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3 years ago

I don’t understand, please help.

Mathematics

1 answer:

liubo4ka [24]3 years ago

6 0

The diagram is showing the length of each line segment.

• NM has length 110 + 4x

• ML has length x + 103 (this is the one you have to find)

• LK has length 70

• NK has length x + 243

The segment NK has length equal to the sum of the lengths of NM, ML, and LK. So we have

x + 243 = (110 + 4x) + (x + 103) + 70

Solve this equation for x :

x + 243 = (110 + 103 + 70) + (4x + x)

x + 243 = 283 + 5x

x - 5x = 283 - 243

-4x = 40

x = 40/(-4)

x = -10

Now solve for x + 103 by adding 103 to this result:

x + 103 = -10 + 103 = 93

So ML has length 93.

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4 years ago

See attachment for the whole question.

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Using probability concepts, it is found that:

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b) $\frac{4}{9}$ odds of drawing a card below a 6.

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------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In a standard deck, there are 52 cards.
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Then:

$p = \frac{20}{52} = \frac{4}{13}$

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Item b:

Converting from probability to odd, it is:

$\frac{4}{13 - 4} = \frac{4}{9}$

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Item c:

The law of large numbers states that with a large number of trials, the percentage of each outcome is close to it's theoretical probability.
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A similar problem is given at brainly.com/question/24233657

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