Hello whats 45(2+2)=55(2x4)<br><br> answer please if solution or no solution

Mrs. Adams buys 4 bananas and 6 apples. Tell which ratio statement is true

bonufazy [111]

Answer:

The 4:6 ratio statement is true.

Step-by-step explanation:

4 bananas: 6 apples

5 0

3 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 $\lambda=1$ .

6 0

3 years ago

Laticia randomly selected 25% of the seventh grade students in her school and asked them their favorite season. Of the students

Marysya12 [62]

I would say 75 or 150
Do u know how many students are in her school?

4 0

3 years ago

Write a fraction or decimal that has a value between the given number

BARSIC [14]

1/3 = 8/24

1/4 = 6/24

An Answer to 31 is 7/24

0.89

0.90

An Answer to 32 is 0.895

-2/3

1/2

An Answer to 33 is -1/2

0.27 = 27/100

4/5 = 80/100

An Answer to 34 is 54/100 = 27/50

7 0

2 years ago

Factorize: 1+4a+4a^2

Licemer1 [7]

Answer: (1+2a)^2 or (1+2a)(1+2a)

Step-by-step explanation:

3 0

1 year ago

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Hello whats 45(2+2)=55(2x4) answer please if solution or no solution