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8090 [49]
3 years ago
14

When finding the slope of the trend line, what does the slope mean about the data of the scatterplot? Explain.

Mathematics
2 answers:
Korolek [52]3 years ago
8 0
It means if the line goes up it is postive corralation, and it it goes down, it is negative. But if there are just random dots, than there is no corralation, and you cant draw a line
faust18 [17]3 years ago
4 0

Sample Response: The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.

Brianna bts
2 years ago
edge awnser thxs
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What is the measure of x? (Geometry question involving circles...)
marusya05 [52]

Answer:

If I am correct it is either 344 degrees or 172 degrees because the highlighted area only takes over half of the circle meaning it has to be 172 or 344 as it is the only numbers over or close to 180 degrees

Hope this Helped!

3 0
3 years ago
Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
Paladinen [302]

Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

y(x)=-3a+e^{C_1} sin(x)

e^{C_1} =constant

So:

y(x)=C_1*sin(x)-3a

Finally, let's evaluate the initial condition in order to find C1:

y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

3 0
4 years ago
If b = 3/x + 3/y <br> what is the value of 1/b
sashaice [31]

Answer:

  • xy / (3x + 3y)

Step-by-step explanation:

<u>Find b first:</u>

  • b = 3/x + 3/y
  • b = (3x + 3y)/xy

<u>Find 1/b:</u>

  • 1/b = 1 : (3x + 3y)/xy
  • 1/b = xy / (3x + 3y)
5 0
3 years ago
convert 13542 base six to base ten. I'm in math20 at Folsom Lake College and i'm trying to figure out this question. I had most
VikaD [51]
Converting to base 10 can be done easily by writing a sort of digit expansion. In base 6, this number literally means

13542_6=1\times6^4+3\times6^3+5\times6^2+4\times6^1+2\times6^0

Simplifying this gives the value in base 10.

13542_6=1296+3\times216+5\times36+4\times6+2
13542_6=2150_{10}
6 0
4 years ago
Find the solution to the system:
Sliva [168]

Answer:

u = 12, v= 15

Step-by-step explanation:

Given the system of simultaneous equation:

1/6 u− 1/3 v=−3... (1)

0.2u+0.1v=3.9...(2)

Rewriting both equation as fraction

1/6 u− 1/3 v=−3

1/5 u + 1/10 v = 39/10

Multiplying equation (1) by 6 and (2) by 10 we have:

u - 2v = -18... (3)

2u + v = 39...(4)

Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:

2u-4v = -36 ...(5)

2u+v = 39...(6)

Subtracting (5) from (6);

-4v-v = -36-39

-5v = -75

v = -75/-5

v = 15

Substituting v = 15 into equation (3) to get u we have:

u - 2(15) = -18

u - 30 = -18

u = -18+30

u = 12

The solution to the system of simultaneous equation are u = 12 and v = 15

7 0
3 years ago
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