Two numbers that add up to -19 and multiply to 48 are -16 and -3:
So, the solutions come from each parentheses: x+4=0, x-4=0, and x^2-3=0.
x+4=0
x = -4
x-4=0
x = 4
x^2-3=0
x^2 = 3
x = +/- √3
So, the solutions are -4, -√3, √3, and 4.
Answer: -3/2
Step-by-step explanation:
2
3
4
−9
=
2
3
−4
9
=
−3
2
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The value of z-score for a score that is three standard deviations above the mean is 3.
In this question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Let x be the score
let μ be the mean and
let σ be the standard deviations
Now, x = μ + 3σ
The formula of z-score is
⇒ 
⇒ 
⇒ 
Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.
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Answer:
The strongest relation between the two factors is B.) -0.8
Step-by-step explanation:
The correlation coefficient typically varies from -1 to 1.
The value of -1 for the correlation coefficient denotes that the two variables are have a very strong negative correlation.
The value of +1 for the correlation coefficient denotes that the two variables are have a very strong negative correlation.
Therefore among the four options given of -0.15, -0.8, 0.38, 0.03 the strongest relation between two factors is given by -0.8 but as the '-' sign indicates the two factors are negatively correlated.
Negative correlation means that if one variable is high the other would be low.
Positive correlation means that if one variable is high then the other variable is also high and if one variable is low then the other is also low.
