Answer: 0.970 ??
Step-by-step explanation:
<span>The equation is: 4x + y + a = 0
Point (4, -3) </span>⇒ x = 4 and y = - 3<span>
</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0
13 + a = 0
a = -13
</span>Ansver: equation is: 4x + y - 13 = <span>0 OR 4x + y = 13
</span>
The distance is 8, since the x co-ordinate stays 5, the y co-ordinate goes from 10 to 2, which is an 8 distance
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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