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Alika [10]
3 years ago
12

If x,y and z are positive integers and 3x=4y=7z,

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
<span>3x=4y=7z
so
GCF:
3 * 4 * 7 = 84

3x = 84 
  x = 28

4y = 84
  y = 21

7z = 84
  z = 12

</span><span>least possible value for
</span><span>x + y + z = 28 + 21 + 12 = 61
</span>
answer
(d) 61
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3 years ago
The number of newly reported crime cases in a county in New York State is shown in
JulsSmile [24]

Answer:

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

y=1083.48+23.73x

The predicted number of new cases for 2013 is 1368.

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.

8 0
3 years ago
Simplest form<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7D%20%20" id="TexFormula
raketka [301]
\frac{3}{5} - \frac{3}{8} = \frac{3 * 8}{5 * 8} - \frac{3 * 5}{8 * 5} = \frac{24}{40} - \frac{15}{40} = \frac{9}{40}
4 0
3 years ago
Add brackets to the following equation to make it time. 1 + 72 ÷4 × 2 =10
Jet001 [13]

Answer:

1 + 72 ÷4 × 2 =10 with brackets it equals 10

1 + (72 ÷ (4 × 2)) =10

Step-by-step explanation:

6 0
3 years ago
A polyhedron with one pentagonal base is a
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I think it is an apex
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