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4 years ago

Simplify this radical. /84

Mathematics

2 answers:

Aliun [14]4 years ago

5 0

$\sqrt{84}$
$\sqrt{4 \times 3 \times 7}$
$2\sqrt{21}$

Stella [2.4K]4 years ago

3 0

Answer:

$\sqrt{84}=2\sqrt{21}$

Step-by-step explanation:

we need to simplify the radical $\sqrt{84}$

84 can be written as $2 \cdot 2 \cdot 3 \cdot 7$

$\sqrt{84}=\sqrt{2 \cdot 2 \cdot 3 \cdot 7}$

square root (2*2)= 2

$\sqrt{84}=2\sqrt{3 \cdot 7}$

$\sqrt{84}=2\sqrt{21}$

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Read 2 more answers

A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d

Helga [31]

Answer:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =80$ represent the population standard deviation

n=400 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.8808$