Can someone help me........

Combine like terms in the expression below.<br> 99x+4.11xy+24y+33y−12x+9.08

ale4655 [162]

Is the answer 157.19xy tell me if I'm right

6 0

3 years ago

Customers arrive at a service facility according to a Poisson process of rate λ customers/hour. Let X(t) be the number of custom

mash [69]

Answer:

Step-by-step explanation:

Given that:

X(t) = be the number of customers that have arrived up to time t.

$W_1,W_2$ ... = the successive arrival times of the customers.

(a)

Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;

$E(W_!|X(t)=2) = \int\limits^t_0 {X} ( \dfrac{d}{dx}P(X(s) \geq 1 |X(t) =2))$

$= 1- P (X(s) \leq 0|X(t) = 2) \\ \\ = 1 - \dfrac{P(X(s) \leq 0 , X(t) =2) }{P(X(t) =2)}$

$= 1 - \dfrac{P(X(s) \leq 0 , 1 \leq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}$

$= 1 - \dfrac{P(X(s) \leq 0 ,P((3 \eq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}$

Now $P(X(s) \leq 0) = P(X(s) = 0)$

(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;

$E(W_1|X(t) =2 ) = \int\limits^t_0 X (\dfrac{d}{dx}P(X(s) \geq 3 |X(t) =5 )) \\ \\ = 1- P (X(s) \leq 2 | X (t) = 5 ) \\ \\ = 1 - \dfrac{P (X(s) \leq 2, X(t) = 5 }{P(X(t) = 5)} \\ \\ = 1 - \dfrac{P (X(s) \LEQ 2, 3 (t) - X(s) \leq 5 )}{P(X(t) = 2)}$

Now; $P (X(s) \leq 2 ) = P(X(s) = 0 ) + P(X(s) = 1) + P(X(s) = 2)$

(c) Determine the conditional probability density function for W2, given that X(t)=5.

So ; the conditional probability density function of $W_2$ given that X(t)=5 is:

$f_{W_2|X(t)=5}}= (W_2|X(t) = 5) \\ \\ =\dfrac{d}{ds}P(W_2 \leq s | X(t) =5 ) \\ \\ = \dfrac{d}{ds}P(X(s) \geq 2 | X(t) = 5)$

7 0

4 years ago

How do I solve an algebraic expression

Bess [88]

Follow the BIDMAS rule for solving algebraic expressions.

6 0

4 years ago

What is the equation of the line that passes through the point 4, -6 and has a slope of -3

zheka24 [161]

Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
$- 6 = - 3(4) + b$
Multiply the -3 and 4 to get 12.
$-6 = - 12 + b$
Now divide the -12 from both sides.
$\frac{ - 6}{ - 12} = \frac{ - 12}{ - 12} + b$
-12 cancels out on the right side and your left with
$- \frac {1}{2} = b$
Now re-enter the info back into the formula.
$y = - 3x - \frac{1}{2}$
Then you've got your formula

4 0

3 years ago

Please helpppppp pleaseeeeeeeeeee.....PLEASE

Ierofanga [76]

A! I think. hope this helps

5 0

3 years ago