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:
180°
Step-by-step explanation:
∠LMN = 90° and is the angle in a semicircle, thus
LN is the diameter of the circle and the measure of arc LPN is
m arc LPN = 180°
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.
P=

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.
P(4)=1/6
Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:
1
23
45
6
Of the 6 possibilities, 3 are even numbers.
P(even)=3/6 or 1/2
Answer:
B, C, A.
Step-by-step explanation:
A = C + 3A = C + 3
A = C + 3
A = C + 3A
C + 3A = C + 3
3A = 3
A = 1
A = C + 3
1 = C + 3
C + 3 = 1
C = -2
B = 2C
B = 2(-2)
B = -4.
So, from least to greatest, B = -4, C = -2, and A = 1.
Hope this helps!
Answer: 60 mph
Step-by-step explanation:
300+120+420=840
840/14=60