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3 years ago

In rectangle ANGEL, AN=16 and AG= 34. Find the perimeter of ANGL

Mathematics

2 answers:

TEA [102]3 years ago

7 0

Answer:

100 u.m.

Step-by-step explanation:

P(ANGL) = 2ₓAN + 2ₓAG

= 2ₓ16 + 2ₓ34

= 32 + 68

= 100 u.m.

Leokris [45]3 years ago

5 0

Since a rectangle has 2 pairs of equal sides,
16x2=32
34x2=68
32+68=100
The perimeter of rectangle ANGL is 100

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$54-1.64\frac{21}{\sqrt{16}}=45.39$

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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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

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

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

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$