Step-by-step explanation:
When creating a box plot, the 3 middle values are not found by dividing the distance between the max and min values and then dividing the distances in half again. The 3 middle values are found by finding the median of the set of values, the median of the first half of values, and the median of the last half of values. For example, if the data values were 2, 3, 3, 5, 8, 8, 9, 10, 11, the median is 8, the median of the first half is 3, and the median of the last half is 9. The points to plot to make the box plot are then 2, 3, 8, 9, and 11.
The question is essentially asking for the least common multiple of 20 and 25. There are several ways you can find the LCM. One easy way is to divide the product by the GCD (greatest common divisor).
GCD(20, 25) = 5 . . . . . see below for a way to find this, if you don't already know
LCM(20, 25) = 20×25/GCD(20, 25)
... = 500/5 = 100
The buses will be there together again after ...
... B. 100 minutes
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You can also look at the factors of the numbers:
... 20 = 2²×5
... 25 = 5²
The least common multiple must have factors that include all of these*, so must be ...
... 2²×5² = 100
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* you can describe the LCM as the product of the unique factors to their highest powers. 20 has 2 raised to the 2nd power. 25 has 5 raised to the 2nd power, which is a higher power of 5 than is present in the factorization of 20. Hence the LCM must have 2² and 5² as factors.
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You can also look at the factorization of 20 and 25 to see that 5 is the only factor they have in common. That is the GCD, sometimes called the GCF (greatest common factor).
Answer:
uhhhh there's no question
Answer: 4/12 + 1/4 = 7/12 5/12 + 1/4 = 2/3
Step-by-step explanation:
Answer:
D)
Step-by-step explanation:
4 is an evident zero of the equation x^3 - 64.
x^3 - 64 can only be factorized with (x-4) and not with (x+4)
because x - 4 = 0 <==> x = 4 and 4^3 -64 = 0
Developing B) would be:
x^3 + 4x^3 + 16x - 4x^2 - 16x - 64 = 5x^3 - 4x^2 -64
So it doesn't match so it's D)
