HELP ME PLEASE = SIMPLIFYING √578 / √507

1 answer:

8 0

First, we will find all factors under the square root: 578 has the square factor of 289.Let's check this width √289*2=√578. As you can see the radicals are not in their simplest form.Now extract and take out the square root √289 * √2. Root of √289=17 which results into 17√2Simplified Square Root for √578 is 17√2 
First, we will find all factors under the square root: 507 has the square factor of 169.Let's check this width √169*3=√507. As you can see the radicals are not in their simplest form.Now extract and take out the square root √169 * √3. Root of √169=13 which results into 13√3

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Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when

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Answer:

no of kernels pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second = 12

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solution

we get here kernels are pop at rate of here

kernels are pop at rate = 12 ÷ 235

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

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maximum kernels remaining = 85

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Determining Whether a Difference Is Statistically

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Using the z-distribution, it is found that:

The 95% confidence interval is of -1.38 to 1.38.

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<h3>What is the z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm zs$

In which:

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s is the standard error.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.