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: (6.8 x 10^2) x (1.3 x 10^-3) = 0.884
Step-by-step explanation:
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
5,7
it aint even that hard bro
Given the graph, you can find information that would give you the slope intercept form of the linear model, which is:
y= mx+b
first off, you can find the y intercept, which is the number at which the line crosses the y axis. that is the b value.
the m value is the slope. slope is rise/run, which simply means the # of units it goes up/down, divided by the # of units it goes right/left.
so, after knowing your m and b values, you can plug it in the formula given above, and that's how you will end up w the equation of a line. I hope this helped!! x
