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3 years ago

Is 4/6 is closer to a whole than 1/2

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer: Yes, it is.

Andreas93 [3]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

1/2=3/6

4/6=4/6

4/6>3/6

therefore as long as both fractions are less than a whole the bigger the fraction is the closer it is to a whole.

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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

What is -16-15????????????

frozen [14]

Answer:

Step-by-step explanation:

to lazy

6 0

3 years ago

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A projectile is launched upward from a height of 704 feet with an initial velocity of 112 ft/s. The equation gives the height h

Feliz [49]

We are given the data ho equal to 704 feet and vo equal to 112 feet per second. We apply then kinematics equation: h = ho + vot - 1/2 gt2. Substituting to the given equation,
h = 704 + 112t - 1/2 * 32*t2when h is equal to zero,0 = 704 + 112t - 1/2 * 32*t2t is equal to 11 seconds

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3 years ago

Write each proof as a two column proof

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

What can be used as a statement in a two column proof?

A two-column proof consists of a list of statements, and the reasons why those statements are true. The statements are in the left column and the reasons are in the right column. The statements consists of steps toward solving the problem.

8 0

2 years ago

What is the ratio for the volumes of two similar spheres, given that the ratio of

barxatty [35]

Answer:

Option A

Explanation:

the ratio of radii to volume is ^3 "to the third power"

so 5^3 : 9^3 would be the ratio for volumes

125:729

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3 years ago

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