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:
B and C
Step-by-step explanation:
For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:
A , D, and E are all the same number (1/3) so they're all the same shade.
The remaining shades (B and C) are both 1/2 so they're the same shade.
Therefore there are two different shades of paint.
For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).
Answer 2x^3+9
Explanation: evaluate the exponent
9+4^2/8•x^3
9+16/8•x^3
Divide the numbers
9+16/8•x^3
9+2x^3
Rearrange terms
9+2x^3
2x^3+9 and that’s the answer;)
Find the mean of thw data 11,11,12,13,13,13,14,14,15,15,16,16,18
amid [387]
Answer:
the mean is 13
Step-by-step explanation:
The way to find the mean of a set of numbers is to add all the numbers together and divide the sum by the number of numbers. so 11 + 11 + 12 + 13+ 13 + 13 + 14 + 14 + 15 + 15 + 16 + 16 + 18 / 13 = 13.9
