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slega [8]
3 years ago
6

Help please? Suppose you have a normally distributed set of data pertaining to a standardized test. The mean score is 500 and th

e standard deviation is 100. What is the z-score of 450 point score? 1.5 1 0.5 -0.5
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0
The formula to calculate the z-score of a certain value is:

z = (x - (mean))/(standard deviation)

In this example, the x-value is 450, the S.D. is 100, and the mean is 500.

So, substitute these values into the formula.

z = (450-(500))/100
z=-50/100
z=-0.5

Therefore, the z-score is -0.5.
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Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

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The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

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Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

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