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3 years ago

A square window has an area of 256 in2. If each side of the window measures 4x, ……

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

Answer:

sides are of 16 in

Step-by-step explanation:

here's your solution

==> area of square = 256 in^2. [given]

==> side of square = 4x

==> area of square= side^2

==> 4x^2 = 256

==> 16x^2 = 256

==> x^2 = 256/16

==> x^2 = 16

==> x = √16

==> x = 4

hence sides are of 16 in

Hope it helps

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Assuming the population of interest is approximately normally distributed, construct a 95% confidence interval estimate for th

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Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\ \pm\ t_{n-1,\alpha/2}\dfrac{s}{\sqrt{n}}$

Given : $\overline{x}=19.3$

$s= 3.1$

n=23, which is a small sample(n<30), so we use t-test.

Significance level: $1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{22,0.025}=2.074$

Then , the confidence interval for population mean will be :-

$19.3\ \pm\ (2.074)\dfrac{3.1}{\sqrt{23}}\\\\\approx19.3\pm1.34\\\\=(19.3-1.34,19.3+1.34)\\\\=(17.96,20.64)$

Hence, the 95% confidence interval for the population mean is $(17.96,20.64)$

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3 years ago

PLEASE HELP!!!!!!!

andre [41]

Answer:

$\frac{4^{21}}{5^6}$

Step-by-step explanation:

$\left(\frac{4^7}{5^2}\right)^3$

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$\left(4^7\right)^3$

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$=\frac{4^{21}}{\left(5^2\right)^3}$

$\left(5^2\right)^3$

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$=\frac{4^{21}}{5^6}$

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3 years ago