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2 years ago

What is the expression in radical form?

Mathematics

1 answer:

RoseWind [281]2 years ago

3 0

Answer:

The answer is;

4^3/10 • x^9/10 •y^3/5

Step-by-step explanation:

We want to express the expression in the bracket in radical form;

(4x^3y^2)^3/10

What we shall do here is to multiply all the powers of the terms in the bracket by 3/10

So we shall have;

4^3/10 • x^(3*3/10) * y^(2*3/10)

= 4^3/10 • x^9/10 • y^3/5

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Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.36$ estimated proportion with the survey

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:

Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

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