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algol13
3 years ago
8

a delivery company did a survey to find more about the parcels they were delivering Complete the table of cumulative frequencies

(c.f) and plot the points

Mathematics
1 answer:
taurus [48]3 years ago
5 0

Answer:

Step-by-step explanation:

       Mass (m kg)          frequency             mass (m kg)         c.f.

0 < m ≤ 0.1                         4                            m ≤ 0.1                4

0.1 < m ≤ 0.2                      6                            m ≤ 0.2              10

0.2 < m ≤ 0.5                    58                           m ≤ 0.5             68

0.5 < m ≤ 0.8                    28                           m ≤ 0.8             96

0.8 < m ≤ 1.0                      4                             m ≤ 1.0             100

Total number of parcels surveyed = cumulative frequency = 100

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svetoff [14.1K]

Answer:

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Step-by-step explanation:

Let x represent the ones digit. The tens digit will be higher, because reversing the digits results in a lower number. Its value is (14 -x). The given relation is ...

  (10(14-x) +x) -(10x +(14 -x)) = 36 . . . . reversing the digits gives 36 less

  140 -9x -9x -14 = 36 . . . . eliminate parentheses

  90 = 18x . . . . . . . . add 18x-36

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The original number is 95.

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<em>Check</em>

  95 -59 = 36

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<em>Additional comment</em>

The difference in value when the digits of a 2-digit number are reversed is always 9 times the difference in the digits. This means the difference in the digits is 36/9 = 4. Since the sum of digits is 14, the two digits are (14+4)/2 = 9 and (14-4)/2 = 5. 95 is the number of interest.

The solutions to a "sum and difference" problem are half the sum and half the difference of the given sum and difference. That is how we know the larger digit is (1/2)(14 + 4), for example.

We worked this "the hard way" using the above equation. It can actually be worked in your head if you're familiar with these generic solutions.

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3 years ago
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