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
Answer:
Orinal number of cats= 171
Step-by-step explanation:
Giving the following information:
Decrease in population= 30%
Current population= 120
<u>To calculate the original number of cats, we need to use the following formula:</u>
Orinal number of cats= current population / (1 - decrease)
Orinal number of cats= 120 / (1 - 0.3)
Orinal number of cats= 171
Answer:
31.4 inches
Step-by-step explanation:
If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.
In the given problem it is given that side of square is 10 inches.
So diameter of circle inscribed is 10 inches
we know radius of circle is half of diameter of circle
Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.
Expression to calculate circumference of circle is given by 
where r is the radius of circle.
Thus circumference of circle inscribed is
Thus, circumference of circle inscribed is 31.4 inches
Answer:
The number of hamburgers sold was 126.
Step-by-step explanation:
Let h = number of hamburgers sold
let c = cheeseburgers sold
c+h = 378
c = 2h
Substitute c =2h into c+h =278
c+h =378
2h+h = 378
Combine like terms
3h = 378
Divide by 3
3h/3 =378/3
h =126
The number of hamburgers sold was 126.
