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:
perimeter = 19.42 ft
Step-by-step explanation:
perimeter of semi circle = 6π/2 = 9.42
perimeter of cone = 5 + 5 = 10
10 + 9.42 = 19.42 ft
4-x=31
-4=-4
x=27
27 is the answer
(3x-4)(5x^2-2x+6)
15x^3-6x^2+18x-20x^2+8x-24
15x^3-26x^2+26x-24
Answer:
- you can scrap your knee if you don't have knee pads
- you can get hit with a ball if you don't stay away from the net
- be careful of your soundings because you could hit someone
- cover your mouth when your coughing and playing at the same time
- keep your eyes one the ball
Step-by-step explanation:
