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puteri [66]
3 years ago
14

Which ordered pairs make both inequalities true? Check all that apply.

Mathematics
2 answers:
Margaret [11]3 years ago
6 0
When an <span>inequality is true it is in the region that both are shaded, so the answer would be 1,1 and 2,2</span>
Tema [17]3 years ago
4 0

Answer: The pair (2, 2)

Step-by-step explanation:

The inequalities that we have are:

y ≥ (1/5)x + 1

y < 2x + 1

Now, let's try the options:

Notice that the pairs that make bot inequalities true are pairs that lie in the region where we have both colors (blue and orange)

Those options will be the pairs (1,3) and (2,2)

now, let's prove if those numbers work for our inequalities.

(1,3)

3 ≥ (1/5)*1 + 1 = 6/5  true

3 < 2*1 + 1 = 3 false

here we have a problem, while the pair (1,3) lies in the region, it lies exactly in the doted line of the second inequality, this means that this pair does not work for the second inequality.

now, let's test the other option.

(2, 2)

2 ≥ (1/5)*2 + 1  =7/6 true

2 < 2*2 + 1 = 5 true

the correct option is the pair (2, 2)

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Answer:

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 Less than 40                             37                                27 + 37  =  64

 Less than 50                              1 1                                 64 + 11   =  75

 Less than 60                               3                                  75 + 2   =  77

 Less than 70                               5                                   77 + 5   =  82

 Less than 80                               1                                     82 + 1  =  83

 Less than 90                              2                                    83 +2  =  85

Step-by-step explanation:

Given:

The Frequency Distribution table of ages of best actresses when award was won

To find:

Construct the cumulative frequency distribution

Solution:

In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40  is 37 and the previous frequency (less than 30) is 27 so in order to calculate cumulative frequency 27 i.e. previous frequency is added to 37 (frequency of less than 30). The complete table is given above.

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Answer:

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