Answer:
Step-by-step explanation:
Answer:
Let's try to find a linear relation like:
T(h) = a*h + b
where a is the slope and b is the y-intercept.
h is the number of hours after midnight.
T is the temperature at the time defined by h.
We know that at midnight, the temperature is 12.8°F.
At midnight, we have h = 0, then:
T(0) = a*0 + b = 12.8°F
b = 12.8°F
Now we know that our function is:
T(h) = a*h + 12.8°F
We also know that the temperature fell 1.4 °F each hour for six hours.
Then the slope will be -1.4°F
We can write the linear relationship as:
T(h) = -1.4°F*h + 12.8°F (for 0 ≤ h ≤ 6)
Where we have a restriction in the possible values of h, because we know that this model only works for six hours after midnight,
Haha me don’t know sorry okay
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
