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7nadin3 [17]
3 years ago
5

I WILL GIVE BRAINLIEST. 1/2 of the problems on a 20-question test are algebra and one-half are geometry. Determine the probabili

ty that when 10 of these problems are chosen randomly, 1/2 of them are algebra questions. Express your answer as a decimal rounded to the nearest thousandth.
Please help and explain :)
Mathematics
1 answer:
aksik [14]3 years ago
6 0

9514 1404 393

Answer:

  0.344

Step-by-step explanation:

There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.

There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.

The probability of choosing 5 problems in each category is ...

  63504/184756 ≈ 0.344

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CaHeK987 [17]
<h3>Answer:   C = -4</h3>

==================================================

Work Shown:

C(x+2) - (x+2)(x-2) = 0

(x+2)(C-(x-2)) = 0

(x+2)(C-x+2) = 0

x+2 = 0 or C-x+2 = 0

x = -2 or x = C+2

If we want one solution only, then we must make C+2 = -2 which solves to C = -4

If C = -4, then x = C+2 = -4+2 = -2 which matches with the first solution mentioned. If C is anything else but -4, then we'd have two different solutions (eg: C = 10 leads to x = C+2 = 12 as the other solution)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.

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