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skelet666 [1.2K]
2 years ago
8

!!!!!!!!!PLEASE HELP!!!!!!!!

Mathematics
1 answer:
Alex17521 [72]2 years ago
3 0

Answer:

i think A is the answer in sin and cos

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Is the m in mx+b=y the growth
Shalnov [3]

The "m" in y = mx + b is the <u>slope.</u>

It is the number of units a point goes up, down, left, or right each time. Making the line linear/straight.

m = \frac{rise}{run}

"rise" is the the number of units you go up(+) or down(-), "run" is the number of units you go to the right


For example, if your slope is:

\frac{1}{2}

You are going up 1 unit, and to the right 2 units


3 or \frac{3}{1}

You are going up 3 units, and to the right 1 unit


-\frac{1}{2}

You are going down one unit, and to the right 2 units


-3 or -\frac{3}{1}

You are going down 3 units, and to the right 1 unit

4 0
3 years ago
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Solve for z: -14z - -16z - -8z - 11z +7z = -12
Jet001 [13]
-2. gv. gv. vv. g v gvv
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3 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
What is 9/12 simplified
Assoli18 [71]
9 and 12 have a common factor of 3 so 9/12 = 3/4
7 0
3 years ago
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PLEASE HURRY!!! AB = 20 cm, m∠A = 30° , and $m∠C = 45° . Express the number of centimeters in the length of BC in simplest radic
MrRissso [65]
Using the Sine Rule:-

20 /sin 45 =  BC / sin 30

BC = 20 sin 30 / sin45

  = 20 * 1/2  /  1 / sqrt2
  = 20 * 1/2 * sqrt2
=  10 sqrt2   answer
3 0
3 years ago
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