5/7 - 3/9 = what is the answer for this problem can u explain how would I get the answer for this problem
1 answer:
Step-by-step explanation:
To solve this problem, we should first have common denominators.
We should find the LCM (Least Common Multiple) of the 2 denominators.
The LCM of 7 and 9 is 63.
Each fraction is out of 63, but whatever number you multiply to get 63, you use that same number for the numerator.
5 x 9 = 45, 3 x 7 = 21.
We have our problem, 45 / 63 - 21 / 63.
Subtract the 2 numerators.
45 - 21 = 24.
Our answer is 24 / 63.
We need to simplify this problem.
Both numbers are divisible by 3.
Divide both Terms, or numbers by 3.
24 / 3 = 8.
63 / 3 = 21.
<u>8 / 21 is our answer simplified.</u>
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Therefore, your difference is 8 / 21.
Best of Luck to you.
If you have any questions, feel free to comment below.
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Answer:
a) 0.31 = 31%
b) 0.03 = 3%
c) 0.36 = 36%
d) 2 times
Step-by-step explanation:
If is the cumulative distribution function of the random variable X, then by definition the probability P of the random variable is given by
If additionally the random variable is discrete (only has non-negative integers as outcomes as is the case in this problem) then
a)
We are looking for P(X<2)
b)
In this case we want P(X>3)
c)
Now, we are interested in P(X=1)
d)
The expected number of times that the process is recalibrated during the week is the expected value of the probability distribution:
P(X=1)+2P(X=2)+...+nP(X=n)+...
But it is easy to see that P(X=n) = 0 if n is an integer >4
So, the expected value is
P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)
We already have P(X=1) and P(X=2). Let's compute the rest
and the expected value is
0.36 + 2*0.53+3*0.13+4*0.03= 1.93 = 2 times rounding to the nearest integer.