Answer:
Step-by-step explanation:
<em>2( 2x + 6 ) + 2( x - 3 ) ≤ 66</em>
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
Explanation has been given below
Step-by-step explanation:
a) inter arrival times are exponentially distributed with mean 1/n , where n = rate = 1/sec.
probability distribution function is F(t)=n*exp(-n*t).
reference to any kth packet and the (k-1)th packet
the answer is = integration of F(t).dt with limits 0 to 2 = 1 - exp(-2*n) = 1 - exp(-2)
b) t=5 , P(q) = exp(-5)*(5)^q/factorial(q)
probability of fourth call within t=5 seconds is =
that is P(4) P(5) ...... = 1 - ( P(0) P(1) P(2) P(3) ) ; put the values and get the answer.
c) number of calls/rate = 4/n = 4 seconds
Answer:
The height of the objects are the same after 2 seconds.
Step-by-step explanation:
In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:
![-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2](https://tex.z-dn.net/?f=-t%5E2%20%2B%203t%20%3D%20-t%20%2B%204%5C%5Ct%5E2%20-%203t%20-%20t%20%2B%204%20%3D%200%5C%5Ct%5E2%20-%204t%20%2B%204%20%3D%200%5C%5Ct_%7B1%2C2%7D%20%3D%20%5Cfrac%7B-%28-4%29%20%5Cpm%20%5Csqrt%7B%28-4%29%5E2%20-%204%2A1%2A4%7D%7D%7B2%2A1%7D%20%3D%20%5Cfrac%7B4%20%5Cpm%20%5Csqrt%7B16%20-%2016%7D%7D%7B2%7D%5C%5Ct_%7B1%2C2%7D%20%3D%20%5Cfrac%7B4%7D%7B2%7D%20%3D%202)
The height of the objects are the same after 2 seconds.
Answer:
Ready Maid Cleaning Service's liabilities were $2930.
Step-by-step explanation:
At the end of a recent year, Ready Maid Cleaning Service, a full-service house and office cleaning service, had total assets of $ 5,810 and equity of $ 2,880.
Liabilities = assets - equity
So, Liabilities =
dollars
Hence, Ready Maid Cleaning Service's liabilities were $2930.