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Answer:
45.12%
Step-by-step explanation:
We have that l = 50
The probability density function of the exponential distribution is:
(1 / l) * e ^ (x * 1 / l) l> 0
f (X = x) = 0 otherwise
in this case X would come being the probability the road in 30 minutes or less to pick-up the children to go to school, it would come being:
P (X <= 30) = integral from 0 to 30 [1/50 e ^ (x / 50) dx]
It is integral as a result:
P (X <= 30) = (1/50) [e ^ (- x / 50) / (-1/50)]
We evaluate x = 0 up to x = 30
P (X <= 30) = (1/50) [e ^ (- 30/50) / (-1/50)] - (1/50) [e ^ (- 0/50) / (-1 / fifty)]
P (X <= 30) = -0.5488 - (-1)
P (X <= 30) = 0.4512
Therefore the probability is 45.12%
3x-5y=-2 ----(1)
4x-7y=-3 -----(2)
(2)- (1) yields,
(4x-7y) -(3x-5y) =-3--2
x-2y=-1-----(3)
multiply equation 3 by 4 yields,
4x-8y=-4 ----(4)
equation (4)-(2) yields,
4x-8y-4x+7y=-1
y=1
from equation (3),
x=1+2y=1+2(1)=3
7. 3/5 = 4.5/x
3x= 5(4.5)
x = 15/2
8. 6/4 = 9/x
6x= 45
x= 15/2
8. since triangle ABC and ADE are identical,
angle E is also 30 degrees
so angle D = 180-(30+70)=80 degrees
9. 9/3 = x/5
3x = 45
x = 45/3 = 15
Answer:corona
Step-by-step explanation: