Betty sits 9 feet from the fulcrum and weighs 100 pounds. How far should Ginger sit if she weighs 125
pounds?

The line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.

The following data for the Week and miles run variables are provided to construct linear regression model:

Week miles run

      1    5

      2    8

      4    13

     6    15

     8    19

    10    20

The independent variable is Week(represented by x), and the dependent variable is miles run(represented by y). In order to compute the regression coefficients, the following table needs to be used:

Let week = x, and miles run = y, then we get this table:

              x      y      xy    [tex]x^2[/tex]     [tex]y^2[/tex]

----------------------------------------------------

             1       5       5      1      25

             2      8       16    4     64

             4      13      52   16   169

             6     15       90   36  225

            8      19      152   64  361

           10     20     200  100 400

-----------------------------------------------------

Sum =  31   80    515   221  1244

Based on the above table, the following is calculated:

[tex]\bar X = \frac{1}{n} \sum_{i=1}^{n} X_i = \frac{ 31}{ 6} \approx 5.167[/tex]

[tex]\bar Y = \frac{1}{n} \sum_{i=1}^{n} Y_i = \frac{ 80}{ 6} \approx 13.33[/tex]

[tex]\large SS_{XX} = \sum_{i=1}^{n} X_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right)^2 = 221 - 31^2/6 \approx 60.833[/tex]

[tex]\large SS_{YY} = \sum_{i=1}^{n} Y_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} Y_i\right)^2 = 1244 - 80^2/6 \approx 177.33[/tex]

[tex]\large SS_{XY} = \sum_{i=1}^{n} X_i Y_i - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right) \left(\sum_{i=1}^{n} Y_i\right) = 515 - 31 \times 80/6 \approx 101.67[/tex]

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

[tex]m = \frac{SS_{XY}}{SS_{XX}} \approx \frac{ 101.67}{ 60.833} \approx 1.6712[/tex]

[tex]n = \bar Y - \bar X \cdot m = 13.33- 5.167 \times 1.6712 = 4.6986[/tex]

Therefore, we find that the regression equation is:

miles run = 4.6986 + 1.6712 Week

y = 4.6986 + 1.6712x (approximately)

To the thousandths place, it becomes:

y = 4.699 + 1.671x

Therefore, based on the information provided above, the following scatter plot and regression plot are obtained as the image attached below.

Thus, the line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

Learn more about linear regression here:

https://brainly.com/question/18854090

Answer:

y-1.671

4.699

Step-by-step explanation:

Rate of change:-

Slope:-

So

Next time is off course 50 .

Price should be calculated

Option A✓

Check all

Option B:-

No

Option C

yes

Option D

Yes

Answer:

[tex]583 - 37 = 546[/tex]

Answer:

546

Step-by-step explanation:

subtract the numbers Frome each other

Answer:

sparkline

Step-by-step explanation:

A line chart that has no axes but is used to provide information on overall trends for time series data is called a sparkline.

Answer:

4 1/10

Step-by-step explanation:

:) Hope this helps

Answer:

Step-by-step explana what grade math is this?

Answer:

6

Step-by-step explanation:

Permutation formula:

nPr=(n!)/(n-r)!

applying the formula

3P3= (3!)/(3-3)!

3!/0!

6/1

6

Answer:

B. Function A has a vertical asymptote at x = 1.

Function B has a vertical asymptote at x=−3.

Step-by-step explanation:

You can see from the diagram that the asymptope is x = -3, but to find the asymtope for the function make denominator equal to 0 and solve because the denominator can never equal 0, (you divide a number by 0, which is mathematically impossible) therefore the function will never reach that line.

hey...

hope it really helps...!!!

Step-by-step explanation:

the formulas can be easily found on the internet.

remember, the diameter of a circle is 2 times the radius.

so, the radius of our circle here is 4/2 = 2 cm.

circumference :

2×pi×r = 2×3.14×2 = 12.56 cm

area :

pi×r² = 3.14×2² = 3.14×4 = 12.56 cm²

hey, your teacher gave you the circle, where the circumference and the area have the same quantity ! funny !

so, make double sure you use the correct unit dimensions (remember, a distance has only one dimension, an area has 2 dimensions, and a volume has 3 dimensions).

a=45

Hope it helps.

Do comment if you have any query.

Answer:

53.4

Step-by-step explanation:

We first do

55 + 57 + 60 + 45 + 50

55 +57 + 45 + 110

57 + 100 + 110

57 + 210

267

Now we do 267 divided by 5.

This is 53.4

Answer:

New value - Old value / Old value (I memorize it as NOO)

3-2/2

1/2 convert to a percentage = 50 percent

The improper fraction is 45/8.

Answer:

45/8

Step-by-step explanation:

to get an improper fraction, you multiply the denominator by the whole number and add the numerator to the total. So for this problem 5(8)=40+5= 45/8

Answer:

How often do you recycle?

Step-by-step explanation:

Statistical questions are questions where results may vary meaning that depending on who you ask this question you can get very different but measurable answers.

Answer:

the radius of circle s is point,radius,arc,

Answer:776

Step-by-step explanation:

77

Brianna earned a total of approximately $400,652 over the 5 years.

A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.

To find the total amount of money Brianna earned over 5 years, we need to calculate her salary for each of the 5 years and add them up.

In the first year, Brianna's salary was $77,000.

In the second year, her salary increased by 2%, so it became:

$77,000 + 0.02 x $77,000 = $78,540

In the third year, her salary increased by another 2%, so it became:

$78,540 + 0.02 x $78,540 = $80,106.80

In the fourth year, her salary increased by 2% again, so it became:

$80,106.80 + 0.02 x $80,106.80 = $81,700.94

In the fifth and final year, her salary increased by 2% once again, so it became:

$81,700.94 + 0.02 x $81,700.94 = $83,303.11

To find the total amount of money Brianna earned over the 5 years, we just need to add up her salaries from each year:

$77,000 + $78,540 + $80,106.80 + $81,700.94 + $83,303.11 = $400,651.85

Therefore, Brianna earned a total of approximately $400,652 over the 5 years.

To know more about an expression follow

https://brainly.com/question/14298982

#SPJ2

Answer: [tex]2^4,4^2,16^1[/tex]

Step-by-step explanation:

Let's evaluate each expression

Remember the little number that is the exponent means to multiply that number by itself that amount of times

[tex]8^2=[/tex]8×8=64 this is not 16

[tex]2^4=[/tex]2×2×2×2=4×4=16

[tex]2^8[/tex] we already know [tex]2^4[/tex] was enough so this must be over 16 and incorrect

[tex]4^2=[/tex]4×4=16

[tex]16^1[/tex]=16

Answer:

36 sq in

Step-by-step explanation:

First find the area of the square: 12*12 = 144 in^2

next find the area of 1 circle, im assuming the circles are tangent to the sides of the square and to each other, so each circle has a radius of 12/4 or 3in, the area of each circle is then pi*3^2 or 27 in^2

the total area of the 4 circles is then 27*4 = 108in^2

144-108=36in^2

Answer:

Option c

Step-by-step explanation:

-7 + (19 + 5) = (-7 + 19) + 5

LHS = -7 + (19+5)

       = -7 + 24

       =  17

RHS = (-7 + 19) + 5

       = 12 + 5

        = 17

LHS = RHS

associative property of addition: When three or more numbers are added, the result remains same regardless how the numbers are grouped

Answer:

C

Step-by-step explanation: I think it is right but I don't know I am sorry if I get it wrong!

Answer:

so the answer is tyrany because i love to talk aboutheaarts so this is waht happened

Step-by-step explanation:

Answer:

Radius: 12 inches

Height: 30 inches

Diameter: 24 inches

Step-by-step explanation:

Radius: 12 inches

Height: 30 inches

Diameter: 24 inches

Answer:

A. E

B. D

C. A

Trust me on this one! I used a calculator.

Answer:

56.35 meters squared

Step-by-step explanation:

lmk if its inches

Step-by-step explanation:

=> p=1(l+b)

=> P = 1l + 1b

=> 1l - P = 1b

=> b = 1l - P/1

~Done~

Or

p=1(l+b)

Step 1: Flip the equation.

b+l=p

Step 2: Add -l to both sides.

b+l+−l=p+−l

b=−l+p

Answer:

b=−l+p

Answer:

38.6 units (nearest tenth)

Step-by-step explanation:

Formulae

(where r is the radius)

Circumference of a semicircle = diameter + half the circumference

⇒ Circumference of a semicircle = 2r + πr

Given:

[tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]

Circumference

Answer:

Step-by-step explanation:

the answer is uniform

Answer:

Skewed right :)

Step-by-step explanation:

The most data points are to the left and there is barely any to the right. That is why it is skewed right :)

Have an amazing day!!

Please rate and mark brainliest!!

Credits to: hautauv!!!

Answer:

729 square inches

Step-by-step explanation:

9^3 or 9×9×9

(im not sure but i think thats it)