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Veronika [31]
3 years ago
14

Use technology to find the line of best fit for the following data.

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of y=mx+b and then find the value of b.

Solution:

The general form of best fit line is:

y=mx+b              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

y=1.1x-0.7          ...(ii)

On comparing (i) and (ii), we get

b=-0.7

Therefore, the value of b is equal to -0.7.

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ronaldo delivers the papers at the rate of 6 papers in 24 minutes. how much longer would it take him to deliver 56 papers than 4
UkoKoshka [18]

We are given

Ronaldo delivers the papers at the rate of 6 papers in 24 minutes

so, number of papers =6 in time =24 minutes

so, firstly we can find rate

rate = ( number of papers)/( time taken)

r=\frac{6}{24} =\frac{1}{4}

now, we can find times

Time for 56 papers:

we are given

number of papers =56

rate is

r=\frac{1}{4}

now, we can find time

t_1=\frac{56}{r}

t_1=\frac{56}{\frac{1}{4}}

t_1=224min

Time for 41 papers:

we are given

number of papers =41

rate is

r=\frac{1}{4}

now, we can find time

t_2=\frac{41}{r}

t_2=\frac{41}{\frac{1}{4}}

t_2=164min

now, we can find time difference

t=t_1-t_2

so, we can plug values

t=224-164

t=60 min..............Answer


8 0
3 years ago
Read 2 more answers
Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be
drek231 [11]

Answer:

Step-by-step explanation:

<h3>Solving linear equation with one variable:</h3>

   1) -4 + 3x = 4x - 8

        Add 4 to both sides

      -4 + 3x + 4 = 4x - 8 +  4

               3x     = 4x - 4

Subtract 4x from both sides,

        3x - 4x = -4x + 4x - 4

              -x   = -4

                \sf \boxed{\bf x = 4}

2) -5x - 8 = 2

Add 8 to both sides

 -5x - 8 + 8 = 2 + 8

            -5x  = 10

Divide both sides by (-5)

            \sf \dfrac{-5}{-5}x =\dfrac{10}{-5}

                 \sf \boxed{\bf x = -2}

3) 12r - 14 = 5(2-r)

    12r - 14 = 5*2 - 5*r

     12r - 14 = 10 - 5r

Add 14 to both sides

 12r - 14 + 14 = 10 - 5r + 14

             12r  = 24 - 5r

Add 5r to both sides

        12r + 5r = 24

               17r = 24

Divide both sides by 17

                 r = 24/17

4) 3x - 8 = -(17 + 2x)

  3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

           3x = -9 - 2x

Add 2x to both sides

      3x + 2x = -9

            5x  = -9

Divide both sides by 5

              \sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}

3 0
2 years ago
Read 2 more answers
Mary needs to order pizza for 18 students. Each student should get 4/7 of a pizza. How many pizzas should Mary order? How much p
Llana [10]

Answer:

11 pizzas, 5/7 left

Step-by-step explanation:

to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over

3 0
2 years ago
Read 2 more answers
Quadratic Functions: Vertex Form
Keith_Richards [23]

Answer:

(5, -9).

Step-by-step explanation:

The vertex  if (h, k).

So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).

7 0
3 years ago
Which is the closest to the area that is painted blue? A 308 units B. 116 units C. 463 units? D 124 units
Charra [1.4K]

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

6 0
2 years ago
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