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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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15, 30, 60, 120, 240, <u>480</u>.

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Answer:

Meth Barie's ice cream shop should not introduce the new ice cream flavor.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4.01

Sample mean, \bar{x} = 4.4

Sample size, n = 15

Alpha, α = 0.1

Sample standard deviation, s = 1.6 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu \leq 4.01\\H_A: \mu > 4.01

We use one-tailed t test to perform this hypothesis.

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t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

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Option B) 0.968

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So the rejection region would be a value of t-statistic greater than 1.345.

Option B) t > 1.345

Conclusion:

Since,                    

t_{stat} < t_{critical}

We fail to reject the null hypothesis and accept the null hypothesis. Meth Barie's ice cream shop should not introduce the new ice cream flavor.

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