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saveliy_v [14]
3 years ago
7

This table contains data on the number of people visiting a historical landmark over a period of one week.. . Day Number of. Vis

itors. 1 120. 2 124. 3 130. 4 131. 5 135. 6 132. 7 135. . Sketch a scatter plot and draw an estimated regression line. Which of these values comes closest to the slope of your regression line?. . 0.6. . 1.0. . 1.6. . 2.4. . 3.2

Mathematics
2 answers:
inysia [295]3 years ago
4 0

Answer:

\boxed{\boxed{\text{slope}=2.4}}

Step-by-step explanation:

A scatter plot is a two-dimensional data visualization that uses dots to represent the values obtained for two different variables one plotted along the x-axis and the other plotted along the y-axis.

A regression line is a straight line that describes how a response variable y changes as an variable x changes. It is the relation between two variables x and y.

Here,

x = day of a week

y = number of visitors

The given data points are (1,120),(2,124),(3,130),(4,131),(5,135),(6,132),(7,135)

Plotting the scatter plot and regression line in Excel, the following is generated which is attached further below.

The regression line is,

y = 2.357x + 120.1

Comparing it with the general slope-intercept form y=mx+c,

slope = 2.357\approx 2.4

wariber [46]3 years ago
4 0
We are given with a table that projects data on people visiting a landmark for over one week. In this case,the slope of the line of the graph can be obtained by plotting the data in Excel. Through excel, the equation of the line is y = 2.3571x + 120.14 with r2 = 0.82. hene the answer is close to C 2.4
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galina1969 [7]

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y = 5/2x - 2 or C

Step-by-step explanation:

4 0
3 years ago
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th
Allisa [31]

Answer:

3 1/4 + 2x ≥ 6

Step-by-step explanation:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

I hope this helps you :)

6 0
3 years ago
-4x-3(-44-23)=13<br><br><br> please show the work, i’ll mark brainliest
pychu [463]

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

−4x+201=13

Step 2: Subtract 201 from both sides.

−4x+201−201=13−201

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Step 3: Divide both sides by -4.

−4x

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=

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3 0
2 years ago
Can someone please help me with my maths question​
DIA [1.3K]

Answer:

a. \  \dfrac{625 \cdot m}{27 \cdot n^{11}}

b. \  \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}

Step-by-step explanation:

The question relates with rules of indices

(a) The give expression is presented as follows;

\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}

By expanding the expression, we get;

\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}

Collecting like terms gives;

\dfrac{m^{(3 + 4 - 6)}  \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}

\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}

(b) The given expression is presented as follows;

x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4

Therefore, we get;

x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times  x^{-4} \times y^{-4 \cdot n}

Collecting like terms gives;

x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )

x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}

x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times  x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}

4 0
3 years ago
A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured
lilavasa [31]
By definition, the volume of a cylinder is given by:
 V = π * r ^ 2 * h
 Where,
 r: cylinder radius
 h: height
 Clearing h we have:
 h = (V) / (π * r ^ 2)
 Substituting values:
 h = (36π) / (π * 3 ^ 2)
 h = (36π) / (9π)
 h = (36π) / (9π)
 h = 4 cm
 Answer:
 
The height of the liquid will be in the new cylinder about:
 
h = 4 cm
5 0
2 years ago
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