Your answer is going to be greater than
Answer:
x = m - z
Step-by-step explanation:
z = m - x
Add x to both sides.
x + z = m
Subtract z from both sides.
x = m - z
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:
There are 15 numbers of chicken and 25 numbers of bulls.
Step-by-step explanation:
The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .
Let
a = number of chicken
b = number of bull
a + b = 40................(i)
A chicken has 2 legs and a bull has 4 legs.
The total legs can be represented as
2a + 4b = 130...........(ii)
combine the equation
a + b = 40................(i)
2a + 4b = 130...........(ii)
a = 40 - b
insert the value of a in equation(ii)
2(40 - b) + 4b = 130
80 - 2b + 4b = 130
80 + 2b = 130
2b = 130 - 80
2b = 50
divide both sides by 2
b = 50/2
b = 25
Insert the value of b in equation (i)
a + b = 40
a + 25 = 40
a = 40 - 25
a = 15
There are 15 numbers of chicken and 25 numbers of bulls.
Step 1: Square the first term of the binomial. Step 2: Multiply the first term and last term of the binomial together and then double that quantity (in other words multiply by 2). Step 3: Square the last term of the binomial
