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antoniya [11.8K]
3 years ago
5

Find x. 14 in. 48 in. X = in.

Mathematics
2 answers:
geniusboy [140]3 years ago
8 0
A^2+b^2=c^2
14^2+48^2=c^2
196+2304=c^2
2500=c^2
50=c
your answer is 50
Bad White [126]3 years ago
4 0

Answer:

x = 50 in

Step-by-step explanation:

Since it is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2

14^2 + 48^2 = x^2

196 + 2304 = x^2

2500 = x^2

Take the square root of each side

sqrt(2500) = sqrt(x^2)

50 =x

x = 50 in

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JulsSmile [24]

Answer:

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

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Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

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