Answer:
D (7, 0.5)
Step-by-step explanation:
The equations must be interpreted to be ...
A graph shows the solution to be (7, 0.5), matching selection D.
___
You can add the two equations together to get ...
(y) +(y) = (-1/2x +4) + (1/2x -3)
2y = 1 . . . . . simplify
y = 1/2 . . . . .divide by 2
It can be convenient to use the second equation to find x.
1/2 = 1/2x - 3
1 = x - 6 . . . . . . multiply by 2
7 = x . . . . . . . . . add 6
The solution is (x, y) = (7, 0.5). . . . . matches selection D.
Answer:
Not sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rate of change = (2-3.6)/(5-(-3)) = -1.6/8 = 0.2
Answer:
0.1507 or 15.07%.
Step-by-step explanation:
We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.
First of all, we will find z-scores for data points using z-score formula.
, where,
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.
Let us find z-score of data point 22.03.
Using probability formula 
, we will get:
Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.
Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value
Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
