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:
Arnez is 4. Andell is 13. Marianne is 7.
Step-by-step explanation:
Let x represent Arnez's age. If we write out an equation, we end up with this:
24 = (9 + x) + (x + 3) + x
24 = 9 + x + x + 3 + x
24 = (x + x + x) + (9 + 3)
24 = 3x + 12
24 - 12 = 3x + 12 - 12
12 / 3 = 3x / 3
4 = x
Check the picture below.
make sure your calculator is in Degree mode.
3x-4 = -10
3x-4 +4 = -10 +4
3x = -6
then you can divide it :
x = -6 : 3
x= -2
Answer:
If Larissa earns $500 per week, she will need $250 more in order to reach $750
