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Gnesinka [82]
2 years ago
14

HELP PLEASE!!!!!!!!!

Mathematics
1 answer:
Tatiana [17]2 years ago
3 0

Answer:

19

Step-by-step explanation:

7x-8=6x+11

-6x   -6x

x-8=11

  +8 +8

x=19

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Explain how to use the sales tax rate to determine an item's total cost.
Sedbober [7]

Answer:

  A. Multiply the purchase price by the tax rate. Then add the result to the purchase price.

Step-by-step explanation:

The amount of tax is found by multiplying the taxed amount by the tax rate. The customer generally pays the sales tax, so the amount the customer will pay will be the sum of the purchase price and the tax.

7 0
2 years ago
#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
A submarine was located 800 feet below sea level. There is a drone
fgiga [73]

Answer:

1,050

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
It is for i ready help me
dezoksy [38]

Answer:

24, 48

Step-by-step explanation:

1. A common multiple is a number, specifically a whole number, that is a shared multiple between 2 or more numbers.

2. Given the information above, we can see there's a list of multiples for 6 and 8. The multiples that 6 and 8 share are 24 and 48, so they're common multiples.

Therefore, the answer is 24 and 48.

5 0
2 years ago
Read 2 more answers
Electric utility poles in the form of right cylinders are made out of wood that costs
olga_2 [115]

The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>

The given parameters are:

Cost per cubic foot = $11.07 per cubic foot

Height = 40 feet

Diameter = 1.5 feet

Shape = Cylinder

The volume of the cylinder is calculated as:

V = πr^2h

Where

r = Diameter/2

So, we have

r = 1.5/2

Evaluate

r = 0.75

The volume of the cylinder becomes

V = 3.14 * 0.75^2 * 40

Evaluate

V = 70.65

The cost per cubic foot is $11.07 per cubic foot.

So, the cost of a utility pole is

Cost = $11.07 * 70.65

Evaluate

Cost = $782.1

Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

Read more about volume at:

brainly.com/question/1972490

#SPJ1

5 0
1 year ago
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