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neonofarm [45]
3 years ago
15

Help meeeeeeeeeeeeeeeweeeeeeeeeeeeeeeee​

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Step-by-step explanation:

This can be put into fractions like this

Say x is the length of the missing dimension

8.5/11 = 10.5/x

Because the 2 drawings are SIMILAR, the ratio of their side lengths has to also be the same

8.5 ÷ 10.5 = 0.8095

11 × 0.8095 = 8.9047

Roung the answer to the nearest tenth

x = 8.9 in

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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
lions [1.4K]

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

7 0
3 years ago
What is the bases, height, perimeter, and the area from the trapezoid​?<br><br>please help me
Sergio039 [100]

Answer:

base : 30 cm

height : 20 cm

perimeter : 92 cm

Area          :  400 cm

Step-by-step explanation:

base : 30 cm

height : 20 cm

perimeter : 27 + 30 + 25 + 10

                 : 92 cm

Area : (1/2 ( a + b) ) x h

        : (1/2 ( 10 + 30) ) x 20

        : (20) x 20

        : 400 cm

3 0
3 years ago
The school is having a dance as a fundraiser. Tickets cost $. Each
Art [367]

Answer:

How are we supposed to know .???

we can only see half of the problem

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help pls reallyyyyyyyyyyyyyyyyyy
Ivan

Answer:

10

Step-by-step explanation:

j=6

k=4

Rewrite the equation. So let's do that-

2.5(6*4)/6

6 and the other 6 cancel out so we are left with 2.5*4

Which is then equal to 10.

By the way, whenever you see the same number in a division problem on the numerator and denominator, just cancel them out because if you still did 2.5(6*4)/6, you would still get 10. I was just simplifying it!

5 0
3 years ago
Write a rule for solving equations like 2x=24 without using model. Use a related division sentence to explain your answer.
erica [24]

2×2×2×2×2×2×2×2×2÷2×2×2=24 or 2×12r

5 0
3 years ago
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