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Anastasy [175]
3 years ago
14

6nsquared - 5nsquared + 7nsquared simplify the expression

Mathematics
2 answers:
Alik [6]3 years ago
5 0
6n^2-5n^2= n^2

n^2+7n^2= 8n^2

Final answer: 8n^2
Remember that all of these terms are like terms so you can just add/subtract coefficients.
Vitek1552 [10]3 years ago
5 0
The equation is 6n^2-5n^2+7n^2. Since the exponents are the same, you can just add and subtract. 6n^2-5n^2=n^2. N^2+7n^2=8n^2. The answer to this is 8n^2. I hope this helps! :)
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If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of winning.
SCORPION-xisa [38]
A) The mean would be 1.842 and the standard deviation would be 1.339.
b) It would not be unusually low.

Explanation
a) This can be modeled as a binomial distribution, since there are two outcomes (7 or not 7), the events are independent (getting a 7 on one spin does not influence the chance of a 7 on the next spin) and there are a fixed number of trials (70).  In a binomial distribution, the mean is given by n*p, where n is the number of trials and p is the probability.

μ=n*p=70*(1/38) = 1.842.

The standard deviation of a binomial distribution is given by
σ=√(n*p*(1-p))=√(70(1/38)(37/38)=1.339.

b) To determine if this is unusually low, we find the probability:
_nC_k\times p^n\times (1-p)^{k-n}
\\
\\=_{70}C_0\times (\frac{1}{38})^0\times \frac{37}{38}^{70}
\\
\\=0.15

Since this is not below 0.05, we do not consider this unusual.
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4 years ago
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