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2 years ago

On a graph, points are grouped closely together and increase.

Mathematics

2 answers:

Leni [432]2 years ago

5 0

Answer: B

Step-by-step explanation:

Montano1993 [528]2 years ago

4 0

Answer:B

Step-by-step explanation:

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Use 3.14 for pi to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary

Colt1911 [192]

221.56, because in order to get the area of a circle, you must use this formula: area = (pi divided by 4) x diameter squared.

In this case, area = (3.14 / 4) x (16.8 x 16.8)

4 0

2 years ago

Read 2 more answers

The graph shows the rate at which boxes are filled at a factory.

goblinko [34]

Answer:

50 60

Step-by-step explanation:

because if u add then multiply ok multiply 60 and 50 then,you add it you get ur answer

3 0

2 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

2 years ago

7200 divided by y = 90

Andreas93 [3]

It would be Y=80
Hope that helped

3 0

3 years ago

Write an equivalent expression using the given property Part A:commutative property of multiplication. 3xy=. Part B:associative

Airida [17]

Answer:

part A: 3yx

Part B: (x+y)+z

C: 3xy-6x

Step-by-step explanation:

Commutative property: change the orders in which numbers are multiplied

associative: when all the integers are in addition you can add parentheses wherever u like

distributive: multiply the number just outside the parentheses with the every numbers inside the parentheses

Hope this heps!

4 0

2 years ago

Read 2 more answers