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vlabodo [156]
3 years ago
7

What is the expression in radical form? (5x^3 y^2) 2/8

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer: (y^{2}x^{3}⋅5)/4

Step-by-step explanation:

Convert to Radical Form

    (5x^3y^2)\frac{2}{8}

Reduce the expression \frac{2}{8} by cancelling the common factors.

Factor 2 out of 2.

    5x^3y^2\frac{2(1)}{8}

Factor 2 out of 8.

     5x^3y^2 \frac{2(1)}{2(4)}

Cancel the common factor.

     5x^3y^2 \frac{1}{4}

Combine 5 and \frac{1}{4}.

     x^3y^2\frac{5}{4}

Combine x^{3} and \frac{5}{4} .

     y^2\frac{x^3(5)}{4}

Combine y^{2} and \frac{x^3*5}{4}

     \frac{y^2x^3*5}{4}

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Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

Step-by-step explanation:

We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

<u><em>Let X = weights of adult male birds of a certain species</em></u>

So, X ~ Normal(\mu=27.5,\sigma^{2} =1.1^{2})

The z score probability distribution for normal distribution is given by;

                                 Z = \frac{ X-\mu}{\sigma } }  ~ N(0,1)

where, \mu = population mean weight = 27.5 grams

           \sigma = standard deviation = 1.1 grams

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;

          <u>Z score</u> =  \frac{ X-\mu}{\sigma } } = \frac{ 29.37-27.5}{1.1 } }

                                    =  <u>1.7</u>

                       

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