Answer : =
Step - by - step explanation :
6 3/6 -- simplest form --> 6 1/2
6 6/12 -- simplest form --> 6 1/2
Answer:
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
Step-by-step explanation:
Given:
...............Equation ( 1 )
................Equation ( 2 )
To Find:
x = ?
y = ?
Solution:
Substitute Equation ( 1 ) in Equation ( 2 ) we get
Now Substituting x = 2 in Equation ( 1 ) we get
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
The graph is not a function, as it does not pass the vertical line test. The lines at 2,-1 and 2,3 overlay and pass the vertical line more than once, meaning that the graph is not a function.
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
