Answer: 0.2857
<u>Step-by-step explanation:</u>
At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.
One teacher + Two teachers + Three teachers = 0.2857
Answer:
$26.95, you save $22.05
Step-by-step explanation:
$49 x 0.45 = $22.05 savings, 49 - 22.05 = 26.95
Answer:
SA: 1575.2
Step-by-step explanation:
(22)(22) + (26)(22) = (23.6)(22)
484 + 572 + 519.2 = 1575.2
I hope I helped you ;)
Answer:
3.4 - 2.8d + 2.8d - 1.3 = 2.1
Step-by-step explanation:
The given expression is 3.4 -2.8d + 2.8d -1.3
Let's see the definition of like terms.
Like terms are the terms having the same variable and the same exponents.
Examples: -3xy, 2xy and 4y, 5y and -3, 2.
Now let's identify the like terms from the given expression.
3.4 -2.8d + 2.8d -1.3
Here the like terms are -2.8d, +2.8d and 3.4, -1.3
3.4 -2.8d + 2.8d -1.3
= -2.8d + 2.8d + 3.4 - 1.3 [-2.8d + 2.8d = 0] and 3.4 -1.3 = 2.1
= 0 + 2.1
=2.1
The answer is 2.1
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
