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g100num [7]
3 years ago
15

Julio bought 3/5 pound of potato salad for dinner.Wilma bought 5/4 the amount of potato salad that Julio did.How much potato sal

ad did Wilma buy?
plz help
Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
Julio bought 2 1/2 pounds of potato salad
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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
3 years ago
Solve the linear equations <br> 1/4(x-5)+4=1/3(2x+7)-5/6
quester [9]

Answer:

x = 3

Step-by-step explanation:

Given the linear equation :

1/4(x-5)+4=1/3(2x+7)-5/6

(x-5)/4 + 4 = (2x+7)/3 - 5/6

Take the lcm and sum

(x-5+16)/4 = (4x+14-5)/6

(x+11)/4 = (4x+9)/6

Cross multiply

6(x+11) = 4(4x+9)

6x + 66 = 16x + 36

Collect like terms

6x - 16x = 36 - 66

-10x = - 30

x = 30/10

x = 3

6 0
3 years ago
What is the absolute value of │38│
ale4655 [162]

Answer:

38

Step-by-step explanation:

if there are bars around it its automatically positive even if it was -38 the absolute would still be 38.

7 0
3 years ago
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The price of a burger went from $6.00 to $8.00. What is the percent of change? This is increase and decrease
Lubov Fominskaja [6]
The cost of the burger went up 2%/ and you can also subtract 6 from8 and get the answer. Thank you have a nice day
7 0
3 years ago
How many solutions does x2 = 9 have?​
MrRa [10]
It should have 2 solutions
5 0
3 years ago
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