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The scores on a mathematics exam have a mean of 70 and a standard deviation of 5. Find the x-value that corresponds to the z-score 2.33. Give the exact answer.

Answer :

Given:

Mean (μ) = 70

Standard deviation (σ) = 5

z-score = 2.33

To find:

The X-value.

Solution:

We know that,

[tex]z=\dfrac{X-\mu}{\sigma}[/tex]

On substituting the values, we get

[tex]2.33=\dfrac{X-70}{5}[/tex]

Multiply both sides by 5.

[tex]2.33\times 5=X-70[/tex]

[tex]11.65=X-70[/tex]

Add 70 on both sides.

[tex]11.65+70=X[/tex]

[tex]81.65=X[/tex]

Therefore, the required X-value is 81.65.

Cetacea

Answer:

x value is 81.65.

Step-by-step explanation:

Given:

  • Mean = 70
  • Standard deviation = 5
  • z score = 2.33

Using the z-score formula:

z = (x - mean) / SD

Plug the values:

[tex]2.33=\frac{x-70}{5}\\x=5\left(2.33\right)+70\\x=81.65[/tex]

Find out more information about the z-score here: https://brainly.com/question/17436641

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