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Umnica [9.8K]
3 years ago
7

Rewrite using only positive exponents.

20%7B%7D%5E%7B2%7D%20%7D%20" id="TexFormula1" title=" \frac{1}{3a ^{ - 1} b {}^{2} } " alt=" \frac{1}{3a ^{ - 1} b {}^{2} } " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Komok [63]3 years ago
6 0
That would be  a / 3b^2


(re call that 1 /a^-1  = a)
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The equation y=x+4 gives the relation

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In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control
lianna [129]

Answer:

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

Step-by-step explanation:

There are a total of <em>N</em> = 25 aluminum castings.

Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!(n-k)!}

Compute the number of samples that are possible as follows:

{25\choose 3}=\frac{25!}{3!\times (25-3)!}

      =\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

6 0
3 years ago
PLEASE HELP QUICK!!!!!! WILL GIVE BRAINIEST!!!!!! Don’t answer if you don’t know it please.
mojhsa [17]
I’m almost 100% sure it is: D. Graph D

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3 0
3 years ago
Simplify n^4 divided by n1/2
agasfer [191]

Given:

Consider the expression is

\dfrac{n^4}{n^{\frac{1}{2}}}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{n^4}{n^{\frac{1}{2}}}

Using the properties of exponents, we get

=n^{4-\frac{1}{2}}               \left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]

=n^{\frac{8-1}{2}}

=n^{\frac{7}{2}}

Therefore, the simplified form of the given expression is n^{\frac{7}{2}}.

5 0
3 years ago
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