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3 years ago

Would You Rather? Snack Attack!

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

I would buy 8 bags of everyone's favorite snacks because it's cheaper and everyone gets what that want.

Step-by-step explanation:

This is just my opinion...Hope it helps

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a refreshment jug for the baseball team holds 20 gallons of water to make an energy drink one cup of mix is used for every 2 gal

Elis [28]

10 cups of mix - you divide 20 by 2

5 0

3 years ago

Read 2 more answers

T-T help, i do not understand functions....

Afina-wow [57]

1. Rate of change is 2/5
2. Rate of change is 1.5
3. Rate of change is -1x
4.Rate of change is 1/4

8 0

3 years ago

Which expression is equivalent to

g100num [7]

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

use ( a + b)² = a² + 2ab + b² to expand the expression

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

6 0

3 years ago

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

A kitchen floor has an area of 48 square feet.One tile covers 0.75 square goot.How many tiles would be needed to cover the entir

pshichka [43]

@Texaschic101 you are correct .75 x 64 will indeed equal 48 sq feet. so your answer will be 64 tiles. hope this was of help!

4 0

3 years ago