Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

8 0

Answer:

5.66038

Step-by-step explanation:

Given

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score= (x- μ)/σ

z-score of 130= (130-100)/5.3

=30/5.3

=5.66038

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Suppose two adjacent endpoint of a rotated square are located at (-4, -6) and (5, -1) on the coordinates axes. What is the lengt

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To find the length of the side of the square, we just need to find the distance between the two endpoints. This problem can quickly be solved by using the distance formula, but for those who are not familiar with it, we can simply solve it by analyzing a triangle.

Take a look at the diagram below. We are interested in x. To find this we have created a right triangle. The horizontal component is just the distance between the x coordinates of the two points while the vertical component is the distance between the y coordinates.

The horizontal component is 9 and the vertical component is 5. We can now get x by using the pythagorean theorem:

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ANSWER: The length of the side of the square measures 10.30 units.