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barxatty [35]
3 years ago
7

Choose a number between 67 and 113 that is a multiple of 2 6 and 10

Mathematics
2 answers:
Lilit [14]3 years ago
8 0
Im going to go on and say that it is 90 
nirvana33 [79]3 years ago
5 0
Your answer would be 90
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#10 i The table shows the admission costs (in dollars) and the average number of daily visitors at an amusement park each the pa
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The line of best fit is a straight line that can be used to predict the

average daily attendance for a given admission cost.

Correct responses:

  • The equation of best fit is; \underline{ \hat Y = 1,042 - 4.9 \cdot X_i}
  • The correlation coefficient is; r ≈<u> -0.969</u>

<h3>Methods by which the line of best fit is found</h3>

The given data is presented in the following tabular format;

\begin{tabular}{|c|c|c|c|c|c|c|c|c|}Cost, (dollars), x&20&21&22&24&25&27&28&30\\Daily attendance, y&940&935&940&925&920&905&910&890\end{array}\right]

The equation of the line of best fit is given by the regression line

equation as follows;

  • \hat Y = \mathbf{b_0 + b_1 \cdot X_i}

Where;

\hat Y = Predicted value of the<em> i</em>th observation

b₀ = Estimated regression equation intercept

b₁ = The estimate of the slope regression equation

X_i = The <em>i</em>th observed value

b_1 = \mathbf{\dfrac{\sum (X - \overline X) \cdot (Y - \overline Y) }{\sum \left(X - \overline X \right)^2}}

\overline X = 24.625

\overline Y = 960.625

\mathbf{\sum(X - \overline X) \cdot (Y - \overline Y)} = -433.125

\mathbf{\sum(X - \overline X)^2} = 87.875

Therefore;

b_1 = \mathbf{\dfrac{-433.125}{87.875}} \approx -4.9289

Therefore;

  • The slope given to the nearest tenth is b₁ ≈ -4.9

b_0 = \mathbf{\dfrac{\left(\sum Y \right) \cdot \left(\sum X^2 \right) - \left(\sum X \right) \cdot \left(\sum X \cdot Y\right)} {n \cdot \left(\sum X^2\right) - \left(\sum X \right)^2}}

By using MS Excel, we have;

n = 8

∑X = 197

∑Y = 7365

∑X² = 4939

∑Y² = 6782675

∑X·Y = 180930

(∑X)² = 38809

Therefore;

b_0 = \dfrac{7365 \times 4939-197 \times 180930}{8 \times 4939 - 38809} \approx \mathbf{1041.9986}

  • The y-intercept given to the nearest tenth is b₀ ≈ 1,042

The equation of the line of best fit is therefore;

  • \underline{\hat Y = 1042 - 4.9 \cdot X_i}

The correlation coefficient is given by the formula;

\displaystyle r = \mathbf{\dfrac{\sum \left(X_i - \overline X) \cdot \left(Y - \overline Y \right)}{ \sqrt{\sum \left(X_i - \overline X \right)^2 \cdot \sum \left(Y_i - \overline Y \right)^2} }}

Where;

\sqrt{\sum \left(X - \overline X \right)^2 \times \sum \left(Y - \overline Y \right)^2}  = \mathbf{446.8121}

\sum \left(X_i - \overline X \right) \times \left(Y - \overline Y\right) = \mathbf{-433.125}

Which gives;

r = \dfrac{-433.125}{446.8121}  \approx \mathbf{-0.969367213}

The correlation coefficient given to the nearest thousandth is therefore;

  • <u>Correlation coefficient, r ≈ -0.969</u>

Learn more about regression analysis here:

brainly.com/question/14279500

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2 years ago
What 10+1/3y=1 equal to​
stepladder [879]

Answer:

y=11/3

Step-by-step explanation:

just 10 plus 1 gives 11 and crisscrossing and will get 3y=11 and dividing both sides by 3 to get y free then will get y=11/3

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HEY!!! YES, YOU!!! WANNA HELP OUT A FELLOW SUFFERING VICTIM OF MATH? NOWS YOUR CHANCE!!! PLEASE HELP! 10 PTS!!!
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Answer:

16 cm

Step-by-step explanation:

Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.

Therefore,

x*(5/2) = 40

We multiply the equation by 2 and obtain:

x*5 = 40*2

5x = 80

Now we divide the equation by 5 and obtain:

x = 80/5

x = 16

We obtained that x, the original width was 16 cm

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At a camp, kids can choose swimming, art, or music. 40 kids choose swimming, 16 choose art, and 24 choose music. What is the rat
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Answer:

13 : 20

Step-by-step explanation:

Given that:

  • 40 kids choose swimming
  • 24 choose music
  • 16 choose art  

So the ratio of kids who choose music to kids who choose swimming:

Number of kids choose music : Number of kids choose swimming

  26 : 40

= 13 : 20

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Find the seventh term of the expansion of (-3x-2y)^11
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