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3 years ago

What is the value of x in the equation below? 4(x + 1) = 3x +7

Mathematics

2 answers:

xeze [42]3 years ago

5 0

Answer:

Step-by-step explanation:

Vinvika [58]3 years ago

5 0

4(x+1) = 3x + 7
4x + 4 = 3x + 7
4x + 4 - 3x = 7
x + 4 = 7
x = 7 - 4
x= 3

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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,

y = dependent variable

x = independent variable

a = intercept

b = slope

Compute the values of a and b 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. x = 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

6. You want to save $1,000,000 in 40 years at a 3.5% interest rate. What is the principal (initial amount) you need to invest? R

labwork [276]

Answer:

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3 years ago

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adelina 88 [10]

I do not know what point is you trying to find

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3 years ago

Using that formula

d1i1m1o1n [39]

20% x 50 =(20 / 100) x 50 = (20 x 50) / 100 = 1000 / 100 = 10

answer is 10

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