Just need someone to check my answer

2 answers:

3 0

The correct answer is 216x⁶y⁵.

Explanation:
The first thing we do is raise the last monomial to the third power.

(4xy)(2x²y)(3xy)³
=(4xy)(2x²y)(3³x³y³)
=4xy(2x²y)(27x³y³).

Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x³y²(27x³y³).

We multiply these last two monomials, again adding the exponents:
216x⁶y⁵.

Dimas [21]3 years ago

3 0

Answer: $216x^6y^5$

Step-by-step explanation:

The product law of exponents are given as :-

$a^m\times a^n=a^{m+n}$

Given expression:- $(4xy)(2x^2y)(3xy)^3$

Which can be written as

$(4xy)(2x^2y)(27x^3y^3)\\=4\cdot2\cdot27\cdot x^{1+2+3}y^{1+1+3}\\=216x^6y^5$

hence the simplifies form of the given expression is $216x^6y^5$

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

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Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: