ANSWER

EXPLANATION
If the two events are disjoint, then they are mutually exclusive.
This means that their intersection is zero.
Therefore

This implies that,


The probability that the two events will occur together is 0, which means an impossibility.
Based on the table, the equation of the line of best fit to the nearest thousandths is equal to y = 1.671x + 4.699.
<h3>How to determine the equation of the line of best fit?</h3>
Mathematically, the equation of the line of best fit is calculated by using this formula:
y = mx + c
<u>Where:</u>
Based on the table, the slope and intercept to the nearest thousandths are equal to 1.671 and 4.699 respectively.
Therefore, the equation of the line of best fit is equal to y = 1.671x + 4.699.
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Answer:
The materials price variance is usually the responsibility of the purchasing manager. The materials quantity and labor efficiency variances are usually the responsibility of production managers and supervisors.
Answer:
16 + x2 = 0 (16)
I THINK
Step-by-step explanation: Simplifying
3x2 + 48 = 0
Reorder the terms:
48 + 3x2 = 0
Solving
48 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-48' to each side of the equation.
48 + -48 + 3x2 = 0 + -48
Combine like terms: 48 + -48 = 0
0 + 3x2 = 0 + -48
3x2 = 0 + -48
Combine like terms: 0 + -48 = -48
3x2 = -48
Divide each side by '3'.
x2 = -16
Simplifying
x2 = -16
Reorder the terms:
16 + x2 = -16 + 16
Combine like terms: -16 + 16 = 0
16 + x2 = 0
The solution to this equation could not be determined.