Answer:
The fraction is 
Step-by-step explanation:
= 
Where x and y are the numerator and denominator of our new fraction respectively.
Also given is that x + y = 24
So = 36 ÷ 60 = 0.6
x = 0.6y
Substituting x in x + y = 24 gives;
0.6y + y = 24 , 1.6y = 24
y = 24 ÷ 1.6 = 15
x = 24 - 15 = 9
So our fraction is
This is a probablity question
there are 3 slots, 26 letters of the alphabet
so in the first slot, we have 26 possible letters
2nd slot, we have 25 possible letters (we used one for the first slot)
3rd slot, we have 24 possible letters, (we used 2 for first and 2nd slot)
so in total, we have 26*25*24 or 15600 different 3 letter initials with no repeated letters
Answer:
25.13
Step-by-step explanation:
Formular
= C = 2πr
C = circumference
r = radius
2 × 3.14 × 4
= 25.13
<u>Use Chebyshev's Theorem to 88.89 % </u><u> the percentage of gasoline stations that had prices within 3 standard deviation of the mean.</u>
What is the Chebyshev's theorem?
- Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified number of standard deviations from the mean.
- This theorem applies to a broad range of probability distributions.
- Chebyshev's Theorem is also known as Chebyshev's Inequality.
By Chebyshev's inequality, for any distribution at least
* 100 percentage of values falls within k standard deviation about mean .
here k=3 . Apply this to equation and find percentage that falls within 3 standard deviation about mean.
= 88.89
So, 88.89 % of gasoline station had price within 3 standard deviation about mean .
Learn more about Chebyshev's inequality
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