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3 years ago

How can the following fraction 33/77 be in simplest form??

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

3/7 top and bottom are divisible by 12

Katarina [22]3 years ago

4 0

The simplest for would be 3/7 because both 33 and 77 can be divided by 11

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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

5 0

2 years ago

Can CD be changed to DC

vichka [17]

I would say no thats my anwser

8 0

2 years ago

Read 2 more answers

The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. they ranged from a low of $1,040 to a

never [62]

1720 - 1040 = 680
680/7 = 97.1

I would put them in intervals of 100

6 0

2 years ago

A rectangle has a length of 0.4m and a width of 5cm less than its length.what is the perimeter of the rectangle

Sliva [168]

Answer:

150cm

Step-by-step explanation:

0.4*100-5=35

(35+40)*2=150

6 0

2 years ago

A football team lost 5 yards on each 3 plays. explain how you could use a number line to find the team's change in field positio

ollegr [7]

<span>A football team lost 5 yards on each 3 plays.
Let’s use a number line to be able to see how far in the field did they lost in 3 games.
=> 1 : 5 (1 game is to 5 yards)
=> 3 : 15 (3 games is to 15 yards )
All in all they lost 15 yards in 3 games.
pls. see attachment for more presentation.</span>

5 0

3 years ago