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Yuri [45]
3 years ago
12

The sales of Paul's prints decreased by 22% when Pauline's paintings came on the market. Before that Paul's profits were at $560

0. How much money did paul lose by this decrease?
Mathematics
2 answers:
murzikaleks [220]3 years ago
5 0
5600 x 0.22 = 1232

So paul lost 1232 dollars by the decrease 

I hope this helps!
Arturiano [62]3 years ago
4 0
So paul lost 1232 dollars by the decrease 
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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
Solving quadratic equation using the completing method.<br>(a).x^2+6x+1=0​
irina1246 [14]

Answer:

x = -3 + 2\sqrt2  \ , \ x = -3 - 2\sqrt2

Step-by-step explanation:

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If you're talking about the infinite series

\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}

well we've shown by comparison that this series must also converge because we know any geometric series \sum\limits_n r^n will converge as long as |r|.
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kolbaska11 [484]

Answer:

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Answer:

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