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avanturin [10]
2 years ago
10

Help please answer FAST for BRAINIEST!!!! 2x^2 • 8x^-2/ 4x^-2 y^6 Please SIMPLIFY!!!!!

Mathematics
2 answers:
julsineya [31]2 years ago
8 0

Answer:

-2y^6 + 16x^3 + -\frac{1}{2}x

Sauron [17]2 years ago
6 0

Answer:

\frac{4x^2}{y^6}

Step-by-step explanation:

using the rules of exponents

a^{m} × a^{n} = a^{m+n}

\frac{1}{a^{-m} } ⇔ a^{m}

a^{0} = 1

\frac{2x^{2}.8x^{-2}  }{4x^{-2}.y^{6}  }

= \frac{16x^{2-2} }{4x^{-2}.y^{6}  }

= \frac{16x^{0} }{4x^{-2}.y^{6}  }

= \frac{16}{4x^{-2}.y^{6}  }

= \frac{4x^2}{y^{6} } ( in positive exponent form )

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If nobody walked on the moon, then Neil Armstrong didn't

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3 years ago
Each item produced by a certain manufacturer is independently of acceptable quality with probability 0.95. Approximate the proba
Diano4ka-milaya [45]

Answer:

The probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

Step-by-step explanation:

Let <em>X</em> = number of items with unacceptable quality.

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The sample of items selected is of size, <em>n</em> = 150.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and <em>p</em> = 0.05.

According to the Central limit theorem, if a sample of large size (<em>n</em> > 30) is selected from an unknown population then the sampling distribution of sample mean can be approximated by the Normal distribution.

The mean of this sampling distribution is: \mu_{\hat p}= p=0.05

The standard deviation of this sampling distribution is: \sigma_{\hat p}=\sqrt{\frac{ p(1-p)}{n}}=\sqrt{\frac{0.05(1-.0.05)}{150} }=0.0178

If 10 of the 150 items produced are unacceptable then the probability of this event is:

\hat p=\frac{10}{150}=0.067

Compute the value of P(\hat p\leq 0.067) as follows:

P(\hat p\leq 0.067)=P(\frac{\hat p-\mu_{p}}{\sigma_{p}} \leq\frac{0.067-0.05}{0.0178})=P(Z\leq 0.96)=0.8315

*Use a <em>z</em>-table for the probability.

Thus, the probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

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3 years ago
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8÷2/7
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4 years ago
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