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3 years ago

Factorise 15x² + 9xy + 3x

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

Answer:

Step-by-step explanation:

15x² = 3⋅5x²

9xy = 3²xy

15x² + 9xy + 3x = 3x(5x + 3y + 1)

yarga [219]3 years ago

5 0

Here is my answer, hope to help you

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3 years ago

The circular disk spins at a constant number of revolutions per second. Moving from point A to point B, the

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4 years ago

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3 years ago

) A jar contains 4 white balls and 6 black balls. A ball is chosen at random, and its color noted. The ball is then replaced, al

taurus [48]

Answer:

The answer is " $\bold{\frac{2}{5}\ \ and \ \ \frac{6}{13}}$ ".

Step-by-step explanation:

You have 4/10 opportunities to choose a white ball, and there'll be 7 white balls and 6 black balls out of 13, and so the second time they choose a white one is 7/13, as well as the second time they choose a black, 6/13. people will also have a 4/10 chance.

There are 6/10 chances which users pick its black ball and 4 white balls would still be picked, but 9 black balls and out 13 balls and thus, its second and third time you select the white one is 4/13 but you are likely to pick a black for the second time is 9/13.

Taking the diagram of the next tree. The very first draw is marked with a and the second draw is marked with b.

$\to P(a) = \frac{4}{10}\ \ \ \ \ \ \ \ \ P(b) = \frac{6}{10}\\\\\to P(\frac{a2}{a1}) = \frac{7}{13} \ \ \ \ \ \ \ \ \ \ P(\frac{a}{b}) = \frac{4}{13}\\\\\to P(\frac{b2}{a1}) = \frac{6}{13} \ \ \ \ \ \ \ \ \ \ P(\frac{b2}{b1}) = \frac{9}{13}$

Calculating the second drawn ball is white:

$\to P(b2)=P(a)P(\frac{a2}{b1})+P(b)P(\frac{a}{b})\\$

$=\frac{4}{10}\frac{7}{13}+\frac{6}{10}\frac{4}{13}\\\\=\frac{28}{130}+\frac{24}{130}\\\\=\frac{28+24}{130}\\\\=\frac{52}{130}\\\\=\frac{2}{5}\\\\$

In point b:

$\to P(\frac{b}{a1})= \frac{P(B)P(\frac{a}{b})}{P(a)P(\frac{a2}{b1})+P(b)P(\frac{a}{b})\\}$

$=\frac{\frac{6}{10} \frac{4}{13}}{\frac{52}{130}}\\\\=\frac{\frac{24}{130}}{\frac{52}{130}}\\\\=\frac{24}{130} \times \frac{130}{52}\\\\=\frac{24}{52}\\\\=\frac{6}{13}\\$

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4 years ago