The characteristics described in the scatterplot are B. positive correlation D. weak association E. linear.
<h3>What are the condition for Correlation?</h3>
1. Negative Correlation:
The correlation is achieved when either or both values of x and y on the graph decrease.
2. Positive Correlation
The correlation is achieved when the slope (value) of both x and y increases.
3. Strong Correlation
This is achieved when there's uniformity in slopes x and y.
4. Weak Correlation
This is achieved when there are no uniforms in slopes x and y
5. Linear
Linearity is achieved when the data pattern is linear (straight)
6. Nonlinear
Non-Linearity refers to whether a data pattern is curved.
We can see that the characteristics described in the scatterplot are B. positive correlation D. weak association E. linear.
Learn more about correlation coefficient here:
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4x - 2 = 2x + 8
2x -2 = 8
2x = 10
x = 5
4(5)-2 = 2(5)+8
20-2 = 10+8
18 = 18
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
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Answer:
x^2 -4x +2 = 0
Step-by-step explanation:
The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...
(x -2-√2)(x -2+√2) = 0
Expanding this, we get ...
(x -2)^2 -(√2)^2 = 0
x^2 -4x +4 -2 = 0
x^2 -4x +2 = 0 . . . . the equation you're looking for
