤ l and 1-U ≤l
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
this means 1-l≤U≤l
so we have
if we have L [1/2,1]
then apply the formula we have E(L)=3/4
Answer: The Answer is 5 1/8.
Step-by-step explanation:
If it were a complete circle, its circumference would be
(π) x (diameter) = (π) x (2R) = 70 π inches .
Since it's only half of the circle, the length of the curved part is
70 π / 2 = 35 π = <em>109.9 inches</em> .
Answer:
x = 5, y = -1/2
Step-by-step explanation:
3.5x - 5y = 20
3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)
3.75x + 5y = 16.25
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3.5x - 5y = 20
3.75x +5y = 16.25
7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)
7.25x=36.25
x=5 So now we have x=5 and to find y we can just plug in x into one of the equations
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3(5) + 4y = 13
15 + 4y = 13
4y = -2
y = -1/2
x = 5, y = -1/2
Then you can plug in both to check your answers.
