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2 years ago

7)) Brainliest and 10+ points!

Mathematics

2 answers:

strojnjashka [21]2 years ago

4 0

Divide by 2, then subtract 4

lara [203]2 years ago

3 0

Answer:

Divide by 2

Then subtract 4

Step-by-step explanation:

Let y = 2(x+4)

Exchange x and y

x = 2(y+4)

We want to solve for y

Divide each side by 2

x/2 = y+4

Then subtract 4 from each side

x/2 -4 =y

The inverse is x/2 -4

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I need help with this question

zvonat [6]

Answer:

its f

Step-by-step explanation:

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2 years ago

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If X is a r.v. such that E(X^n)=n! Find the m.g.f. of X,Mx(t). Also find the ch.f. of X,and from this deduce the distribution of

astraxan [27]

$M_X(t)=\mathbb E(e^{Xt})$
$M_X(t)=\mathbb E\left(1+Xt+\dfrac{t^2}{2!}X^2+\dfrac{t^3}{3!}X^3+\cdots\right)$
$M_X(t)=\mathbb E(1)+t\mathbb E(X)+\dfrac{t^2}{2!}\mathbb E(X^2)+\dfrac{t^3}{3!}\mathbb E(X^3)+\cdots$
$M_X(t)=1+t+t^2+t^3+\cdots$
$M_X(t)=\displaystyle\sum_{k\ge0}t^k=\frac1{1-t}$

provided that $|t|$ .

Similarly,

$\varphi_X(t)=\mathbb E(e^{iXt})$
$\varphi_X(t)=1+it+(it)^2+(it)^3+\cdots$
$\varphi_X(t)=(1-t^2+t^4-t^6+\cdots)+it(1-t^2+t^4-t^6+\cdots)$
$\varphi_X(t)=(1+it)(1-t^2+t^4-t^6+\cdots)$
$\varphi_X(t)=\dfrac{1+it}{1+t^2}=\dfrac1{1-it}$

You can find the CDF/PDF using any of the various inversion formulas. One way would be to compute

$F_X(x)=\displaystyle\frac12+\frac1{2\pi}\int_0^\infty\frac{e^{itx}\varphi_X(-t)-e^{-itx}\varphi_X(t)}{it}\,\mathrm dt$

The integral can be rewritten as

$\displaystyle\int_0^\infty\frac{2i\sin(tx)-2it\cos(tx)}{it(1+t^2)}\,\mathrm dt$

so that

$F_X(x)=\displaystyle\frac12+\frac1{2\pi}\int_0^\infty\frac{\sin(tx)-t\cos(tx)}{t(1+t^2)}\,\mathrm dt$

There are lots of ways to compute this integral. For instance, you can take the Laplace transform with respect to $x$ , which gives

$\displaystyle\mathcal L_s\left\{\int_0^\infty\frac{\sin(tx)-t\cos(tx)}{t(1+t^2)}\,\mathrm dt\right\}=\int_0^\infty\frac{1-s}{(1+t^2)(s^2+t^2)}\,\mathrm dt$
$=\displaystyle\frac{\pi(1-s)}{2s(1+s)}$

and taking the inverse transform returns

$F_X(x)=\dfrac12+\dfrac1\pi\left(\dfrac\pi2-\pi e^{-x}\right)=1-e^{-x}$

which describes an exponential distribution with parameter $\lambda=1$ .

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2 years ago

Can you help me on a math problem?

Fudgin [204]

Answer:

18...................

8 0

2 years ago

Which is the equation of the line that passes through the points (-4, 3) and (2, -6)?

olga55 [171]

Answer:

B) y=-3/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-3)/(2-(-4))

m=-9/(2+4)

m=-9/6

simplify

m=-3/2

y-y1=m(x-x1)

y-3=-3/2(x-(-4))

y-3=-3/2(x+4)

y=-3/2x-12/2+3

y=-3/2x-6+3

y=-3/2x-3

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2 years ago

Are E1 and E2 mutually exclusive events? Why or why not?

Kobotan [32]

Answer:

E1 and E2 are not mutually exclusive events. They have outcomes in common because a winning number can be both red and odd.

Step-by-step explanation:

EDMENTUM

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3 years ago

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