Answer: the probability that a selected cup will be overfilled is 0.16
Step-by-step explanation:
Since amount of hot chocolate dispensed by a hot chocolate machine is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount of hot chocolate dispensed by a hot chocolate machine.
µ = mean
σ = standard deviation
From the information given,
µ = 16.0 oz
σ = 2 oz
We want to find the probability that a selected cup will be overfilled. Since the cup can hold 18.0 oz, the expression would be
P(x > 18) = 1 - P(x ≤ 18)
For x = 18,
z = (18 - 16)/2 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x > 18) = 1 - 0.84 = 0.16
Answer:
(x + 7)(x - 7)
Step-by-step explanation:
We need to factor [ x² - 49 ]
The middle number is 0 and the last number is -49.
Factoring is when we fill in the blanks for [ (x + _)(x + _) ]
We need to know what goes in the blanks, we need to know:
- two numbers that add to get 0
- two number that multiplied together get -49
We can try 7 and -7.
7 + (-7) = 0
7 * (-7) = -49
This works, so fill in the blanks for the factor.
(x + 7)(x + (-7))
(x + 7)(x - 7)
Best of Luck!
Those are opposite angles and opposite angles are equal to one another.
so we can say that 62 = 2 + 3x and solve x from there.
60 = 3x
x = 20
