Answer:
![Center\ Line = 0.05](https://tex.z-dn.net/?f=Center%5C%20Line%20%3D%200.05)
Step-by-step explanation:
Given
--- daily samples
![days = 40](https://tex.z-dn.net/?f=days%20%3D%2040)
Required
Determine the center line of the p-chart
The question states that, in all the 40 days; the average percentage of incorrect shipments is 5%
And the center line of a p chart is a measure of the expected value of all proportions
This implies that:
![Center\ Line = 5\%](https://tex.z-dn.net/?f=Center%5C%20Line%20%3D%205%5C%25)
![Center\ Line = 0.05](https://tex.z-dn.net/?f=Center%5C%20Line%20%3D%200.05)
Answer:
The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)
Step-by-step explanation:
When solving absolute value inequalities, there are two cases to consider.
Case 1: The expression within the absolute value symbols is positive.
Case 2: The expression within the absolute value symbols is negative.
The solution is the intersection of the solutions of these two cases.
In other words, for any real numbers a and b,
- if |a|> b then a>b or a<-b
- if |a|< b then a<b or a>-b
So, being |3x-9|≤15
Solving: 3x-9 ≤ 15
3x ≤15 + 9
3x ≤24
x ≤24÷3
x≤8
or 3x-9 ≥ -15
3x ≥-15 +9
3x ≥-6
x ≥ (-6)÷3
x ≥ -2
The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]
So, being |2x-3|≥5
Solving: 2x-3 ≥ 5
2x ≥ 5 + 3
2x ≥8
x ≥8÷2
x≥8
or 2x-3 ≤ -5
2x ≤-5 +3
2x ≤-2
x ≤ (-2)÷2
x ≤ -2
Expressing the solution as an interval: (-∞,2] ∪ [8,∞)
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
Answer:
The slope of this line would be undefined.
Step-by-step explanation:
To find this, use the two points in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -2)/(-1 - -1)
m = 4/0
m = undefined.
Since we can't divide by 0, then we know this is undefined.