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3 years ago

The new apple display is 19 7⁄20 inches in height and 25 7⁄10 inches in width. What is the area of the apple display?

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

$A=497.295in^2$

Step-by-step explanation:

A display is geometrically a rectangle. So, the area of the apple display is given by:

$A=w*h$

Where:

$w=width\\h=height$

First, let's convert those mixed numbers into fractions, we can do it using the following equation:

$a \frac{b}{c} =\frac{a*c+b}{c}$

Hence:

$w=25\frac{7}{10} =\frac{25*10+7}{10} =\frac{257}{10} =25.7in$

$h=w=19\frac{7}{20} =\frac{19*20+7}{20} =\frac{387}{20} =19.35in$

Therefore, the area of the new apple display is:

$A=(19.35)*(25.7)=497.295in^2$

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3 years ago

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando

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$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

Step-by-step explanation:

$m=\frac{S_{xy}}{S_{xx}}$

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833$

And the slope would be:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

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3 years ago

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3 years ago

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