Must the difference between 2 rational numbers be a rational number?
Answers
Yes. The difference between 2 rational numbers must be a rational number.
The first rational number can always be written as a fraction of integers.
Let's call it A/B .
The second rational number can always be written as a fraction of integers.
Let's call that one C/D .
Their difference is A/B - C/D .
'BD' is a common denominator.
A/B = AD/BD
C/D = CB/BD
A/B - C/D = AD/BD - CB/BD =
(AD - CB) / BD
Each term in that ugly thing /\ is a product of integers,
so it must be must be another integer.
Therefore the whole ugly fraction is another rational number.
The difference will always be rational. This is because the denominator will never be 0. Everything is closed under some kind of operation, and the answers will always be able to be written as a ratio.
Hope that helped.
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A salesperson's ratio of successful signups to the number of people called is 0.925. This month, the salesperson had 185 signups. How many people did the salesperson call this month?
Answers
Now, to turn the decimal into a percentage, multiply by 100.
62.5% of the guests are male.
1.) First you multiply 35 and 100= 3500
2.) Second divide 3500 by 56= 62.5
3.) Third, add the percent sign making the final answer 62.5%
Answers
in x - 9.2 = 13.8
there is a - 9.2 so to move it to the other side you add 9.2 to both sides of the equation
x -9.2 +9.2 =13.8 +9.2
the 9.2 cancel each other out which leaves
x = 13.8 +9.2
then you just add 13.8 +9.2 to find what x equals
Take 9.2 to the other sides to isolate x
x - 9.2 +(9.2) = 13.8 + 9.2
9.2 and 9.2 cancels out
x = 23
Answers
Used a calculator.
Answers
The second line (start of box) is the lower quartile
The Middle line is the median
The fourth line (End of box) is the upper quartile
The last line is the highest value
A box plot with a longer box shows that interquartile range is likely to be larger suggesting more of a spread in data.
Answer:
A hope this helps!
Step-by-step explanation:
- The box range is 22 to 29
- The dividing line of the box is at 24 is the median
- For minivans
- The range given as Minimum = 14 and Maximum = 26
- The range of the whiskers is 14 to 26
- The box range is 18 to 21
- The dividing line of the box is at 19 is the median
- Therefore, the range of the box plot for cars is the difference of the values at the ends of the whiskers, that is 33 - 21 = 8
- The range for minivan = 26 - 12 = 14
- Therefore, Josef's error is that, Josef confused the range and the interquartile range.
65.77pi x 663.23455pi / 9 xpi
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65.77π x 663.23455π / 9π
= (65.77 x 663.23455 / 9) π
= 4,846.770706... π (rounded)
= 15,226.57924 (rounded)
Answers
Answer:
360
Step-by-step explanation:
126/35%=360
Answer:
Step-by-step explanation: