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8090 [49]
3 years ago
11

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the point

s used to determine the slope and how the equation was determined.

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer: ŷ = 0.96185X + 3.55949

Step-by-step explanation:

From the plot provided : our points are;

(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)

According to relation:

Y = mx +c

Using the online linear regression calculator

ŷ = 0.96185X + 3.55949

The gradient or slope (m) = 0.96185

m = (y2 - y1) / (x2 - x1)

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The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π
ad-work [718]

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

8 0
2 years ago
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each
vivado [14]

Answer:

They would be 44.6 miles apart

Step-by-step explanation:

Here, we want to calculate how far they will be in 1 hour

Mathematically;

Distance = speed * time

In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles

While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles

Now, we want to calculate how far apart they would be

On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end

On the 24 miles Claire would be at a distance of 20.6 miles

So how far apart they would be is

24 miles + 20.6 miles = 44.6 miles

3 0
3 years ago
Solve for the value of x: 3x + 25 = 2/3 (6x - 15)​
n200080 [17]

3x + 25 = 2/3 (6x - 15)

9x + 75 = 12x - 30

75 + 30 = 12x - 9x

3x = 105

x = 105 : 3

x = 35

3 0
4 years ago
Which equation represents a population of 320 animals that decreases at an annual rate of 19%
kotegsom [21]
320 times .19t
t being the number of years
6 0
4 years ago
What is the difference of:<br><br><br> (-3.4x+4.7)-(3+2.9x)
WINSTONCH [101]

(-3.4x+4.7)-(3+2.9x)=

distribute

-3.4x +4.7 - 3 -2.9x=

combine like terms

-3.4x -2.9x +4.7 -3

-6.3x+1.7

5 0
3 years ago
Read 2 more answers
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