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finlep [7]
3 years ago
7

Solve the inequality - 3 ( x - 5/3 ) <26

Mathematics
1 answer:
matrenka [14]3 years ago
6 0

Answer:

x < 21

Step-by-step explanation:

to solve this - 3 ( x - 5/3 ) <26  inequality

- 3 ( x - 5/3 ) <26

- ( x - 5) = 26

x + 5 = 26

x = 26 - 5

x = 21

therefore x < 21

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Step-by-step explanation:

From the first dot plot the given data set for week 1 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69), (70, 70, 72, 72, 72), (75, 75, 76, 78, 78), (80, 80, 80, 89, 89)

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Median=\frac{72+75}{2}=73.5

Mean=\frac{\sum x}{n}=\frac{1491}{20}=74.55

From the second dot plot the given data set for week 2 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 85, 86, 86, 86, 88, 88, 88, 88, 89, 89, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69, 70, 70), 72, (72, 72, 75, 75, 76, 78, 78), (80, 80, 80, 85, 86, 86, 86), 88, (88, 88, 88, 89, 89, 89, 89)

Range=Maximum-Minimum=89-62=27

Median=\frac{78+80}{2}=79

Mean=\frac{\sum x}{n}=\frac{2364}{30}=78.8

The range for Week 1 is equal to the range for Week 2.

The median for Week 2 is more than the median for Week 1.

The mean for Week 2 is more than the mean for Week 1.

Therefore, the correct option is A.

6 0
3 years ago
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