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Andru [333]
3 years ago
10

I need the answer to part be ASAP pleaseeee

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0
Linear Regression : y=ax+b
You might be interested in
Select the correct answer.
EleoNora [17]

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = \frac{y_2-y_1}{x_2-x_1}

                           = \frac{3-1}{-2+3}

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-1}{-1-0}

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = -\frac{6}{5}

x = -1\frac{1}{5}

From equation (1),

y = 2x + 7

y = -\frac{12}{5}+7

  = \frac{-12+35}{5}

  = \frac{23}{5}

  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

5 0
3 years ago
How much would be earned on a $425 deposit earning 3% simple interest for 2 years? A. $12.75 B. $25.50 C. $25.88 D. $38.25
sashaice [31]

Answer:

Add ak190 smart answer

Step-by-step explanation:

8 0
2 years ago
A bicycle tire is 28 inches in diameter.
Andrej [43]

Answer:

Option A.) 88 inches

Step-by-step explanation:

step 1

Find the circumference of the wheel

we know that

The circumference of a circle is equal to

C=\pi D

we have

D=28\ in

\pi =\frac{22}{7}

substitute

C=(\frac{22}{7})(28)=88\ in

8 0
3 years ago
shayla is financing a house for $126,750. She has to pay $450 plus 1.15% for a brokerage fee. How much are the mortgage brokerag
ANEK [815]
Answer: $1,907.63

Explanation:

It is stated in the problem that the brokerage fee is $450 plus 1.15% (meaning 1.15% of $126,750). Hence the brokerage fee is computed as follows
  
(Brokerage fee) = $450 + (1.15% of $126,750)
                          = $450 + (0.0115)($126,750) 
                          = $450 + $1,457.625
                          = $1,907.625

Since there is no half cents today, we round-off the brokerage fee to the nearest cent. Hence the brokerage fee is $1,907.63.

Note: In the computation of brokerage fee, we need to change 1.15% to  decimal.   
7 0
3 years ago
A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
4 0
3 years ago
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