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S_A_V [24]
4 years ago
13

Brainliest for the correct awnser!! A calculator was used to perform a linear regression on the values in the table. The results

are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9

Mathematics
1 answer:
marin [14]4 years ago
6 0

Answer:

Option B

Step-by-step explanation:

Taking the derivative of the residual function, then applying the normal equation:

[a; b] = (X'*X)^(X'*y)

with

X = [1 1; 2 1; 3 1; 4 1; 5 1]

X' is transpose of X

y = [11; 8; 4; 1; 0]

[a; b] =  [-2.9 13.5]

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Quadratic Equation Word Problem
Crazy boy [7]
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Define x :
------------------------------------------------------
Let the width be x.

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Find Area of the walkway :
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Area = 30x + 30x + 20x + 20x + 4x²       
Area = 100x + 4x²

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Find cost of the walkway in term of x:
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1m² = $10
100x + 4x² = 10(4x² + 100x)
(100x + 4x²)m = $(40x² + 1000x)

------------------------------------------------------
Find Width of the walkway :
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The budget is $6000

40x² + 1000x = 6000
40x² + 1000x - 6000 = 0
x² + 25x -150 = 0              //Divide by 40 through
(x - 5)(x + 30) = 0             //Factorise
x = 5 or x = -30 (Rejected, width cannot be negative)

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Answer: The width can be 5m wide.
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5 0
3 years ago
One number is six more than a second number. four times the first is 10 less than 6 times the second. Find the numbers.
zavuch27 [327]

\sf{\bold{\blue{\underline{\underline{Given}}}}}

  • One number is six more than a second number.
  • four times the first is 10 less than 6 times the second.⠀⠀⠀⠀

\sf{\bold{\red{\underline{\underline{To\:Find}}}}}

  • Find the two numbers.⠀

\sf{\bold{\purple{\underline{\underline{Solution}}}}}

⠀⠀⠀⠀

In questions given,One number is six more than a second number.

if second number is a

first number is a+6.

and,

four times the first is 10 less than 6 times the second.

So,

4×(a+6)=6a-10

we have to solve this.

\bold{4\times (a+6)=6a-10   } 

\bold{4a+24=6a-10   } 

\bold{6a-4a=24+10   } 

\bold{2a=34   } 

\bold{ a=\dfrac{34}{2}  } 

\bold{ a=17  } 

we,get our second number =a=17.

So,

first number =a+6=17+6=23

5 0
3 years ago
Two friends are eating from a bag of 32 skittles sarah eats 1/2 of the 32 skittle and jami eats 1/4 of the skittles how many of
abruzzese [7]
Jami ate 8 skittles and Sarah ate 16 of the skittles together they ate a combined total of 24
7 0
3 years ago
Question 5 Unsaved
Otrada [13]

We can use the compound interest formula

F=P(1+i)^n

where

F=Future value of investment to be found

P=present value of investment ($1000)

i=interest per period (1/4 year)=0.04/4=0.01

n=number of periods (3 years * 4 quarters = 12)


Substitute or "Plug in" values, so to speak,

F=1000*(1+0.01)^12

use a calculator to do the sum

=1126.83 (to the nearest cent, and use the proper rounding rules)



3 0
3 years ago
There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 se
makvit [3.9K]

Answer:

there is no table.  Sorry!

Step-by-step explanation:

5 0
3 years ago
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