Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers
So, total of seats will be = 6 * 4 * 50 = 1200
Now, there are 25 empty seats,
therefore the correct equation will be :
Number of seats per car: 4 × 50 = 200
Total number of seats: 200 × 6 = 1,200
Number of passengers: 1,200 − 25 = p
Answer:
Step-by-step explanation:
Additive inverse of (5a² - 4a + 3) should be added to make them zero
(5a² - 4a + 3) + (-5a² + 4a - 3)= <u>5a² - 5a² </u> <u>- 4a + 4a</u> <u>+ 3 - 3</u>
= 0
If a person gets flat commission of $60 for every $200 of profit then for $1000 profit the commission would be $300. For $1500 the commission would be $450.
