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Norma-Jean [14]
2 years ago
12

Please add am explanation.

Mathematics
1 answer:
iren2701 [21]2 years ago
5 0

Answer:

5(k + 1) and 5k + 5

Step-by-step explanation:

The easiest way to do this is to pick any number to substitute in for the variable <em>k </em>for ALL of the expressions, and find the expressions that equal the same as the first expression being compared.

For example, lets just make <em>k </em>equal 1 to make things easy. Plug 1 into <em>k</em> into the first expression. 2k + 2 + k + 3 + 2k → 2(1) + 2 + (1) + 3 + 2(1) = 10.

Now we do the same to the rest of the expressions and see which ones ALSO equal 10.

5(k + 1) → 5(1 + 1) = 10

5k + 5 → 5(1) + 5 = 10

5 + k^5 → 5 + (1)^5 = 6

5k^5 → 5(1)^5 = 5

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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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