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
20 x 3/4 =
20/1 x 3/4= turn the 20 into a fraction
20 x 3 / 1 x 4
60/4 =
15
The answer is 15. :)
Answer:
The approximate probability is 0.7325.
Is not unlikely that a driver in that age bracket is involved in a car crash during a year, so there are reasons to be concerned.
Step-by-step explanation:
The approximate probability can be estimated using the sample proportion:

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a year.
As this value is high, there is reasons to be concerned about it.
<C = 180 - 32
<C = 148 degrees
(<C+<D = 180)
the ansewr is x=3 and y=0