If 48% of the students in a certain college are female and there are 1440 female students, what is the total number of students
1 answer:
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Brian has 39 cards and Wesley has 48 cards
Step-by-step explanation:
Let w be the number of cards Wesley has
and
b be the number of cards Brian has
Then
Putting w = 2b-30 in equation 1
Dividing both sides by 3
Putting b=39 in equation 2
Hence,
Brian has 39 cards and Wesley has 48 cards
Keywords: Linear equations, variables
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Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is