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
120 and 8 is the answer to the question.<span />
Answer:
He bought 544 oranges and 1,360 apples
Step-by-step explanation:
Here, we want to know the number of oranges and apples bought
Let the number of oranges be x and the number of apples be y
Looking at their ratios;
x:y = 2:5
so;
x/y = 2/5
2y = 5x ••••••(i)
Now, he lost 3/4 of the apples ( by giving out)
What would be left with him is (1-3/4) = 1/4 * y = 0.25y
What is left with him out if the oranges will be; x-34
So now;
0.25y/x-34 = 2/3
3(0.25y) = 2(x-34) •••••••(ii)
From i, y = 5x/2 = 2.5x
Putting this into ii above, we have
3(0.25)(2.5x) = 2x - 68
1.875x = 2x-68
2x-1.875x = 68
0.125x = 68
x = 68/0.125
x = 544
But y = 2.5x
y = 2.5 * 544 = 1,360
Answer:
Step-by-step explanation:what are the answers inside the boxes