Answer:
0.02275
Step-by-step explanation:
We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.
We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.
Now, we will use normal distribution table to find area under z-score of 
as:
Therefore, the probability of completing the exam in one hour or less is 0.02275.
Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,
a=mb, here, m = k-1
Hence, proved.
Answer:
See explanation
Step-by-step explanation:
Jimmy is incorrect.
Using long division, you can find that the real answer.
First, subtract 
from the original expression, leaving you with 
.
Next, subtract 
from the expression, leaving you with 
. Finally, subtract 
from the expression, leaving you with a remainder of 0. This means that the real quotient is 
. Hope this helps!
Let's say Jackson's age now is x.
In 20 years, (so 20+x), Jackson seven years ago will be 2/5ths of that age.
So 2/5(20+x)=x-7
Then you solve the equation
8+2/5x=x-7
15=3/5x
x=25
Jackson is 25 years old.
Let's check our answer! In 20 years, Jackson will be 45. 7 years ago, he was 18. 2/5 of 45 is 18. Our answer is correct!
20/500
0.04 of a chance
because 1 chapter has 20 pages and the book has 500
so the chance of you flipping to chapter 12 out of 500 pages is 4% of a chance
