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sweet [91]
3 years ago
8

If a 50-inch flat-screen now costs $1200, what will it cost in three years?

Mathematics
1 answer:
Ainat [17]3 years ago
5 0
Twelve hundred times three equals 3600 so in 3 years it will cost 3600
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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
3 years ago
Marla did 65 set ups each day for a week use the distributive property to show an expression you can use to find the total numbe
Maslowich
<span>X = 65(7) 
X = 455
Marla did 455 sit-ups in a week</span>
5 0
2 years ago
Write Y=4/3x-4 in slope intercept form
sergij07 [2.7K]

Answer:

Y=4/3x-4

Step-by-step explanation:

You have it in slope intercept form =)

7 0
3 years ago
1/3 cup of flour makes 5 dinner rolls. How many cups of flour for 1 roll? and how much flower for 36 rolls?
shtirl [24]
For one roll, you need to take that 1/3 cup and split it into 5 parts. To do this, divide by 5, which means the fraction becomes 1/15, giving you 1/15 cup flower for one roll.

36 rolls is just 36 times the one roll, which is 36/15 cups. You can divide both parts by 3 to make that 12/5 cups for 36 rolls.
8 0
3 years ago
Read 2 more answers
Find the midpoint between (4,-1) and (3,2)
zepelin [54]

Midpoint has form of,

M(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

We can insert the data,

M(\dfrac{4+3}{2},\dfrac{-1+2}{2})

Which simplifies to,

\boxed{M(3.5, 0.5)}

Hope this helps.

r3t40

4 0
3 years ago
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