Step-by-step explanation:
Answer:
(4,0) and (- 2,0): Answer
Step-by-step explanation:
Absolute value questions have two essential steps.
1. Solve the equation as it is written.
2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer
4*abs(x - 1) = 12 Divide by 4
- abs(x - 1) = 12/4
- abs(x - 1) = 3 Equate this to 3
- x - 1 = 3 Add 1 to both sides
- x - 1 + 1 = 3 + 1 Combine
- x = 4
4*abs(x - 1) = - 12 Divide by 4
- abs(x - 1) = - 12/4
- abs(x - 1) = - 3
- x - 1 = - 3 Add 1 to both sides
- x - 1 + 1 = -3 + 1
- x = - 2
So this has 2 answers
(4,0) and (- 2,0)
Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
Answer:
x=52
Step-by-step explanation:
