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: 1326 students won't come to school
Step-by-step explanation:
All you have to do is find out 85% of 1560 which is 1326 students!
Answer:
28
Step-by-step explanation:
10-38=28
$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr
Answer:
1. none
Step-by-step explanation:
When you simplify the expression, you see that the statement is is false for any value of x.
Answer:
The bill will be $26070.
Step-by-step explanation:
Your base plan costs you $30 a month
And each text sent or received is only 12 cents or $0.12.
Let the messages sent be = x
So, cost for messages become = 
Let total bill cost be = y
Now, total bill will comprise of monthly plan charges plus message charges.
So, equation forms:
Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.
So, their approximate bill will be :
=>
=> y = 26070
Therefore, bill will be $26070.
