The quotient of a number and -7, decreased by 2, is 10. Find the number. Show work
1 answer:
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Given that Nicholas has a 115 fantasy and science fiction books which is 46% of his collection.
Now we have to find what is total number of books in his collection.
Let number of books in Nicholas collection = x
then number of fantasy and science fiction books = 46% of x = 0.46x
We already know that he has 115 fantasy and science fiction books, so both values will be equal and give equation:
0.46x=115
now we can solve this equation to find the answer.
x= 250
Hence final answer is:
Nicholas has 250 books in his collection.
Answer:
Step-by-step explanation:
A uniform distribution, "sometimes also known as a rectangular distribution, is a distribution that has constant probability".
We need to take in count that our random variable just take values between 0 and 1 since is uniform distribution (0,1). The maximum of the finite set of elements in (0,1) needs to be present in (0,1).
If we select a value we want this:
And we can express this like that:
for each possible i
We assume that the random variable are independent and
from the definition of an uniform random variable between 0 and 1. So we can find the cumulative distribution like this:
And then cumulative distribution would be expressed like this:
For each value we can find the dendity function like this:
So then we have the pdf defined, and given by:
and 0 for other case
And now we can find the expected value for the random variable X like this: