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2 years ago

HELP!!!!!!!!!!!!!! ILL GIVE BRAINILIST

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

5 0

$\frac{1}{3} \div \frac{4}{5} \\ \\ \frac{1}{3} \times \frac{5}{4} \\ \\ \frac{1 \times 4}{3 \times 4} \times \frac{5 \times 3}{4 \times 3} \\ \frac{4}{12} \times \frac{15}{12} \\ \frac{4 \times 5}{12} \\ \frac{60}{12} \\ 5 \: \: \: \: answer$

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In the parallelogram below, z = ?°

katrin [286]

Answer:

z is 111 degrees

Step-by-step explanation:

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z= 111

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3 years ago

I WILL MARK BRAINLIEST!!

vagabundo [1.1K]

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Jobisdone [24]

Answer:

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3 years ago

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

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

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

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yawa3891 [41]

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