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Lena [83]
2 years ago
9

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
aliya0001 [1]2 years ago
3 0
The slope is 2/3
the y-intercept is (0,6)
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The graph shows the number of boys and girls who purchased different types of food.
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CheeseBurgers is the answer
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4 years ago
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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
4 years ago
CAN SOMEONE PLEASEEEE HELP MEEE <br> (please graph it for me) &lt;33
KengaRu [80]

We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).

We need to rotated 90° counterclockwise about the origin.

In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.

In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

A(2,2) --> A'(-2,2)

B(7,1) --> B'(-1,7)

C(8,-4) --> C'(4,8)

5 0
4 years ago
Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?
lubasha [3.4K]

Answer:

Question 1:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question 2:  Options 1, 2, 5

Step-by-step explanation:

Question #3

Step 1:  Factor

2x^5 − 54x^2

2x^2(x^3 - 27)

<em>2x^2(x - 3)(x^2 + 3x + 9)</em>

<em />

Answer:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question #2

p(x) = 4x^6 + 32x^3

<u>Step 1:  Factor</u>

4x^6 + 32x^3

4x^3(x^3 + 8)

<em>4x^3(x + 2)(x^2 - 2x + 4)</em>

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Answer:  Options 1, 2, 5

4 0
3 years ago
so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?
NARA [144]

Answer:

10-2+8

8+8=16

Step-by-step explanation:

4 0
3 years ago
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