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oksano4ka [1.4K]
3 years ago
15

A factory can work its employees no more than 6 days a week, and no less than 2 days per

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

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Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on
Zanzabum

Answer:

A score of 2.6 on a test with \bar X = 5.0 and s = 1.6 and A score of 48 on a test with \bar X = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with \bar X = 5.0 and s = 1.6

II. A score of 650 on a test with \bar X = 800 and s = 200

III. A score of 48 on a test with \bar X = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

<u>The z-score probability distribution is given by;</u>

              Z = \frac{X-\bar X}{s} ~ N(0,1)

where, \bar X = mean score

            s = standard deviation

            X = each score on a test

  • <u>The z-score of First condition is calculated as;</u>

Since we are given that a score of 2.6 on a test with \bar X = 5.0 and s = 1.6,

So,  z-score = \frac{2.6-5}{1.6} = -1.5  {where \bar X = 5.0 and s = 1.6 }

  • <u>The z-score of Second condition is calculated as;</u>

Since we are given that a score of 650 on a test with \bar X = 800 and s = 200,

So,  z-score = \frac{650-800}{200} = -0.75  {where \bar X = 800 and s = 200 }

  • <u>The z-score of Third condition is calculated as;</u>

Since we are given that a score of 48 on a test with \bar X = 57 and s = 6,

So,  z-score = \frac{48-57}{6} = -1.5  {where \bar X = 57 and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that <u>A score of 2.6 on a test with </u>\bar X<u> = 5.0 and s = 1.6</u> and <u>A score of 48 on a test with </u>\bar X<u> = 57 and s = 6 </u> indicate the highest relative position.

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