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3 years ago

To find the unit rate, divide both values by the second value.

Mathematics

1 answer:

noname [10]3 years ago

7 0

Answer: C & E

Step-by-step explanation:

Unit rate must have a unit of 1 in the denominator.

Options C and E have a unit of 1 in the denominator.

Options A, B, & D do not have a unit of 1 in the denominator.

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

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

Milt built a prism using a 3 unit cubes. He adds two more layers of 3 unit cubes each.how many unit cubes are used for the prism

Scorpion4ik [409]

We know that
1) Milt built a prism using a 3 unit cubes
total unit cubes is 3

2) He adds two more layers of 3 unit cubes each
total unit cubes=3+2*3----> 9 unit cubes

the answer is
9 units cubes

3 0

4 years ago

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m

Pie

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to call the numbers x and y.

A number is equal to twice a smaller number plus 3.

Greater number is x, and smaller is y. So

$x = 2y + 3$

The same number is equal to twice the sum of the smaller number and 1.

This means that $x = 2y + 1$

Equaling the values for x:

$2y + 3 = 2y + 1$

$0y = -2$

$y = -\frac{2}{0}$

Since division by 0 does not exist, it means that there is no solution for the system.

5 0

3 years ago

What is the value of x in the equation 2(6х+4)- 6+ 2х = 3(4х+3) + 12 оооо

marissa [1.9K]

Answer:X= 19/2

Step-by-step explanation:

5 0

3 years ago

42/4 as a whole or mixed number and in simplified form

AlekseyPX

Answer:

10.5

Step-by-step explanation:

42/4 can be reduced by dividing numerator and denominator by 2: 21/2.

This is an improper fraction. One way to obtain the equivalent mixed number would be to multiply numerator and denominator of 21/2 by 5, obtaining 105/10, which reuces to 10.5.

We could also divide 42 by 4 in the usual way, obtaining 10.5.

6 0

3 years ago

To find the unit rate, divide both values by the second value. ​

To find the unit rate, divide both values by the second value.