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3 years ago

Suppose that y varies directly with x and y= 5 when x= 6. What is y when x= 5?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

8 0

If y and x vary on one another and if we suppose y=5 and in relation x=6 then when x=5 y should be 4

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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

4 years ago

Are the solutions of the equation x^4+3x^2+2=0 help

alex41 [277]

$x^4+3x^2+2=0\\\\\text{substitute}\ x^2=t\\\\t^2+3t+2=0\\\\t^2+t+2t+2=0\\\\t(t+1)+2(t+1)=0\\\\(t+1)(t+2)=0\iff t+1=0\ \vee\ t+2=0\\\\t=-1\ \vee\ t=-2\\\\t=x^2\ \text{therefore}\\\\x^2=-1\ \vee\ x^2=-2\\\\x=\pm\sqrt{-1}\ \vee\ x=\pm\sqrt{-2}\\\\x=\pm i\ \vee\ x=\pm i\sqrt2$

5 0

3 years ago

An electrician has 4.1 meters of wire.

aleksklad [387]

A)He can cut 5 strips of of 7/10m.

7/10=0.7m

0.7*5=3.5m
3.5m of wire wil be used in cutting possible 7/10m pieces.

b)Leftover will be 0.6m.
4.1-3.5=0.6m

4 0

3 years ago

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A jeweler has a 5 and 1/2 inch strip of silver wire that she is cutting into 1 and 3/8 inch pieces. How many pieces can she make

Oduvanchick [21]

To solve this problem, you’re going to take 5.5 and divide it by 1.375. In doing so, you will get a final answer of 4 pieces.

5.5 / 1.375 = 4

6 0

4 years ago

9x⁴+6x²...................

Lubov Fominskaja [6]

Answer:

9x^4=6,561x

6x^2=36x

6561x+36x=6597x

Step-by-step explanation:

9x to the 4th power is just 9x9=81x9 and so on and the same goes for 6 then you just add them. Not Sure if this is the way you needed but feel free to ask anything.

3 0

3 years ago

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