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tamaranim1 [39]
3 years ago
14

Simplify 7n - 2n 3p 2p.

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0
7n^{-2}n^3p^2p=7n^{-2+3}p^{2+1}=\boxed{7np^3}
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If the probability of selecting, without replacement, 2 red marbles from a bag containing only red and blue marbles is 3 55 and
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Answer:

Step-by-step explanation:

Let T = the TOTAL number of marbles in the bag.

We are told that 3 of those marbles are red

P(select a red marble first) = 3/T

Once we've removed the first red marble, there are T-1 marbles remaining and 2 of them are red

So, P(select a red marble second) = 2/(T-1)

Okay, now let's use probability rules to answer the question....

P(select 2 red marbles) = P(select a red marble first AND select a red marble second)

= P(select a red marble first) x P(select a red marble second)

= 3/T x 2/(T-1)

= 6/(T² - T)

We're told that P(select 2 red marbles) = 3/55

So, we can write: 6/(T² - T) = 3/55

Cross multiply to get: 3(T² - T) = (6)(55)

Divide both sides by 3 to get: T² - T = (2)(55)

Evaluate: T² - T = 110

Rearrange: T² - T - 110 = 0

Factor: (T - 11)(T + 10) = 0

So, EITHER T = 11 OR T = -10

Since T cannot be negative, it must be the case that T = 11

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Step-by-step explanation:

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Step-by-step explanation:

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<span>twice the sum of a number and seven is 8
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