Answer:
0.11069
Step-by-step explanation:
We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.
P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

I hope that works for you!
Answer:
8πcm²/sec
Step-by-step explanation:
The radius of the circle increases at a rate of dr/dt = 0.25cm/sec
The radius of the circle r = 16cm
The area of the circle increases at a rate of dA/dt = ?
Area of a circle = πr²
We take the derivative with respect to t
dA/dt = 2πrdr/dt
dA/dt = 2 π (16)(0.25)
dA/dt = 8πcm²/sec
Thank you!!!
Answer:
(5,2)
Step-by-step explanation:
i am unsure of what your question is but if you want the point of intersection of the two lines its (5,2)
Answer:
4/6 and 6/9 us simlar as 2/3
6x-12y=24
x=-6y-4
6(-6y-4)-12y=24
-36y-24-12y=24
-48y=48
y=-1
6x-12(-1)=24
6x+12=24
6x=12
x=2
6(2)-12(-1)=24
12+12=24
24=24 true
and
-(2)-6(-1)=4
-2+ 6=4
4=4 true