Answer: b. 0.8413
Step-by-step explanation:
Given : The average time taken to complete an exam, X, follows a normal probability distribution with
and
.
Then, the probability that a randomly chosen student will take more than 30 minutes to complete the exam will be :-
[using z-value table]
Hence, the probability that a randomly chosen student will take more than 30 minutes to complete the exam = 0.8413
Answer:
D. 
Step-by-step explanation:

Since we are multiplying an exponential number to a fraction the answer is going to be

Hope this helps ❤❤❤ ;)
A hummingbird flies at an average speed of 25-30 miles per hour and can do a fast dive at up to 60 miles per hour. A: Yes. A cheetah will run at about 70 miles per hour and a hummingbird flies at about 25-30 miles per hour.
Answer:
The value is 
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is 
The bearing from B to A is 
The bearing from A to B is 
The bearing from A to C is 
Generally from the diagram

=> 
Also

and

=> 
=> 
Generally according to Sine Rule

=>
So

=> 
Also


Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
![k = [CA +BC] - AB](https://tex.z-dn.net/?f=k%20%3D%20%5BCA%20%2BBC%5D%20%20-%20AB%20)
=> ![k = [260 .1 +316.8]- 467.3](https://tex.z-dn.net/?f=%20k%20%3D%20%5B260%20.1%20%2B316.8%5D-%20467.3%20)
=> 
Answer:
It is not ''significant''
Step-by-step explanation:
Let's call the event
A : ''Answer a question correctly if a random guess is made''
Now we calculate the probability for the event A

In the exercise A occurs in only one way and the total cases are the number of possible answers


An event B is ''significant'' if 

⇒A it is not a ''significant'' event