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3 years ago

6

A car rental company rents a car for $52 per day and $0.15 per mile .whats the rental fee for a car thats rented for 3 days and

driven 200 miles?

2 answers:

Sliva [168]3 years ago

6 0

186. Multiply 52*3. Then multiply 200*0.15. Then add

stira [4]3 years ago

4 0

$186 total

$52 per day x 3 days = 156

$0.15 per mile x 200 miles = 30

156 + 30 = 186

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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

Cody has $700 in a savings account that pays 4% simple interest. how much will he have in one year

Vlada [557]

748....to get the answer you need to do 700/0.04%/365= 748

7 0

3 years ago

A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.

Dmitry_Shevchenko [17]

Answer:

105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

(x km)/(17.5 cm) = (15 km)/(2.5 cm)

x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

5 0

3 years ago

How you know that the values of the digit in the numbers 1500,000 and 100,500 ate not the same

Sliva [168]

In this number 1500,000,

1 is at million place and 5 is at hundred thousand place

So, the value of 1 = 1 (1,000,000) = 1 million

And the value of 5 = 5 (100,000 ) = 500,000 = Five hundred thousand

In the second number 100,500

1 is at hundred thousand place and 5 is at hundred place

The value of 1 = 1 (100,000) = 100,000 = Hundred thousand

And the value of 5 = 5 (100 ) = 500 = Five hundred

Since the digits 1 and 5 both are at different places in both the numbers so 1,500,000 and 100,500 are not the same.

6 0

3 years ago

Please help me with this question

Nuetrik [128]

Answer:

false

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers