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lianna [129]
3 years ago
10

Witch of the following properties can be used to show that the expression 4^5/3 is equivalent to ^3√4^5

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Step-by-step explanation:

I think so option b Is answer

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The expression P(4, 3) is equal to:<br> -3!<br> -4!<br> - 1
nexus9112 [7]

Answer:

P(4,3) = 4!

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

P(n,r) = \frac{n!}{(n-r)!}

This implies that

P(4,3) = \frac{4!}{(4-3)!}

P(4,3) = \frac{4!}{(1)!}

P(4,3) = \frac{4!}{1!}

P(4,3) = \frac{4!}{1}

P(4,3) = 4!

6 0
3 years ago
Can you help me with this please???
Dahasolnce [82]

Answer:

c?

Step-by-step explanation:


8 0
3 years ago
What is 2 and negative three using integers​
Darina [25.2K]

If you mean "how to write the sum", the answer is

2+(-3)

The result of this sum is -1, because you start from 2 on the number line and take 3 steps to the left (negative integers mean going left, positive integers mean going right)

4 0
3 years ago
Pow Research center is a nonpartisan polling organization that provides information about issues, attitudes, and trends shaping
Brilliant_brown [7]

Remember that the difference between census and a sample survey is that in a census you take all the people of population in consideration in the study, and in the sample survey you take a part of that population in consideration to survey.

SO here if you check the problem it says that "in a recent poll, Pew reserchers found that 47% OF AMERICAN ADULT RESPONDENTS"

that is the population of the study that you want to focus, but there are a billion of american adult in US right? so its impossible that this company Pow Research made a census if you consider that a billion of people in US is almost infinite number for a company with a finite number of employees.

Also remember that a company has a budget to consider every month or every year, so to make a census or a sample survey it takes time and money, just to survey 10 people in a streeth of US cost money so if you want to reduce cost you might need to do a sample survey instead of a census.

5 0
3 years ago
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
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