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suter [353]
3 years ago
11

What does it mean when a line of best fit has a correlation coefficient close to 0?

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0
It means the data is totally random havin no correlation at all
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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0
3 years ago
Sweet t saved 20% of the total cost of the green-eyed fleas new album let three be fleas on the earth .If the regular price is $
Ostrovityanka [42]

Answer:

$6 Sweet t saved on green-eyed fleas new album .

Step-by-step explanation:

As given

Sweet t saved 20% of the total cost of the green-eyed fleas new album .

.If the regular price is $30.

20% is written in the decimal form.

= \frac{20}{100}

= 0.20

Thus

Sweet t saved on green-eyed fleas new album =  0.20 × 30

                                                                              = $6

Therefore $6 Sweet t saved on green-eyed fleas new album .

5 0
3 years ago
How do you write 7,870 in scientific notations ?
Nuetrik [128]

Answer:

7.87X10^3

Step-by-step explanation:

^ means to the power of

5 0
3 years ago
POSSIBLE POINTS. 10
Free_Kalibri [48]

Answer:

third one

Step-by-step explanation:

can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.

4 0
2 years ago
For the rotation - 660°, find the coterminal angle from 0° < 0 < 360°, thequadrant and the reference angle.
guajiro [1.7K]

Given the angle:

-660°

Let's find the coterminal angle from 0≤θ≤360.

To find the coterminal angle, in the interval given, let's keep adding 360 degrees to the angle until we get the angle in the interval,

We have:

Coterminal angle = -660 + 360 = -300 + 360 = 60°

Therefore, the coterminal angle is 60°.

Since 60 degrees is between 0 to 90 degrees, is is quadrant I.

60 degrees lie in Quadrant I.

Also since it is in quadrant I, the reference angle is still 60 degrees.

ANSWER:

The coterminal angle is 60°, which lies in quadrant I, with a reference angle of 60°

3 0
1 year ago
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