The answer to this question is true. Based on my knowledge and research, the deviation is, in fact, the difference between any value and the mean of the entire set.
Do you have an iea of what do to before i give you the answer?
Answer:
(0, -4)
Step-by-step explanation:
Given the inequality expression
y>−2x+y≤4
This can be splitted into
y>−2x+y .... 1
and -2x+y≤4 .... 2
From1;
y>−2x+y
y - y >−2x
0 >−2x
-2x < 0
x > 0/-2
x>0
Substitute x = 0 into 2
-2(0)+ y ≤4
y≤4
Hence the solution is (0, -4)
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