Answer:
$(x - 1425)/3
Step-by-step explanation:
Let total monthly budget be x
Amount spent on mortgage = $1425
Remaining balance after spending on mortgage = x - $1425
Amount spent on recreational activities = one-third of the balance
Expressing amount spent on recreational activities as an equation will give;
Amount spent on recreational activities = 1/3 of x - $1425
= 1/3 × ( x - $1425)
= ( x - $1425)/3
Hence the required equation is;
R = $(x - 1425)/3
R means recreational activities
X^2+35=180?
Subtract 35 on each side
x^2=145
Take the square root
x= -sqrt(145)
+sqrt 145...
I hope this helps!!
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
You would go through 4.5 bottles
