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never [62]
3 years ago
10

Consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the p

opulation x and the year y over the ten-year span in the form (x, y) for specific recorded years. Use linear regression to determine a function y, where the year depends on the population. Round to three decimal places of accuracy. (2500, 2001), (2650, 2002), (3000, 2004), (3500, 2007), (4200, 2011) Predict when the population will hit 15,000.
Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer:

y = 0.00587x +1986.406

Step-by-step explanation:

Given that the population of a city increased steadily over a ten-year span. The following ordered pairs show the population x and the year y over the ten-year span in the form (x, y) for specific recorded years.

x y

 

2500 2001

2650 2002

3000 2004

3500 2007

4200 2011

 

 

Slope 0.005865485

Intercept 1986.406413

So regression line is

y = 0.00587x +1986.406

When population = 15000

0.00587(17000)+1986.406\\=2074.389

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15000(0.068÷12)(1+0.068÷12)^12×4(1+0.068÷12)^12×4 -1​
zhuklara [117]

Answer: 1556.52935024

Step-by-step explanation: Pemdas

According to Khan Academy, "The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)."

7 0
2 years ago
Given the coordinates below, what is the midpoint of AB?<br> A(-6, -10)<br> B(2,5)
madreJ [45]

Given :

\:

  • A(-6, -10)
  • B( 2, 5)

\:

\gray{ \frak{The \:  given \:  two \:   \: points  \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}

\:

Let's solve by using midpoint formula :

\:

\bf \boxed{\color{red}\frak{Midpoint \:   \: Formula :  {( \: x ,\:y \:  ) = }(  \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}

\:

\large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}

\:

\: \large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}

\:

\large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{  \cancel\frac{ -4}{2} ,  \cancel\frac{ - 5}{2} )}}

\:  \:

\underline{ \boxed{ \large \red{ \frak{option \: d }(  \frak{   - 2, - 2.5)}}}}✓

Hope Helps! :)

6 0
2 years ago
Convert 14ML (megalitres) iinto kilolitres
irakobra [83]

Answer:

14000Kilolitres

Step-by-step explanation:

1megalitre = 1000kilolitres \\

14megalitres = xkilolitres

Cross multiply

14 \times 1000 = xkilolitres

14megaitres = 14000kilolitres

6 0
3 years ago
The length of the segment indicated round your answer to the nearest 10th if nessesary
exis [7]
Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 = <span> <span> <span> 185.65 </span> </span> </span>
x = <span> <span> <span> 13.6253440324 </span> </span> </span>
Answer is C

3 0
3 years ago
I need the answers to these or for someone to tell me how to figure it out
Lorico [155]

Answer:

4. Scalene

5. Isosceles

6. Isosceles

7. Equilateral

8. Right

9. Scalene

4 0
3 years ago
Read 2 more answers
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