Answer:
2/3
Step-by-step explanation:
Reduce the fraction 18/27 into its lowest terms
since both 18 and 27 are divisible by 9, divide both terms by 9
18/9 = 2
27/9 = 3
18/27 reduced to lowest terms is 2/3
Split up the interval [0, 8] into 4 equally spaced subintervals:
[0, 2], [2, 4], [4, 6], [6, 8]
Take the right endpoints, which form the arithmetic sequence
where 1 ≤ <em>i</em> ≤ 4.
Find the values of the function at these endpoints:
The area is given approximately by the Riemann sum,
where 
; so the area is approximately
where we use the formulas,
Answer:
29
Step-by-step explanation:
full angle of a triangle is 180 and 34+177=151 then you just do 180-151=29.
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%.
Learn more about z test at brainly.com/question/14453510
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