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never [62]
3 years ago
9

Someone pls help (Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month.The graph represents t

he problem. How many dogs does she walk in the third month?)
Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

In the third month, Becca will be walking 7 dogs

Step-by-step explanation:

The graph for the question is attached

Becca started her dog walking business with one dog

Additional dog she tries to walk every next month = 2

The attached graph indicates that in the third month, Becca will be walking 7 dogs

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According to industry sources, online banking is expected to take off in the near future. The projected number of households (in
Airida [17]

Answer:

(a) The least-square regression line is: y=4.662+2.709x.

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

(a)

The formula to compute intercept and slope is:

\begin{aligned}        \alpha  &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}  \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        \end{aligned}

The values of ∑<em>X</em>, ∑<em>Y</em>, ∑<em>XY</em> and ∑<em>X</em>² are computed in the table below.

Compute the value of intercept and slope as follows:

\begin{aligned}        \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}

The least-square regression line is:

y=4.662+2.709x

(b)

For the year 2007 the value of <em>x</em> is 10.

Compute the value of <em>y</em> for <em>x</em> = 10 as follows:

y=4.662+2.709x

  =4.662+(2.709\times10)\\=4.662+27.09\\=31.752\\\approx 31.8

Thus, the number of households using online banking at the beginning of 2007 is 31.8.

5 0
3 years ago
What is the volume of a cube with a side length of 7 inches?
Ket [755]
It is B because I it’s LxWxH
6 0
4 years ago
Find the intersection of the lines 2x+5y=8 and 6x+y=10 in two ways by elimination and by substitution, step by step please.
Law Incorporation [45]

Answer:

The lines intersect at x = 1.5 and y = 1

Step-by-step explanation:

We need to find  the intersection of the lines 2x+5y=8 and 6x+y=10.

We need to find the values of x and y by elimination and by substitution.

a) By Elimination:

2x+5y = 8     (1)

6x + y = 10    (2)

Multiply eq(2) with 5 and subtract eq(1) from(2)

30x + 5y = 50

2x   + 5y = 8  

-      -         -

___________

28x = 42

x = 1.5

Now putting value of x in eq(2)

6x + y = 10

6(1.5) + y = 10

9 + y = 10

=> y = 10 - 9

y = 1

so, (x,y) = (1.5,1)

The lines intersect at x = 1.5 and y = 1

b) By substitution

2x+5y = 8     (1)

6x + y = 10    (2)

Finding value of y in equation 2 and substituting in eq(1)

y = 10 -6x

2x + 5(10 - 6x) = 8

2x + 50 - 30x = 8

-28x = 8-50

-28x = -42

x = -42/-28

x = 1.5

Now finding value of y by substituting value of x

6x + y = 10

6x = 10-y

x = 10 - y /6

2x + 5y = 8

2(10-y/6) + 5y = 8

10-y/3 + 5y = 8

10 -y +15y/3 = 8

10 +14y = 8*3

+14 y = 24 -10

+14 y =  14

y = 14/14

y = 1

So, (x,y) = (1.5,1)

The lines intersect at x = 1.5 and y = 1

8 0
4 years ago
The area of a triangular price of stained glass is 50 square centimeters. If huge height of the triangle is four times the base,
dem82 [27]
We can use the formula for the area of a triangle to solve for these dimensions.

The formula for the area of a triangle is A=\frac{1}2bh.

We know that the area of the triangle is 50, so here's our new equation: 50=\frac{1}2bh

How can we solve for b and h?

Well, we know how to solve equations with one variable.
And since the height is four times the base, we can replace h with 4b and solve for b!

50=\frac{1}2b(4b)\\\\50=\frac{1}2(4b^2)\\\\ 50=2b^2 \\\\ 25=b^2 \\\\ \boxed{b=5\ ft}

And of course, since the height is four times that, \boxed{h=20\ ft}
6 0
3 years ago
True or False The area of a regular pentagon can be found by breaking the pentagon into five congruent triangles and then taking
Aleksandr [31]
Pentagon is a five-sided polygon.The sum of interior angles of a pentagon is 540 degrees.  A regular pentagon can be subdivided into 5 triangles. The triangles formed are equilateral triangle, when you get the area of each triangle and multiply it by 5 you will get the area of the polygon.The answer is True
7 0
4 years ago
Read 2 more answers
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