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Charra [1.4K]
3 years ago
6

Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third

day she biked 20 miles and on the eighth day she biked 35 miles use these two data points to determine the equation of the line best of fit set for Maggie’s data
Mathematics
1 answer:
KIM [24]3 years ago
3 0
We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that <span>on the eighth day she biked 35 miles, so our second point is (8,35).

To relate our two point we are going to use the slope formula: </span>m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}}
We can infer form our points that x_{1}=3, y_{1}=20,x_{2}=8, and y_{2}=35. so lets replace those values in our slope formula:
m= \frac{35-20}{8-3}
m= \frac{15}{5}
m=3

Now that we have the slope, we can use the point-slope formula <span>determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: </span>y-y_{1}=m(x-x_{1})
y-20=3(x-3)
y-20=3x-9
y=3x+11

We can conclude that the equation of the line that  best fit the set for Maggie’s data is y=3x+11.
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Help please thank you!!!!
Nana76 [90]
1. You have that:

 - The trapezoids are similar.
 - The larger  base of the smaller trapezoid is 18 m and its area is 310 m².
 - The larger base of the larger trapezoid is 32 m.

 2. Then:

 Sides=18/32
 Sides=9/16

 Area=(9/16)²
 Area=81/256

 3. Now, you can find the area of the larger trapezoid, as below:

 81/256=310/x
 81x=(310)(256)
 x=79360/81
 x=980 m²

 Therefore, the answer is: The area of the larger trapezoid is 980 m².
4 0
3 years ago
An English class attended a performance at the theater. The class took 25 students and 3 adults. Each student ticket, s, cost $3
Mashcka [7]

Answer:

A or d to narrow it down

Step-by-step explanation:

Hopefully you can figure out which one I am sorry.

7 0
3 years ago
the lengths of the sides of a triangle are 3,3, 3square root of 2. can the triangle be a right triangle? Yes or no?
Tema [17]
I think yes due to root 2 maybe I am wrong sorry id this was not helpful

7 0
3 years ago
Read 2 more answers
Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?
mestny [16]

Answer:

<h3>77</h3>

Step-by-step explanation:

If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC

Given

<ABC = 10x - 7,

<ABD = 6x + 5

<DBC = 36

Substituting the given parameters into the formula above;

ABD+<DBC = <ABC

6x + 5+ 36 = 10x-7

6x+41 = 10x-7

collect like terms

6x-10x = -7-41

-4x = -48

divide both sides by -4

-4x/-4 = -48/-4

x = 12

To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5

<ABD = 6(12)+5

<ABD = 72+5

<ABD =77

Hence the value of <ABD is 77

5 0
3 years ago
The Pi Mu Epsilon mathematics honorary society of Outstanding Universitywishes to have a picture taken of its six officers. Ther
boyakko [2]

Answer:

720

Step-by-step explanation:

I will use the following counting principle:

Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.

First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of  the set of six people, therefore there are \binom{6}{3}=20 ways of doing this.

Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.

By the product rule, there are 20×36=720 ways of arrange the officers.

8 0
3 years ago
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