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PolarNik [594]
3 years ago
15

Two variables have a positive non-linear correlation. Does the independent variable increase or decrease as the dependent variab

le increases
Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

The answer is "Cannot determine from the information given".

Step-by-step explanation:

Please find the image file in the attachment.

Its positive correlation is nothing but the dependent share changes whenever we increase its different variables, and then we can say the situation is non-linear, though decrease or increase can occur. Likewise, the dependent variable as well decreases because once we decrease the independent variable.

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When solving an equation in the form by taking square roots, how many solutions will there be?
ss7ja [257]
Normally two. However, one is often extraneous. 
3 0
3 years ago
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Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability
Anika [276]

Answers:

  • Red = 1/3
  • Yellow = 7/15
  • Blue = 1/5

====================================================

Explanation:

Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.

  • Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
  • Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
  • Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
4 0
2 years ago
Urgent Need Help! worth 100 points
Natali [406]

the answer to your question is 4 times 6, 4 times 3 + 4 times 3

have a nice day

4 0
3 years ago
-(5a+6)=2(3a+8) what is the answer
ValentinkaMS [17]

Answer:

a = -2

Step-by-step explanation:

-(5a+6)=2(3a+8)

-5a -6 = 2*3a +2*8

-5a -6 = 6a +16

-5a -6a = 16+6

-11a = 22

a= -22/11

a = -2

4 0
3 years ago
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