C) will not effected (the most frequent is still 600$)
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:Ascending Height : 36,500 feet Descending Height : 14,600 feet
Step-by-step explanation:
<span>The main key difference between the graph of a linear relationship and the graph of a nonlinear relationship are linear relationship is the relation between variables which creates a straight line when spotted on a cartesian plane and linear relations have constant slope always.The key difference between the graph of an exponential relationship and the graph of a quadratic relationship is exponential relation is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function but quadratic relationship of the graph is the the standardized form of a quadratic equation is ax^2 + bx + c = 0,.</span>
