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
A=600⋅(1.0001)^365t
,,,,,,,,,,,,,,,,,,,
Note that there are 24 hours in 1 day, and 60 minutes in 1 hour
First, multiply 25 with 24
25 x 24 = 600
Next, add 600 with 9 hours
600 + 9 = 690
Note that there are 60 minutes in 1 hour. Divide 7 minutes with 60
7/60 = ~0.12 (rounded)
~690.12 hours is your answer
hope this helps
Step-by-step explanation:
g(x)=3x+5
g(-3)=3(-3)+5
=-9+5
=-4
Answer: (x, y) to (x - 3, y - 4)
Step-by-step explanation: i guessed
