The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
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$27.00x.15=4.05
27.00+4.05=$31.05
$31.05/3= 10.35
Each person will pay $10.35
Answer:
D. 28
Step-by-step explanation:
This answer is it because 28 is greater than 25.
Answer:
Axis of symmetry: x=-2
Maximum point: (-2,8)
Step-by-step explanation:
The given function is 
.
We can complete the square to reveal the axis of symmetry and the vertex.
We factor to get:
We add the zero pairs and obtain a perfect square:
The function is now in the form 
, where V(h,k) =(-2,8) is the vertex.
