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shusha [124]
3 years ago
14

Help Me quick please!!!

Mathematics
2 answers:
Musya8 [376]3 years ago
7 0

Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

Arte-miy333 [17]3 years ago
6 0

2(w)+ 2(w+2)=16

2w + 2w +4 =16

4w + 4 =16

4w = 12

w =3

width = 3 meters

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How do I get the recursive and explicit formulas of this: ..., -3, -18, -108, ...​
PtichkaEL [24]

Answer: multiply by 6

Step-by-step explanation:

3×6=18

18×6=108

108×6=648

8 0
3 years ago
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Anon25 [30]

Answer:

i) 20m/s

ii) 4s

iii) 144m

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Step-by-step explanation:

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3 years ago
In my garden there is a cage that contains both chickens and dogs. If there is a total of 30 eyes and 44 feet, how many of chick
gregori [183]

Answer:

This is a trial and error problem

we can divide 30 eyes by 2 eyes on each animals to know that there is 15 animals

15 animals now make a random guess

Find out the difference of feet. 1 dog has 4 feet - 2 chicken feet = 2 feet increase or decrease so if we need to increase by 2 we add 1 dog and if we need to subtract to then we add 1 chicken

11 dogs and 4 chickens

that is 44 feet + 8 feet = 52 feet

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11 - 4 (subtracting 4 dogs off)= 7

4 + 4 (replacing the dogs with chickens)= 8

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8 x 2 = 16

28 + 16 = 44

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Hope this helps

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The time it takes for a planet to complete its orbit around a particular star is called the? planet's sidereal year. The siderea
BartSMP [9]

Answer:

(a) See below

(b) r = 0.9879  

(c) y = -12.629 + 0.0654x

(d) See below

(e) No.

Step-by-step explanation:

(a) Plot the data

I used Excel to plot your data and got the graph in Fig 1 below.

(b) Correlation coefficient

One formula for the correlation coefficient is  

r = \dfrac{\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2} -\left (\sum{y}\right )^{2}\right]}}

The calculation is not difficult, but it is tedious.

(i) Calculate the intermediate numbers

We can display them in a table.

<u>    x   </u>    <u>      y     </u>   <u>       xy     </u>    <u>              x²    </u>   <u>       y²    </u>

   36       0.22              7.92               1296           0.05

   67        0.62            42.21              4489           0.40

   93         1.00            93.00           20164           3.46

 433        11.8          5699.4          233289        139.24

 887      29.3         25989.1          786769       858.49

1785      82.0        146370          3186225      6724

2797     163.0         455911         7823209    26569

<u>3675 </u>  <u> 248.0  </u>    <u>   911400      </u>  <u>13505625</u>   <u> 61504        </u>

9965   537.81     1545776.75  25569715   95799.63

(ii) Calculate the correlation coefficient

r = \dfrac{\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2} -\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{9\times 1545776.75 - 9965\times 537.81}{\sqrt{[9\times 25569715 -9965^{2}][9\times 95799.63 - 537.81^{2}]}} \approx \mathbf{0.9879}

(c) Regression line

The equation for the regression line is

y = a + bx where

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\= \dfrac{537.81\times 25569715 - 9965 \times 1545776.75}{9\times 25569715 - 9965^{2}} \approx \mathbf{-12.629}\\\\b = \dfrac{n \sum xy  - \sum x \sum y}{n\sum x^{2}- \left (\sum x\right )^{2}} -  \dfrac{9\times 1545776.75  - 9965 \times 537.81}{9\times 25569715 - 9965^{2}} \approx\mathbf{0.0654}\\\\\\\text{The equation for the regression line is $\large \boxed{\mathbf{y = -12.629 + 0.0654x}}$}

(d) Residuals

Insert the values of x into the regression equation to get the estimated values of y.

Then take the difference between the actual and estimated values to get the residuals.

<u>    x    </u>   <u>      y     </u>   <u>Estimated</u>   <u>Residual </u>

    36        0.22        -10                 10

    67        0.62          -8                  9

    93        1.00           -7                  8

   142        1.86           -3                  5

  433       11.8             19               -  7

  887     29.3             45               -16  

 1785     82.0            104              -22

2797    163.0            170               -  7

3675   248.0            228               20

(e) Suitability of regression line

A linear model would have the residuals scattered randomly above and below a horizontal line.

Instead, they appear to lie along a parabola (Fig. 2).

This suggests that linear regression is not a good model for the data.

4 0
3 years ago
Write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.
Dovator [93]
I am not good at this so ii wont be able to solve it for ya but i can help you.

So to find the line of best fit you have to pick to pick to points on your scatter plot. Then with those two points you add the y points together then add the x points together. Your equation with be what you got in all y over x. That is your slope. I hope this helped you!
3 0
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