Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is
0.16 × 848 = 136 cups
Answer:
153.94 is the area
Step-by-step explanation:
If the radius is 7p sqrt of 7p and you have your answer
The area of a circle is pi times the radius squared (A = π r²)
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction.
For conjunctions, both statements must be true for the compound statement to be true.
When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.
Answer:
1.6
Step-by-step explanation:
Since y = 8
And x = 5,
You divide both values by the X Value
8 divided by 5 = 1.6
5 divided by 5 = 1
the ratio is 1:1.6
So the constant is 1.6
9/10 of an ounce is 0.9. 0.9 X 72 = 64.8.
There is 64.8 ounces in a box.