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lianna [129]
3 years ago
8

An urn contains 5 white ball and 8 black balls. 4 balls are randomly selected.

Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

|\Omega|=13^4=28561\\ |A|=8^3\cdot5=2560\\\\ P(A)=\dfrac{2560}{28561}\approx9\%

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What is the common difference of 80,60,45,33.75
GenaCL600 [577]

Answer:

The common difference (or common ratio) = 0.75

Step-by-step explanation:

i) let the first term be a_{1} = 80

ii) let the second term be a_{2}  = a_{1} . r = 80 × r = 60      ∴  r = \frac{60}{80} = 0.75

iii) let the third term be     a_{3}  = a_{2} . r = 60 × r = 45      ∴  r = \frac{45}{60} = 0.75

iv) let the fourth term be   a_{4} = a_{3} . r = 45 × r = 33.75   ∴ r = \frac{33.75}{45} = 0.75

Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.

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Answer:

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Step-by-step explanation:

<em>Dilation</em>

Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.

The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.

<em>Reflection</em>

Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.

The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.

<em>Rotation</em>

The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.

The center of rotation doesn't go anywhere; it is "invariant".

<em>Translation</em>

Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.

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Step-by-step explanation:

11•11=121

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Step-by-step explanation:

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