Please help me estimate the answer of 7987 divided by 39

More math XD Oml :3 :3 :D XD I NEED 20 CHARACTERS

Tju [1.3M]

The answer is in point-slope formula. You have to take the two intercepts and get the slope. The slope would be 3. Then the point-slope formula is (y-y1)=m(x-x1). They have (y+?)=?(x+1). You have to look at the points that are given and plug them in the equation.
So, the final answer would be (y+2)=3(x+1).

6 0

2 years ago

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

Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.

svetoff [14.1K]

Parameterize this surface (call it $S$ ) by

$\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k$

with $0\le u\le3$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k$

Then the area of $S$ is

$\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}$

3 0

3 years ago

Help me find surface area of this shape

lozanna [386]

The triangle <span>pyramid</span> is made up of 4 triangles.

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Formula:
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Area of triangle = 1/2 x base x height

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Area of the bottom triangle:
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Area = 1/2 x 9 x 7.8
Area = 35.1 yd²

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Area of the 3 side triangles:
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Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²

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Total Area:
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Total Area = 135 + 35.1
Total Area = 170.1 yd²

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Answer: Surface Area = 170.1 yd².
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4 0

3 years ago

7045 ÷ 15 is what? i can't do it

Kazeer [188]

Answer:

As a decimal, 469.666667. As a remainder, 269 r10. As a fraction,

469 with 666667 over 1000000

Step-by-step explanation:

Use a calculator and mental mat, I'm not great at explaining things.

Hope I could help though!

7 0

3 years ago

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