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2 years ago

Classify the equation as having one solution, infinitely many solutions or no

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

4 0

Answer:

No solutions

Step-by-step explanation:

Simplify both sides of the equation as much as possible:

9r + 5 - 4 = 4r + 5r - 12

9r + 1 = 9r - 12

Both sides have "9r" which when cancel out, leave the equation as:

+1 = -12

This means there are no solutions.

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The number of hours between successive train arrivals at the station is uniformly distributed on (0, 1). Passengers arrive accor

Zepler [3.9K]

Answer:

The value of $E(X) =\frac{7}{2}$ .

The value of $Var (X)= \frac{91}{12}$ .

Step-by-step explanation:

Consider the provided information.

The number of hours between successive train arrivals at the station is uniformly distributed on (0, 1). Passengers arrive according to a Poisson process with rate 7 per hour.

Let X denote the number of people who get on the next train.

Part (A)

Here, X = N(T), N(t) ∼ Poisson(λt), and λ = 7

Therefore, E(N(T)|T) = λT

Now find E(X) as shown below

$E(X) = E(N(T))$

$E(X) = E(E(N(T)|T))$

$E(X) = E(\lambda T) = \frac{7}{2}$

Hence, the value of $E(X) =\frac{7}{2}$ .

Part (B)

Now we need to find VAR[X]

$Var (X) = Var (E(N(T)|T)) +E(Var (X|T))$

$Var (X)= E(\lambda T)+Var (\lambda T)$

$Var (X)= \frac{49}{12}+\frac{7}{2}$

$Var (X)= \frac{91}{12}$

Hence, the value of $Var (X)= \frac{91}{12}$

7 0

3 years ago

-0.056 + 0.27 = ?

Kamila [148]

Step-by-step explanation:

hope i m correct

thank you

5 0

2 years ago

Read 2 more answers

The graph of a linear relationship is shown. Which equation best represents the relationship between x and y in the graph

Finger [1]

Answer:

B. y = -3/4x + 5/2

Step-by-step explanation:

Take two points from the graph, let's use (-2, 4) and (2, 1):

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (1 - 4) / (2 - (-2))

= -3/4

Find y-intercept using slope above and anyone point:

y = mx + b

(1) = -3/4(2) + b

1 = -3/2 + b

b = 1 + 3/2

b = 5/2

Equation of line using m and b above:

y = mx + b

y = -3/4x + 5/2

8 0

2 years ago

Anyone who knows this mathematic question will get the brainliest

spayn [35]

The third one is 510 not show in the pic here

7 0

3 years ago

B)simplify the expression <br> 7x2 + 4x – 2 + 8x2 – 9x – 5

konstantin123 [22]

Answer:

=25x-7

Step-by-step explanation:

4 0

3 years ago