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Angelina_Jolie [31]
3 years ago
8

Name three solutions to the inequality. x<7

Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

x=anything less than 7

x=5

x=-2

x=-7

x= anything less than 7

Step-by-step explanation:

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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
2 years ago
What is 83 divided by 72,628 not as a dec͓̽i͓̽m͓̽a͓̽l͓̽ answer
Fiesta28 [93]
The answer is 5663588 for your question
4 0
2 years ago
What is the measure of Q?
SVETLANKA909090 [29]

Answer:

<Q = 30

Step-by-step explanation:

2x + 70 + x - 10 = 180

3x + 60 = 180

3x = 120

x = 40

x - 10

40 - 10

30

<Q = 30 because of vertical angles

6 0
2 years ago
Read 2 more answers
In the inequality "y is less than or equal to 5 and is greater than or equal to -2," the product of the endpoints will be which
Licemer1 [7]

Answer:

  • (C) negative

Step-by-step explanation:

<u>Inequality "y is less than or equal to 5 and is greater than or equal to -2":</u>

  • - 2 ≤ y ≤ 5

<u>This is the interval:</u>

  • y ∈ [- 2, 5]

<u>The endpoints are:</u>

  • - 2 and 5

<u>Product of the endpoints:</u>

  • - 2 × 5 = - 10

<u>Answer choices:</u>

  • (A) odd ⇒ False, - 10 is even
  • (B) positive ⇒ False, - 10 is not positive
  • (C) negative ⇒ True
  • (D) None of the above​ ⇒ False, option C is correct
3 0
2 years ago
Read 2 more answers
What is the expanded form for 2.059
Artyom0805 [142]
   2+      0.0+      0.05+ 0.009okay so you just have to add the numbers. so you add 2+0.0+0.5+0.009. then you will get you answer. i hope this helps!!!!
3 0
2 years ago
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