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3 years ago

Which statement correctly describes the decimal form of: 2/9

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

Answer:

0.222 (repeated)

Step-by-step explanation:

Fractions are essentially another way to write a division expression.

This means that if a/b, then it can also be written as a÷b. (a and b are variables)

So, 2/9 is the same thing as 2÷9.

You can then calculate 2÷9 using a calculator, long division, or any other way you usually solve questions involving division.

You might be interested in

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

2. Eliza uses the point (3, 9) to her home’s location and uses the point (6, 13) to represent the ice cream shop’s location. Eac

Elden [556K]

Answer:

I'm gonna use the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-3)^2 + (13-9)^2)

Distance = sqrt(3^2 + 4^2)

Distance = sqrt(9 + 16)

Distance = sqrt(25)

Distance = 5

The problem says every unit = 1 mile so 5 units = 5 miles.

Answer = 5 miles

Step-by-step explanation:

7 0

2 years ago

A cell phone company charges $20 for registration and $0.5 for every minute call, write an equation to model the cost C(x) for u

stealth61 [152]

Answer:

C(x) = 20 + .5m

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help!

Naddik [55]

Answer: Estimate: 36 ? units ? miles per hour ? feet per second?

Exact: 35.32142857 but if you are supposed to use significant digits, 35.32 is probably good.

Step-by-step explanation: For the estimate, round off the fractions to whole numbers, so multiply 6 x 6 to get 36

For exact I converted the mixed numbers to improper fractions, 5 3/4 = 23/4 and 6 1/7 = 43/7. Then multiplied the numerators 23 x 43= 989. And denominators, 4x7=28.

Divide numerator by denominator 989/28= 35.321428571

7 0

3 years ago

Is this equation true or false? 4(-5) = (-25)

aleksandr82 [10.1K]

4*-5 is -20 is does not equal -25 so it’s false

3 0

2 years ago